Stéphane Junca

84
Documents
Affiliation actuelle
  • Laboratoire Jean Alexandre Dieudonné (LJAD)

Présentation

Hyperbolic PDEs: conservation laws; fractional BV spaces; nonlinear acoustics; nonlinear modes: unilateral contact; Elo's ranking

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Publications

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AN OLEINIK INEQUALITY FOR A CLASS OF HETEROGENEOUS BALANCE LAWS

Rida Harb , Stéphane Junca

Networks and Heterogeneous Media, 2026, 21 (1), pp.22-54

Article dans une revue hal-05349926v2
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OLEINIK INEQUALITY FOR SCALAR AUTONOMOUS BALANCE LAWS

Rida Harb , Stéphane Junca

Journal of Hyperbolic Differential Equations, In press

Article dans une revue hal-05145112v3
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Global weak solutions of a Hamiltonian regularised Burgers equation

Billel Guelmame , Stéphane Junca , Didier Clamond , Robert L Pego

Journal of Dynamics and Differential Equations, 2024, 36 (2), pp.1561-1589. ⟨10.1007/s10884-022-10171-0⟩

Article dans une revue hal-02478872v2
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Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux

Shyam Sundar Ghoshal , Stéphane Junca , Akash Parmar

SIAM Journal on Mathematical Analysis, In press, 56 (5), pp.6121-6136. ⟨10.1137/23M1604199⟩

Article dans une revue hal-04159629v1
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Fractional regularity for conservation laws with discontinuous flux

Shyam Sundar Ghoshal , Stéphane Junca , Akash Parmar

Nonlinear Analysis: Real World Applications, In press, 75, pp.103960. ⟨10.1016/j.nonrwa.2023.103960⟩

Article dans une revue hal-03669742v2
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Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics

Maryam Al Zohbi , Stéphane Junca

Journal of Evolution Equations, 2023, 23 (2), pp.40. ⟨10.1007/s00028-023-00887-x⟩

Article dans une revue hal-03849987v2
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First return time to the contact hyperplane for n-degree-of-freedom vibro-impact systems

Huong Le Thi , Stéphane Junca , Mathias Legrand

Discrete and Continuous Dynamical Systems - Series B, 2022, 27 (1), pp.1-44. ⟨10.3934/dcdsb.2021031⟩

Article dans une revue hal-01957546v2
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Entropy solutions in BV<sup>s</sup> for a class of triangular systems involving a transport equation

Christian Bourdarias , Anupam Pal Choudhury , Billel Guelmame , Stéphane Junca

SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.791-817. ⟨10.1137/20M1351783⟩

Article dans une revue hal-02895603v3
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Hamiltonian regularisation of the unidimensional barotropic Euler equations

Billel Guelmame , Didier Clamond , Stéphane Junca

Nonlinear Analysis: Real World Applications, 2022, 64, 22p. ⟨10.1016/j.nonrwa.2021.103455⟩

Article dans une revue hal-02907304v1
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Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom

Billel Guelmame , Didier Clamond , Stéphane Junca

Methods and Applications of Analysis, 2022, 29 (3), pp.295-302. ⟨10.4310/MAA.2022.v29.n3.a4⟩

Article dans une revue hal-02915262v1
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D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact

David Urman , Mathias Legrand , Stéphane Junca

Nonlinear Analysis: Hybrid Systems, 2021, ⟨10.1016/j.nahs.2021.101115⟩

Article dans une revue hal-02984137v2
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Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$

Shyam Sundar Ghoshal , Billel Guelmame , Animesh Jana , Stéphane Junca

Nonlinear Differential Equations and Applications, 2020, 27 (5), pp.46. ⟨10.1007/s00030-020-00649-5⟩

Article dans une revue hal-02495036v2
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Analysis of a Sugimoto's model of nonlinear acoustics in an array of Helmholtz resonators

Stéphane Junca , Bruno Lombard

SIAM Journal on Applied Mathematics, 2020, 80 (4), pp.1704-1722. ⟨10.1137/19M1280624⟩

Article dans une revue hal-02186692v2
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Kinetic formulation of a $2 \times 2$ hyperbolic system arising in gas chromatography

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Kinetic and Related Models , 2020, 13 (5), pp.869-888. ⟨10.3934/krm.2020030⟩

Article dans une revue hal-01471783v1
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Regularizing effect for conservation laws with a Lipschitz convex flux

Billel Guelmame , Stéphane Junca , Didier Clamond

Communications in Mathematical Sciences, 2019, 17 (8), pp.2223-2238. ⟨10.4310/CMS.2019.v17.n8.a6⟩

Article dans une revue hal-01943834v1
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Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases

Huong Le Thi , Stéphane Junca , Mathias Legrand

Nonlinear Analysis: Hybrid Systems, 2018, 28, pp.54-74. ⟨10.1016/j.nahs.2017.10.009⟩

Article dans une revue hal-01305719v2
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On the maximal smoothing effect for multidimensional scalar conservation laws

Pierre Castelli , Stéphane Junca

Nonlinear Analysis: Theory, Methods and Applications, 2017, 155, pp.207-218. ⟨10.1016/j.na.2017.01.018⟩

Article dans une revue hal-01290871v1
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Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws

Pierre Castelli , Stéphane Junca

Journal of Mathematical Analysis and Applications, 2017, 451, pp.712-735. ⟨10.1016/j.jmaa.2017.02.026⟩

Article dans une revue hal-01133725v2
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Nonsmooth modal analysis of a $N$-degree-of-freedom system undergoing a purely elastic impact law

Mathias Legrand , Stéphane Junca , Sokly Heng

Communications in Nonlinear Science and Numerical Simulation, 2017, 45, pp.190-219. ⟨10.1016/j.cnsns.2016.08.022⟩

Article dans une revue hal-01185980v2
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Eulerian and Lagrangian formulations in $BV^s$ for gas-solid chromatography

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca , Yue-Jun Peng

Communications in Mathematical Sciences, 2016, 14 (6), pp.1665 - 1685. ⟨10.4310/CMS.2016.v14.n6.a10⟩

Article dans une revue hal-01258286v1
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Limitation on the Method of Strained Coordinates for Vibrations with Weak Grazing Unilateral Contact

Stéphane Junca , Ly Tong

Nonlinear Dynamics, 2015, 80, pp.197-207. ⟨10.1007/s11071-014-1860-9⟩

Article dans une revue hal-01143612v1
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A Continuous Model For Ratings

Pierre-Emmanuel Jabin , Stéphane Junca

SIAM Journal on Applied Mathematics, 2015, 75 (2), pp.420-442. ⟨10.1137/140969324⟩

Article dans une revue hal-01143609v1
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Fractional BV spaces and first applications to scalar conservation laws

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Journal of Hyperbolic Differential Equations, 2014, 11 (4), pp.655-677. ⟨10.1142/S0219891614500209⟩

Article dans une revue hal-00785747v1
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High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws

Stéphane Junca

SIAM Journal on Mathematical Analysis, 2014, 46 (3), pp.2160-2184. ⟨10.1137/120880367⟩

Article dans une revue hal-00576662v3
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Stability of a critical nonlinear neutral delay differential equation

Stéphane Junca , Bruno Lombard

Journal of Differential Equations, 2014, 26, pp.2368-2391. ⟨10.1016/j.jde.2014.01.004⟩

Article dans une revue hal-00743970v1
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Interaction between periodic elastic waves and two contact nonlinearities

Stéphane Junca , Bruno Lombard

Mathematical Models and Methods in Applied Sciences, 2012, 22 (4), pp.41. ⟨10.1142/S0218202511500229⟩

Article dans une revue hal-00549051v2
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The Method of Strained Coordinates for Vibrations with Weak Unilateral Springs

Stéphane Junca , Bernard Rousselet

IMA Journal of Applied Mathematics, 2011, 76 (02), pp.251-276. ⟨10.1093/imamat/hxq045⟩

Article dans une revue hal-00395351v2
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Averaging lemmas with a force term in the transport equation

Florent Berthelin , Stéphane Junca

Journal de Mathématiques Pures et Appliquées, 2010, 93 (2), pp.113-131. ⟨10.1016/j.matpur.2009.10.009⟩

Article dans une revue hal-00874401v1
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Strong Stability with respect to weak limit for a Hyperbolic System arising from Gas Chromatography

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Methods and Applications of Analysis, 2010, 17 (3), pp.301-330. ⟨10.4310/MAA.2010.v17.n3.a5⟩

Article dans une revue hal-00387499v1
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BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A $ 2 × 2$ SYSTEM ARISING FROM CHEMICAL ENGINEERING

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Journal of Hyperbolic Differential Equations, 2010, 7 (2), pp.297-316. ⟨10.1142/S0219891610002116⟩

Article dans une revue hal-00403226v2
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Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave

Stéphane Junca , Bruno Lombard

SIAM Journal on Applied Mathematics, 2009, 70 (3), pp.735-761. ⟨10.1137/080741021⟩

Article dans une revue hal-00339279v2
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Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems

Stéphane Junca

Revista Matemática Iberoamericana, 2008, 24 (2), pp.549-566. ⟨10.4171/RMI/546⟩

Article dans une revue hal-01145732v1
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Hyperbolic models in gas-solid chromatography

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2008, 43, pp.29-57

Article dans une revue hal-00387202v1
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Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Communications in Mathematical Sciences, 2007, 5 (1), pp.67-84. ⟨10.4310/CMS.2007.v5.n1.a3⟩

Article dans une revue hal-00387192v1
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Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Journal of Mathematical Analysis and Applications, 2006, 313 (2), pp.551-571. ⟨10.1016/j.jmaa.2005.07.082⟩

Article dans une revue hal-00387187v1
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Limites d'images de suites et limite de fonction

Stéphane Junca

RMS : revue de la filière mathématiques [2004-..], 2006, 116 (2), pp.17-26

Article dans une revue hal-01312350v1
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Etonnante précision de la méthode des moindres carrés pour des séries chronologiques issues de modèles linéaires fortement perturbés

Stéphane Junca

Le Bulletin Vert = Bulletin de l'APMEP, 2006, 467, pp.855-867

Article dans une revue hal-01312346v1
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Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

Gui-Qiang Chen , Stéphane Junca , Michel Rascle

Journal of Differential Equations, 2006, 222 (2), pp.439-475. ⟨10.1016/j.jde.2005.04.014⟩

Article dans une revue hal-01312334v1
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Calculatrices, nombres positifs, précisions relatives, pourcentages et distance logarithmique

Stéphane Junca

Le Bulletin Vert = Bulletin de l'APMEP, 2005, 458, pp.395-406

Article dans une revue hal-01312347v1
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Fourier-based distances and Berry-Esseen like inequalities

Thierry Goudon , Stéphane Junca , Giuseppe Toscani

Monatshefte für Mathematik, 2002, 135 (2), pp.115-136. ⟨10.1007/s006050200010⟩

Article dans une revue istex hal-01312340v1
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Strong relaxation of the isothermal Euler system to the heat equation

Stéphane Junca , Michel Rascle

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2002, 53 (2), pp.239-264. ⟨10.1007/s00033-002-8154-7⟩

Article dans une revue istex hal-01312344v1
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Relaxation of the isothermal Euler-Poisson system to the Drift-Diffusion equations

Stéphane Junca , Michel Rascle

Quarterly of Applied Mathematics, 2000, 58 (3), pp.511-521. ⟨10.1090/qam/1770652⟩

Article dans une revue hal-01312342v1
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Vanishing pressure in gas dynamics equations

Thierry Goudon , Stéphane Junca

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2000, 51 (1), pp.143-148. ⟨10.1007/PL00001502⟩

Article dans une revue istex hal-01312338v1
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Moyennes, iterations et convergence quadratique

Stéphane Junca

RMS : revue de la filière mathématiques [2004-..], 1998, 3-4, pp.359-363

Article dans une revue hal-01312349v1
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A two-scale convergence result for a nonlinear scalar conservation law in one space variable

Stéphane Junca

Asymptotic Analysis, 1998, 17 (3), pp.221-238

Article dans une revue hal-01312326v1
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Reflections of one-dimensional oscillations

Stéphane Junca

Communications in Partial Differential Equations, 1998, 23 (3-4), pp.727-759. ⟨10.1080/03605309808821362⟩

Article dans une revue hal-01312324v1

Grazing Linear Mode, instability, ergodicity, for N-degree-of-freedom vibro-impact systems

Stéphane Junca

12 th Symposium of the European Network for Non Smooth Dynamics, FAU Erlangen-Nürnberg, Giuseppe Capobianco, Sep 2025, Erlangen, Germany

Communication dans un congrès hal-05295359v1

Elo, a universal ranking system with pairwise comparisons. The pairing effect.

Stéphane Junca

Population dynamics: Model design, optimization & control, Thomas Rey, Christophe Henry, Paola Goatin, Abderrahmane Habbal, Ludovic Mailleret, Oct 2025, NICE, France

Communication dans un congrès hal-05319888v1

First return time on the contact hyperplane near a grazing linear mode

Stéphane Junca

journées du GdR EX-MODELI en l'honneur de Claude-Henri Lamarque, GdR EX-MODELI, Oct 2024, Villeurbanne (INSA-Lyon), France

Communication dans un congrès hal-04744493v1

A non-conservative and non-strictly hyperbolic diagonal system related to crystallography

Stéphane Junca , Maryam Al Zohbi

13th AIMS Conference on Dynamical Systems, Differential equations and Applications, May 2023, Wilmington, United States

Communication dans un congrès hal-04197314v1

Fractional BV spaces for hyperbolic conservation laws

Stéphane Junca

Ulysseus Spring School in PDEs (USSPDE), Jun 2023, Seville, Spain

Communication dans un congrès hal-04197299v1

Oleinik's inequality for Lipschitz convex flux

Stéphane Junca , Billel Guelmame , Didier Clamond

Webinar on PDE ( partial differential equation ) and related areas, Shyam Sundar Ghoshal, Jan 2022, Bengaluru, India

Communication dans un congrès hal-03548736v1

Existence of entropy solutions in BVs for a non-conservative and non-strictly hyperbolic diagonal system modelling 2 dislocations in cristallography

Maryam Al Zohbi , Stéphane Junca

Canum 2022 - 45eme Congrès National d'Analyse Numérique, Jun 2022, Evian, France

Communication dans un congrès hal-03704699v1

Convergence du classement Elo, du microscopique au mésoscopique

Stéphane Junca

Journées d'Analyse appliquée Nice-Toulon-Marseille, Jun 2021, Porquerolles, France

Communication dans un congrès hal-03274280v1
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Smooth solutions for nonlinear elastic waves with softening

Harold Berjamin , Stéphane Junca , Bruno Lombard

HYP2018 - 17th International Conference on Hyperbolic PDEs, Alberto BRESSAN, Marha Lewicka, Dehua Wang, Yuxi Zheng, Jun 2018, College Park, United States. pp.304-3011

Communication dans un congrès hal-01994898v2

Existence in $BV^s$ for $2 \times 2$ systems of conservation laws

Stéphane Junca

NEPDE The fifth international conference on nonlinear evolutionary partial differential equations-theories and applications, Song Jiang, Congming Li, Tatsien Li, Chengjie Liu, Yue-Jun Peng, Weike Wang, Ya-Guang Wang, Feng Xie, Tong Yang, Dec 2020, Shanghai, China

Communication dans un congrès hal-03143791v1
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Fractional spaces and conservation laws

Pierre Castelli , Pierre-Emmanuel Jabin , Stéphane Junca

XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications: Hyp2016, Klingenberg C.; Westdickenberg M., Aug 2016, Aachen, Germany. pp.285-293, ⟨10.1007/978-3-319-91545-6_23⟩

Communication dans un congrès hal-01407099v1
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Impact dynamics near unilaterally constrained grazing orbits

Stéphane Junca , Huong Le Thi , Mathias Legrand , Anders Thorin

9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary

Communication dans un congrès hal-01562154v1
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Stability of neutral delay differential equations modeling wave propagation in cracked media

Stéphane Junca , Bruno Lombard

The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jun 2014, Madrid, Spain. ⟨10.3934/proc.2015.0678⟩

Communication dans un congrès hal-01143712v2
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Nonsmooth modal analysis: Investigation of a 2-dof spring-mass system subject to an elastic impact law

Anders Thorin , Mathias Legrand , Stéphane Junca

International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46796⟩

Communication dans un congrès hal-01185973v1

Interactions between ultrasonic waves and nonlinear cracks with finite compressibility

Stéphane Junca , Bruno Lombard

Journées d’Analyse Appliquée Nice-Toulon-Marseille, May 2015, Porquerolles, France

Communication dans un congrès hal-01310479v1
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Nonlinear modes for a discrete mechanical system with rigid contact

Sokly Heng , Stéphane Junca , Mathias Legrand

11th World Congress on Computational Mechanics (WCCM XI), Jul 2014, Barcelona, Spain

Communication dans un congrès hal-03186031v1
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Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws

Pierre Castelli , Stéphane Junca

14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson, Jun 2012, Padoue, Italy. pp.709-716

Communication dans un congrès hal-00785529v1
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Blow-up or not blow-up at the hyperbolic boundary for a chemistry model?

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

Hyp 2012, 2012, Padova, Italy

Communication dans un congrès hal-03175517v1

Interaction of elastic waves with contact nonlinearities

Stéphane Junca , Bruno Lombard

Workshop du GdR 2501, Mar 2012, Nice, France

Communication dans un congrès hal-01310438v1

Interaction of elastic waves with contact nonlinearities

Stéphane Junca , Bruno Lombard

7th Conference of the GDRE-US 2501, May 2012, Oléron, France

Communication dans un congrès hal-01310449v1

Scattering of periodic elastic waves by nonlinear cracks

Stéphane Junca , Bruno Lombard

10th International Conference on Mathematical and Numerical Aspects of Waves WAVES 2011, Jul 2011, Vancouver, Canada. pp.645-648

Communication dans un congrès hal-01310379v1
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Des lemmes de moyenne avec un terme de force dans l’équation de transport

Florent Berthelin , Stéphane Junca

Seminaire: Equations aux Dérivées Partielles. Centre de Mathématiques Laurent Schwartz. Ecole Polytechnique. 2009–2010, Exp. No. XV, 14 pp., 2010, Palaiseau, France

Communication dans un congrès hal-02282572v1
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Quelques résultats mathématiques sur un système hyperbolique modélisant la chromatographie en phase gazeuse avec prise en compte de l’effet de sorption

Christian Bourdarias , Marguerite Gisclon , Stéphane Junca

SMAI 2009, May 2009, La Colle sur Loup, France

Communication dans un congrès hal-02301936v1
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Asymptotic Expansions of Vibrations with Small Unilateral Contact

Stéphane Junca , Bernard Rousselet

Ultrasonic Wave Propagation in Non Homogeneous Media, Jun 2008, Anglet, France. pp.173-182

Communication dans un congrès hal-02444688v1
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Oscillating waves for nonlinear conservation laws

Stéphane Junca

Analysis of PDEs [math.AP]. Université Nice Sophia Antipolis, 2013

HDR tel-00845827v1