Viscosity effect on the degenerate lake equations
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Publication:343016
DOI10.1016/j.na.2016.09.017zbMath1353.35221OpenAlexW2537470713MaRDI QIDQ343016
Publication date: 18 November 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2016.09.017
Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)
Related Items (2)
Degenerate lake equations: classical solutions and vanishing viscosity limit ⋮ On the rigid-lid approximation of shallow water Bingham
Cites Work
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- Existence of solutions for models of shallow water in a basin with a degenerate varying bottom
- Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
- On compressible Navier-Stokes equations with density dependent viscosities in bounded domains
- Mathematical justification of a shallow water model
- The stationary Navier-Stokes equations in weighted Bessel-potential spaces
- Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
- The Stokes operator in weighted \(L^q\)-spaces. I: Weighted estimates for the Stokes resolvent problem in a half space
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- Nonlinear potential theory and weighted Sobolev spaces
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Global well-posedness for the lake equations
- Topography influence on the lake equations in bounded domains
- The Stokes operator in weighted \(L^q\)-spaces. II: Weighted resolvent estimates and maximal \(L^p\)-regularity
- A shallow water model with eddy viscosity for basins with varying bottom topography
- Mathematical derivation of viscous shallow-water equations with zero surface tension
- On the Shallow Water Equations at Low Reynolds Number
- Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations
- Weighted Sobolev spaces and embedding theorems
- Vorticity and the mathematical theory of incompressible fluid flow
- The local regularity of solutions of degenerate elliptic equations
- On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
- Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ on $M$
- Coercive inequalities on weighted Sobolev spaces
- ANALYSIS OF SOME SHALLOW WATER PROBLEMS WITH RIGID-LID HYPOTHESIS
- Weighted Sobolev Interpolation Inequalities on Certain Domains
- An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit
- On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
- Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
- Weighted Norm Inequalities for the Hardy Maximal Function
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