Existence of a global weak solution for a 2D viscous bi-layer shallow water model
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Publication:1021952
DOI10.1016/j.nonrwa.2008.09.004zbMath1177.35147OpenAlexW1970690144MaRDI QIDQ1021952
Jean De Dieu Zabsonré, Gladys Narbona-Reina
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/handle/11441/32490
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
- On a bi-layer shallow water problem with Dirichlet boundary conditions.
- A multilayer Saint-Venant model: derivation and numerical validation
- Some diffusive capillary models of Korteweg type
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- Global weak solutions to a generic two-fluid model
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar.
- Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains
- On a bi-layer shallow-water problem
- On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results
- Existence theorem for the solution of a shallow water problem
- Derivation of a Bilayer Model for Shallow Water Equations with Viscosity. Numerical Validation
- On the Barotropic Compressible Navier–Stokes Equations
- On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
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