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Didier Bresch

Researcher at University of Savoy

Publications -  128
Citations -  3175

Didier Bresch is an academic researcher from University of Savoy. The author has contributed to research in topics: Shallow water equations & Navier–Stokes equations. The author has an hindex of 29, co-authored 124 publications receiving 2718 citations. Previous affiliations of Didier Bresch include Centre national de la recherche scientifique & French Institute for Research in Computer Science and Automation.

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On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids

TL;DR: Bresch et al. as discussed by the authors investigated the global in time existence of sequences of weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids.
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On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models

TL;DR: In this paper, Bresch and Desjardins provided the global existence results of weak solutions for the barotropic Navier-Stokes equations and for compressible Navier Stokes equations with heat conduction using a particular cold pressure term close to vacuum.
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A new Savage-Hutter type model for submarine avalanches and generated tsunami

TL;DR: A new two-layer model of Savage-Hutter type to study submarine avalanches is presented, it is proved that the model verifies an entropy inequality, preserves water at rest for a sediment layer and their solutions can be seen as particular solutions of incompressible Euler equations under hydrostatic assumptions.
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Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

TL;DR: In this article, the authors prove global existence of appropriate weak solutions for the compressible Navier-Stokes equations for more general stress tensors than those covered by P. Lions and E. Feireisl's theory.
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On compressible Navier-Stokes equations with density dependent viscosities in bounded domains

TL;DR: In this paper, the existence of global weak solutions for both classical Dirichlet and Navier boundary conditions on the velocity, under appropriate constraints on the initial density profile and domain curvature, is shown.