Degenerate lake equations: classical solutions and vanishing viscosity limit
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Publication:5061377
DOI10.1088/1361-6544/aca865OpenAlexW3211383997MaRDI QIDQ5061377
Christophe Lacave, Bilal Al Taki
Publication date: 12 January 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05041
Viscous-inviscid interaction (76D09) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Singular elliptic equations (35J75)
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Cites Work
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- Viscosity effect on the degenerate lake equations
- Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions
- Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit
- Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
- The Wiener test for degenerate elliptic equations
- Mathematical theory of incompressible nonviscous fluids
- Elliptic partial differential equations of second order
- Global well-posedness for the lake equations
- Topography influence on the lake equations in bounded domains
- Lake equations with an evanescent or emergent island
- Vortex motion for the lake equations
- Stability and instability of Navier boundary layers.
- A shallow water model with eddy viscosity for basins with varying bottom topography
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations
- Estimates de schauder et regularite holderienne pour une classe de probleams aux limites singuliers
- 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 $M$
- The Vortex Method for Two-Dimensional Ideal Flows in Exterior 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
- Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions
- Non-stationary flow of an ideal incompressible liquid
- Weighted Norm Inequalities for the Hardy Maximal Function
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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