pascal noble

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Well-posedness and stability analysis of a landscape evolution model

Julie Binard , Pierre Degond , Pascal Noble
Journal of Nonlinear Science, 2024, 34, pp.20. ⟨10.1007/s00332-023-09997-9⟩
Article dans une revue hal-03856550 v3
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Discrete transparent boundary conditions for the two-dimensional leap-frog scheme

Christophe Besse , Jean-François Coulombel , Pascal Noble
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55, pp.S535-S571. ⟨10.1051/m2an/2020052⟩
Article dans une revue hal-02280886 v1
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Consistent section-averaged shallow water equations with bottom friction

Victor Michel-Dansac , Pascal Noble , Jean-Paul Vila
European Journal of Mechanics - B/Fluids, 2021, 86, pp.123-149. ⟨10.1016/j.euromechflu.2020.12.005⟩
Article dans une revue hal-01962186 v3
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Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density

Didier Bresch , Nicolas Cellier , Frédéric Couderc , Marguerite Gisclon , Pascal Noble et al.
Journal of Computational Physics, 2020, ⟨10.1016/j.jcp.2020.109670⟩
Article dans une revue hal-02382372 v2

Lubrication and shallow-water systems, Bernis-Friedman and BD entropies

D Bresch , Khawla Msheik , Pascal Noble , Xi Lin , Mathieu Colin
ESAIM: Proceedings and Surveys, 2020
Article dans une revue hal-03513480 v1
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Spectral stability of inviscid roll-waves

Mathew Johnson , Pascal Noble , L Miguel Rodrigues , Zhao Yang , Kevin Zumbrun
Communications in Mathematical Physics, 2019, 367 (1), pp.265-316. ⟨10.1007/s00220-018-3277-7⟩
Article dans une revue hal-01870739 v1
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BD Entropy and Bernis-Friedman Entropy

Didier Bresch , Mathieu Colin , Khawla Msheik , Pascal Noble , Xi Song
Comptes Rendus. Mathématique, 2018, 357 (1), pp.1-6. ⟨10.1016/j.crma.2018.11.009⟩
Article dans une revue hal-01911965 v2
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Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation

Christophe Besse , Benoît Mésognon-Gireau , Pascal Noble
Numerische Mathematik, 2018, ⟨10.1007/s00211-017-0943-1⟩
Article dans une revue hal-01305360 v1
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Discrete transparent boundary conditions for the mixed KDV-BBM equation

Christophe Besse , Pascal Noble , David Sanchez
Journal of Computational Physics, 2017, 345, pp.484-509. ⟨10.1016/j.jcp.2017.05.031⟩
Article dans une revue hal-01373388 v1
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Stability of Viscous St. Venant Roll-Waves: From Onset to the Infinite-Froude Number Limit

Blake Barker , Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Journal of Nonlinear Science, 2017, 27 (1), pp.285--342
Article dans une revue hal-01135510 v1
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Note on the stability of viscous roll waves

Blake Barker , Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Comptes Rendus. Mécanique, 2017, 345 (2), pp.125 - 129. ⟨10.1016/j.crme.2016.11.001⟩
Article dans une revue hal-01503497 v1
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Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications

Didier Bresch , Pascal Noble , Jean-Paul Vila
ESAIM: Proceedings and Surveys, 2017, 58, pp.40 - 57. ⟨10.1051/proc/201758040⟩
Article dans une revue hal-01870737 v1
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2D Versus 1D Models for Shallow Water Equations

Jean-Paul Vila , Florent Chazel , Pascal Noble
Procedia IUTAM, 2017, 20, pp.167 - 174. ⟨10.1016/j.piutam.2017.03.023⟩
Article dans une revue hal-01870744 v1
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A generalization of the quantum Bohm identity: Hyperbolic CFL condition for Euler–Korteweg equations

Didier Bresch , Frédéric Couderc , Pascal Noble , Jean-Paul Vila
Comptes Rendus. Mathématique, 2015, ⟨10.1016/j.crma.2015.09.020⟩
Article dans une revue hal-01870745 v1
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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Transactions of the American Mathematical Society, 2015, 367, pp.2079-2135
Article dans une revue hal-00943738 v1
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Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations

Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Inventiones Mathematicae, 2014, 197 (1), pp.115-213
Article dans une revue hal-00943740 v1
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Stability Theory for Difference Approximations of Euler--Korteweg Equations and Application to Thin Film Flows

Pascal Noble , Jean-Paul Vila
SIAM Journal on Numerical Analysis, 2014, 52 (6), pp.2770-2791. ⟨10.1137/130918009⟩
Article dans une revue hal-01592282 v1
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Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids

Sylvie Benzoni-Gavage , Pascal Noble , Luis Miguel Miguel Rodrigues
Journal of Nonlinear Science, 2014, 24 (4), pp.58
Article dans une revue hal-00804222 v2
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Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation

Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Archive for Rational Mechanics and Analysis, 2013, 2, pp.669-692
Article dans une revue hal-00943578 v1
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Whitham's Modulation Equations and Stability of Periodic Wave Solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky Equation

Pascal Noble , Luis Miguel Miguel Rodrigues
Indiana University Mathematics Journal, 2013, 62 (3), pp.753-783
Article dans une revue hal-00943713 v1
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Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation

Blake Barker , Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Physica D: Nonlinear Phenomena, 2013, 258, pp.11-46
Article dans une revue hal-00943581 v1
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Thin power law film flow down an inclined plane: consistent shallow water models and stability under large scale perturbations

Pascal Noble , Jean-Paul Vila
Journal of Fluid Mechanics, 2013
Article dans une revue hal-01870741 v1
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Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability

Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Archive for Rational Mechanics and Analysis, 2013, 2, pp.693-715
Article dans une revue hal-00943577 v1
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Stability of periodic Kuramoto-Sivashinsky waves

Blake Barker , Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Applied Mathematics Letters, 2012, 25 (5), pp.824-829
Article dans une revue hal-00943583 v1

De la goutte d'eau aux tsunamis : des films liquides "minces" partout

Pascal Noble
Images des mathématiques, 2011, http://images.math.cnrs.fr/De-la-goutte-d-eau-aux-tsunamis.html
Article dans une revue hal-00606215 v1
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Mathematical derivation of viscous shallow-water equations with zero surface tension

Didier Bresch , Pascal Noble
Indiana University Mathematics Journal, 2011
Article dans une revue hal-01870743 v1

Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems

Guillaume James , Pascal Noble , Yannick Sire
Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2009, 26 (4), pp.1237-1264. ⟨10.1016/j.anihpc.2008.10.002⟩
Article dans une revue hal-00390005 v1

Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems

Guillaume James , Pascal Noble
Journal of Nonlinear Science, 2008, 18 (4), pp.433-461. ⟨10.1007/s00332-008-9018-x⟩
Article dans une revue istex hal-00390025 v1

Mathematical Justification of a Shallow Water Model

Didier Bresch , Pascal Noble
Methods and Applications of Analysis, 2007, pp.87--118
Article dans une revue hal-00385922 v1

Lubrication theory and viscous shallow-water equations

Mathieu Colin , Didier Bresch , Pascal Noble , Xi Lin
Recent Advances in PDEs: Analysis, Numerics and Control: In Honor of Prof. Fernández-Cara's 60th Birthday, Springer, 2018, 978-3-319-97612-9
Chapitre d'ouvrage hal-03513488 v1
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Stability of periodic waves in Hamiltonian PDEs

Sylvie Benzoni-Gavage , Pascal Noble , Luis Miguel Miguel Rodrigues
Journées Équations aux Dérivées Partielles, David Lannes, Jun 2013, Biarritz, France. pp.22
Communication dans un congrès hal-00915227 v1
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Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law

Blake Barker , Mathew A. Johnson , Pascal Noble , Luis Miguel Miguel Rodrigues , Kevin Zumbrun
Journées Équations aux dérivées partielles, 2010, Port-d'Albret, France. Exposé No. 3
Communication dans un congrès hal-00943751 v1