A well-posedness theorem for non-homogeneous inviscid fluids via a perturbation theorem
From MaRDI portal
Publication:1824094
DOI10.1016/0022-0396(89)90066-1zbMath0682.35012OpenAlexW1989509654MaRDI QIDQ1824094
Publication date: 1989
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(89)90066-1
First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Incompressible inviscid fluids (76B99)
Related Items
Kato's perturbation theory and well-posedness for the Euler equations in bounded domains ⋮ Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow ⋮ Data dependence in the mathematical theory of compressible inviscid fluids ⋮ On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains ⋮ A global existence result in Sobolev spaces for MHD system in the half-plane ⋮ A review on some contributions to perturbation theory, singular limits and well-posedness ⋮ On the equations of ideal incompressible magneto-hydrodynamics
Cites Work
- Nonlinear evolution equations and the Euler flow
- Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
- Semigroups of linear operators and applications to partial differential equations
- On the motion of non-homogeneous fluids in the presence of diffusion
- Kato's perturbation theory and well-posedness for the Euler equations in bounded domains
- On the solutions in the large of the two-dimensional flow of a nonviscous incompressible fluid
- On the Euler equations for nonhomogeneous fluids. II
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Lectures on elliptic partial differential equations. Reissued
- Linear evolution equations of hyperbolic type. II
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- A Concise Presentation of the Euler Equations of Hydrodynamics
- Existence of cω solution of the euler equation for non-homogeneous fluids
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item