Global well-posedness for the viscous shallow water system with Korteweg type
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Publication:4559422
DOI10.1080/00036811.2017.1395861zbMath1405.35163OpenAlexW2767158024MaRDI QIDQ4559422
Publication date: 3 December 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1395861
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Cites Work
- A Lagrangian approach for the compressible Navier-Stokes equations
- Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
- Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
- Global existence and well-posedness of the 2D viscous shallow water system in Besov spaces
- Cauchy problem for viscous shallow water equations with surface tension
- Cauchy problem for viscous rotating shallow water equations
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Global existence for the Cauchy problem for the viscous shallow water equations
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- Global existence for the Dirichlet problem for the viscous shallow water equations
- The Cauchy problem for viscous shallow water equations
- Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces
- Fourier Analysis and Nonlinear Partial Differential Equations
- CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH A TERM OF CAPILLARITY
- On the Well-Posedness for the Viscous Shallow Water Equations
- Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
- Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters
- Well-posedness for the viscous rotating shallow water equations with friction terms
- Existence of solutions for compressible fluid models of Korteweg type
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