Stéphane Junca

Identifiants chercheurs

IdHAL :

stephane-junca

ORCID :

0000-0003-0445-255X

IdRef :

172096103

VIAF :

311837968

Présentation

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

Publications

Article dans une revue (47)

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
On convex combinations of grazing linear modes for 2-degree-of-freedom vibro-impact systems with 1:2 resonance Huong Le Thi,Stéphane Junca HNUE Journal of Science: Natural Sciences, In press, 71 (1) Article dans une revue hal-05504162v1
OLEINIK INEQUALITY FOR SCALAR AUTONOMOUS BALANCE LAWS Rida Harb,Stéphane Junca Journal of Hyperbolic Differential Equations, In press Article dans une revue hal-05145112v3
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
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
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
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
Entropy solutions in BV&lt;sup&gt;s&lt;/sup&gt; 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

Communication dans un congrès (24)

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
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
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
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
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
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
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
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
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
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
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
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
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

Pré-publication, Document de travail (7)

One-sided Lipschitz inequality for scalar balance laws with time-dependent source Rida Harb,Stéphane Junca 2026 Pré-publication, Document de travail (working paper) hal-05462127v1
Weighted residual solution methods Mathias Legrand,Stéphane Junca 2025 Pré-publication, Document de travail hal-05155148v1
Computing the Elo Stationary Distribution for Two Players David Arturo Man Castillo,Stéphane Junca 2024 Pré-publication, Document de travail hal-04675789v1
Efficient algorithms computing p-variation Aimen Daoudi,Stéphane Junca 2024 Pré-publication, Document de travail hal-04393579v1
First Return Time near grazing linear modes of discrete vibro-impact systems Huong Le Thi,Stéphane Junca,Mathias Legrand 2023 Pré-publication, Document de travail hal-04215813v1
Fractional BV solutions for $2 \times 2$ systems of conservation laws with a genuinely nonlinear field and a linearly degenerate field Boris Haspot,Stéphane Junca 2022 Pré-publication, Document de travail (working paper) hal-02532444v2
Contractions to update Elo ratings for round-robin tournaments Stéphane Junca 2021 Pré-publication, Document de travail hal-03286591v1

Rapport (5)

Computing the Invariant Measure for a Two-Player Elo Rating System David Arturo Man Castillo,Stéphane Junca LJAD, Université Côte d'Azur, Nice, France. 2024 Rapport hal-04646718v1
Efficiency of some algorithms to compute fractal total variation Hanwen Li,Tom Elbaz,Stéphane Junca Université Côte d'Azur. 2023 Rapport hal-04025611v1
On the convergence of the Elo rating system for a Bernoulli model and round-robin tournaments Adrien Krifa,Florian Spinelli,Stéphane Junca [Research Report] Université Côte D’Azur. 2021 Rapport (rapport de recherche) hal-03286065v1
Distances relatives sur $]0, +∞[$ Stéphane Junca [Rapport de recherche] LJAD, Université de Nice; IUFM de l'Académie de Nice. 2007 Rapport (rapport de recherche) hal-01312356v1
Relaxation du système d'Euler isotherme avec amortissement vers l'équation de la chaleur Stéphane Junca [Rapport de recherche] LJAD, Université de Nice. 1996 Rapport (rapport de recherche) hal-02301933v1

HDR (1)

Oscillating waves for nonlinear conservation laws Stéphane Junca Analysis of PDEs [math.AP]. Université Nice Sophia Antipolis, 2013 HDR tel-00845827v1