Continuous dependence results for solutions of the Navier-Stokes equations backward in time

DOI10.1016/0362-546X(94)90254-2zbMath0814.35144MaRDI QIDQ4312098

Lawrence E. Payne, Karen A. Ames

Publication date: 22 June 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

body forceinterior domainboundary datalinearized Stokes equationscontinuous dependence on the viscosity

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• Backward uniqueness and unique continuation for solutions to the Navier- Stokes equations on an exterior domain
• Comparison of viscous flows backward in time with small data
• Stability of solutions of the Navier-Stokes equations backward in time
• Some remarks on ill-posed problems for viscous fluids
• On the stability of solutions of Navier-Stokes equations backward in time
• Decay Estimates in Steady Pipe Flow
• Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time
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