Navier­Stokes Equations with Nonhomogeneous Dirichlet Data

DOI10.2991/jnmp.2003.10.s1.1zbMath1362.35205OpenAlexW2171275640MaRDI QIDQ5346857

Herbert Amann

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.s1.1

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (24)

Initial and boundary values for \(L_\alpha^q(L^p)\) solution of the Navier-Stokes equations in the half-space ⋮ Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values ⋮ Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces ⋮ Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data ⋮ A DIFFUSIVE LOGISTIC EQUATION WITH MEMORY IN BESSEL POTENTIAL SPACES ⋮ The regularity of very weak solutions to magneto-hydrodynamics equations ⋮ Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence ⋮ Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality ⋮ Some properties of solutions of the Cauchy problem for evolution equations ⋮ Solvability of the initial-boundary value problem of the Navier-Stokes equations with rough data ⋮ Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data ⋮ Initial and boundary value problem of the unsteady Navier-Stokes system in the half-space with Hölder continuous boundary data ⋮ Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions ⋮ Initial-boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data ⋮ Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\) ⋮ Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density ⋮ Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in ℝ n ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ Boundary value problems of elliptic and parabolic type with boundary data of negative regularity ⋮ Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains ⋮ On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces ⋮ Very weak solutions to the Navier-Stokes system in general unbounded domains ⋮ Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the strong solvability of the Navier-Stokes equations
• Pseudo-differential boundary problems in L_p, spaces
• Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
• Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity \(L_p\) Sobolev spaces

This page was built for publication: Navier­Stokes Equations with Nonhomogeneous Dirichlet Data