A uniqueness theorem for viscous fluid motions in exterior domains

DOI10.1007/BF00282341zbMath0612.76028MaRDI QIDQ1088524

Paolo Maremonti, Giovanni Paolo Galdi

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsPoisson's equationuniqueness theoremexterior domainsweighted energy equalityclassical bounded solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (14)

A priori estimates in terms of the maximum norm for the solutions of the Navier-Stokes equations ⋮ Stability of solutions of the Navier-Stokes equations backward in time ⋮ Maximum norm estimates of the solution of the Navier-Stokes equations in the halfspace with bounded initial data ⋮ A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion ⋮ On the Navier-Stokes problem in exterior domains with non decaying initial data ⋮ Non-decaying solutions to the Navier Stokes equations in exterior domains ⋮ A uniqueness theorem in incompressible viscous fluid dynamics ⋮ Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains ⋮ A uniqueness result for the motion of micropolar solid-fluid mixtures in unbounded domain ⋮ On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations ⋮ On the uniqueness of bounded very weak solutions to the Navier–Stokes Cauchy problem ⋮ Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain ⋮ Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains ⋮ Stokes and Navier-Stokes problems in a half-space: the existence and uniqueness of solutions a priori nonconvergent to a limit at infinity

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