52 citations
- Centre de Recherche en Mathématiques de la DécisionFR2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Laboratoire Jacques-Louis LionsFR2 papers
- Sorbonne UniversitéFR2 papers
- Centre d'Études et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'AménagementFR1 paper
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Institut national de recherche en sciences et technologies du numériqueFR1 paper
- Laboratoire Analyse, Géométrie et ApplicationsFR1 paper
- Sorbonne Paris CitéFR1 paper
- Université Paris CitéFR1 paper
- Université Paris Dauphine-PSLFR1 paper
- Université Paris DiderotFR1 paper
4 papers
Optimization of Bathymetry for Long Waves with Small Amplitude
Pierre-Henri Cocquet, Sebastián Riffo, Julien Salomon
This paper deals with bathymetry-oriented optimization in the case of long waves with small amplitude. Under these two assumptions, the free-surface incompressible Navier-Stokes sy…
New effective pressure and existence of global strong solution for compressible Navier-Stokes equations with general viscosity coefficient in one dimension
Cosmin Burtea, Boris Haspot
In this paper we prove the existence of global strong solution for the Navier-Stokes equations with general degenerate viscosity coefficients. The cornerstone of the proof is the i…
Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie +1
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are…
Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces
Julien Guillod, Vladimír Šverák
We consider the Cauchy problem for the incompressible Navier-Stokes equations in for a one-parameter family of explicit scale-invariant axi-symmetric initial data, w…