pascal noble

40
Documents

Publications

Publications

Reconstruction of fluid flow fields from data using Gaussian process regression with physics-informed kernels

Adrian Padilla-Segarra , Pascal Noble , Olivier Roustant , Eric Savin

Euromech Colloquium on Data-Driven Fluid Dynamics/2nd ERCOFTACWorkshop on Machine Learning for Fluid Dynamics, Apr 2025, Londres, United Kingdom

Communication dans un congrès hal-05455827v1
Deposit thumbnail

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-00915227v1
Deposit thumbnail

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-00943751v1
Deposit thumbnail

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-03856550v3
Deposit thumbnail

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-02280886v1
Deposit thumbnail

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-01962186v3

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-03513480v1
Deposit thumbnail

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-02382372v2
Deposit thumbnail

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-01870739v1
Deposit thumbnail

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-01305360v1
Deposit thumbnail

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-01911965v2
Deposit thumbnail

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-01135510v1
Deposit thumbnail

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-01870737v1
Deposit thumbnail

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-01503497v1
Deposit thumbnail

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-01373388v1
Deposit thumbnail

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-01870744v1
Deposit thumbnail

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-00943738v1
Deposit thumbnail

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-01870745v1
Deposit thumbnail

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-01592282v1
Deposit thumbnail

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-00804222v2
Deposit thumbnail

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-00943740v1
Deposit thumbnail

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-00943578v1
Deposit thumbnail

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-00943713v1
Deposit thumbnail

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-00943581v1
Deposit thumbnail

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-01870741v1
Deposit thumbnail

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-00943577v1
Deposit thumbnail

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-00943583v1

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-00606215v1
Deposit thumbnail

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-01870743v1

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-00390005v1

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-00390025v1

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-00385922v1

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-03513488v1