Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time

DOI10.1016/0362-546X(93)90062-WzbMath0819.35110MaRDI QIDQ4289321

Lawrence E. Payne

Publication date: 28 April 1994

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

zbMATH Keywords

dependence on spatial geometry

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30)

Related Items

Continuous dependence on initial-time and spatial geometry in generalized heat conduction, Continuous dependence results for solutions of the Navier-Stokes equations backward in time, Order of convergence estimates on the interaction term for a micropolar fluid, Continuous dependence results for initially prestressed thermoelastic bodies, Some remarks on ill-posed problems for viscous fluids

Cites Work

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• Backward uniqueness and unique continuation for solutions to the Navier- Stokes equations on an exterior domain
• 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
• Continuous dependence on geometry for the backward heat equation