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On a class of quasilinear Barenblatt equations

Caroline Bauzet , Jacques Giacomoni , Guy Vallet
Monografias de la Real Academia de Ciencias de Zaragoza, 2012, A special tribute to Professor Monique Madaune-Tort 38, pp.35-51
Article dans une revue hal-01309558v1
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A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force

Caroline Bauzet , Guy Vallet , Petra Wittbold
Journal of Hyperbolic Differential Equations, 2015, 12 (03), pp.501-533. ⟨10.1142/S0219891615500150⟩
Article dans une revue hal-01003069v1
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Time-splitting approximation of the Cauchy problem for a stochastic conservation law

Caroline Bauzet
Mathematics and Computers in Simulation, 2015, 118, pp.73-86. ⟨10.1016/j.matcom.2014.11.012⟩
Article dans une revue hal-01309580v1

WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION

Caroline Bauzet , V Castel , J Charrier
WONAPDE 2019, Jan 2019, Concepcion, Chile
Communication dans un congrès hal-03040643v1

The Cauchy Problem for a conservation law with a multiplicative stochastic perturbation

Caroline Bauzet , Guy Vallet , P. Wittbold
Twelveth International Conference Zaragoza-Pau on Applied Mathematics and Statistics, Jaca, 17-19 September 2012., 2012, Unknown
Communication dans un congrès hal-00868326v1
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A global existence and uniqueness result for a stochastic Allen-Cahn equation with constraint

Caroline Bauzet , Elena Bonetti , Giovanna Bonfanti , Frédéric Lebon , Guy Vallet
Mathematical Methods in the Applied Sciences, 2017, 40 (14), pp.5241-5261. ⟨10.1002/mma.4383⟩
Article dans une revue hal-01694069v1
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Well-posedness result for a system of random heat equation coupled with a multiplicative stochastic Barenblatt equation

Caroline Bauzet , Frédéric Lebon , Ali Maitlo , Aleksandra Zimmermann
Stochastic Analysis and Applications, In press
Article dans une revue hal-02361179v1

WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION

Caroline Bauzet , Vincent Castel , Julia Charrier , Thierry Gallouët
ENUMATH2019, Sep 2019, Egmond aan Zee, Netherlands
Communication dans un congrès hal-03040656v1
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Convergence of a finite-volume scheme for a heat equation with a multiplicative stochastic force

Caroline Bauzet , Flore Nabet
Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02442422v2

The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation

Caroline Bauzet , Guy Vallet , Petra Wittbold
Journal of Functional Analysis, 2014, ⟨10.1016/j.jfa.2013.06.022⟩
Article dans une revue hal-01309556v1

Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation

Frédéric Lebon , Caroline Bauzet , Asghar Ali Maitlo , Aleksandra Zimmermann
Stochastic Analysis and Applications, 2021, 39 (6), pp.1095-1129. ⟨10.1080/07362994.2021.1871626⟩
Article dans une revue hal-03546043v1

On stochastic conservation laws.

Caroline Bauzet , Guy Vallet , P. Wittbold
Recent Trends in Differential Equations : Analysis and Discretisation Methods. Bielefeld October 31 - November 2, 2011., 2011, Unknown
Communication dans un congrès hal-00867632v1
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METHOD FOR SOLVING A STOCHASTIC CONSERVATION LAW

Caroline Bauzet
Twelfth International Conference Zaragoza-Pau on Mathematics, 39, Prensas de la Universidad de Zaragoza, pp.65-74, 2014, Monografías Matemáticas "García de Galdeano", 978-84-16028-35-1
Chapitre d'ouvrage hal-01309529v1
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Numerical approximation of stochastic conservation laws on bounded domains

Caroline Bauzet , Julia Charrier , Thierry Gallouët
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, ⟨10.1051/m2an/2016020⟩
Article dans une revue hal-01197259v1

On the modeling of non-linear imperfect interfaces including plasticity and stochastics effects

Caroline Bauzet , Giovanna Bonfanti , Serge Dumont , Frédéric Lebon
15th World Congress on Computational Mechanics (WCCM-XV) & 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII), Jul 2022, yokohama, Japan
Communication dans un congrès hal-03909625v1
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On a p(t,x)-Laplace evolution equation with a stochastic force

Caroline Bauzet , Guy Vallet , Petra Wittbold , Aleksandra Zimmermann
Stochastics and Partial Differential Equations: Analysis and Computations, 2013, 1 (3), pp.552-570. ⟨10.1007/s40072-013-0017-z⟩
Article dans une revue hal-01309575v1
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The Neumann problem for a Barenblatt equation with a multiplicative stochastic force and a nonlinear source term

Caroline Bauzet , Frédéric Lebon , Asghar Maitlo
Nonlinear Differential Equations and Applications, 2019, ⟨10.1007/s00030-019-0567-5⟩
Article dans une revue hal-01910747v1

On the equation of Barenblatt

Caroline Bauzet , N. Seam , Guy Vallet
Eleventh International Conference Zaragoza-Pau on Applied Mathematics and Statistics. 15-17 September 2010 Jaca Espagne, 2010, Unknown
Communication dans un congrès hal-00867619v1

On a time-splitting method for a scalar conservation law with a multiplicative stochastic perturbation and numerical experiments

Caroline Bauzet
Journal of Evolution Equations, 2014, 14, ⟨10.1007/s00028-013-0215-1⟩
Article dans une revue hal-01309578v1

Stochastic conservation laws.

Caroline Bauzet , Guy Vallet , P. Wittbold
MAMERN11 : 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources Saidia (Morocco), May 23-26, 2011 (minisymposium)., 2011, Unknown
Communication dans un congrès hal-00867633v1
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Existence and uniqueness result for an hyperbolic scalar conservation law with a stochastic force using a finite volume approximation

Caroline Bauzet , Vincent Castel , Julia Charrier
Journal of Hyperbolic Differential Equations, 2020, 17 (2), pp.213-294
Article dans une revue hal-02997873v1
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On abstract Barenblatt equations

Caroline Bauzet , Guy Vallet
Nonlinear Differential Equations and Applications, 2011, 3 (4), pp.487-502. ⟨10.7153/dea-03-31⟩
Article dans une revue hal-01309490v1

On a stochastic model of damage and rupture

Caroline Bauzet , Frédéric Lebon , Elena Bonetti , Giovanna Bonfanti , Guy Vallet
Journées Analyse Appliquée Nice Toulon Marseille, May 2019, Porquerolles, France
Communication dans un congrès hal-03040677v1

THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION

Caroline Bauzet , Guy Vallet , Petra Wittbold
Journal of Hyperbolic Differential Equations, 2012, ⟨10.1142/S0219891612500221⟩
Article dans une revue hal-01309552v1

Existence, uniqueness of the solution and convergence of nite volume approximations for hyperbolic scalar conservation laws with multiplicative noise

Caroline Bauzet , Julia Charrier , Vincent Castel
2018
Pré-publication, Document de travail hal-01795496v1
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A Multi-Scale Model of Soft Imperfect Interface with Nonlocal Damage

Asghar Ali Maitlo , Frédéric Lebon , Caroline Bauzet
Journal of Multiscale Modelling, 2019, 10 (1), ⟨10.1142/S1756973718410019⟩
Article dans une revue hal-02335928v1
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Étude d'équations aux dérivées partielles stochastiques

Caroline Bauzet
Equations aux dérivées partielles [math.AP]. Université de Pau et des Pays de l'Adour, 2013. Français. ⟨NNT : 2013PAUU3007⟩
Thèse tel-00845337v1

Existence of solutions to a quasilinear pseudo-parabolic equation

Caroline Bauzet , Jacques Giacomoni , Guy Vallet
Real Academia Sciencas Saragoza (dédié à M. Madaune-Tort), 2012, A paraître
Article dans une revue hal-00868311v1
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Stochastic PDEs, finite-volume schemes and applications in mechanics

Caroline Bauzet
Mathematics [math]. Aix-Marseille Université, 2023
HDR tel-04357073v1
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Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation

Caroline Bauzet , Julia Charrier , Thierry Gallouët
Mathematics of Computation, 2016, ⟨10.1090/mcom/3084⟩
Article dans une revue hal-00958427v2