On existence and uniqueness of a global classical solution of the two- dimensional Euler equation in a time dependent domain

DOI10.1016/0022-0396(85)90081-6zbMath0522.35023OpenAlexW2036002905MaRDI QIDQ1055970

Hideo Kozono

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90081-6

zbMATH Keywords

existenceinitial-boundary value problemuniquenessRiemannian geometryglobal classical solutiontwo-dimensional Euler equationtime dependent domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items

Existence of weak solutions for a two-dimensional fluid-rigid body system ⋮ TWO-DIMENSIONAL INCOMPRESSIBLE IDEAL FLOWS IN A NONCYLINDRICAL MATERIAL DOMAIN ⋮ Preface ⋮ Smooth solutions for motion of a rigid body of general form in an incompressible perfect fluid ⋮ Two-dimensional Euler equations in a time dependent domain ⋮ Dynamics of two-dimensional time-periodic Euler fluid flows

Cites Work

• Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain
• Hadamard's variation of the Green kernels of heat equations and their traces. I
• Linear and quasilinear elliptic equations
• On classical solutions of the two-dimensional non-stationary Euler equation
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The quasilinear dirichlet problem with decreased regularity at the boundary
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