Stability of solutions of the Navier-Stokes equations backward in time

DOI10.1007/BF00251456zbMath0658.76028OpenAlexW2057596528MaRDI QIDQ1111853

Giovanni Paolo Galdi, Brian Straughan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00251456

zbMATH Keywords

Navier- Stokes equationsstability of solutionsweighted logarithmic convexity argument

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (8)

Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time ⋮ Electrorheological fluids: ill posedness of uniqueness backward in time ⋮ Continuous dependence results for solutions of the Navier-Stokes equations backward in time ⋮ Stabilization estimates for the Brinkman-Forchheimer-Kelvin-Voigt equation backward in time ⋮ Some new properties of a suitable weak solution to the Navier-Stokes equations ⋮ Continuous dependence on the heat supply for the Boussinesq equations with a cubic density law ⋮ Some remarks on ill-posed problems for viscous fluids ⋮ On unique continuation for Navier-Stokes equations

Cites Work

• Local estimates and stability of viscous flows in an exterior domain
• Backward uniqueness and unique continuation for solutions to the Navier- Stokes equations on an exterior domain
• Weighted energy methods in fluid dynamics and elasticity
• A uniqueness theorem for viscous fluid motions in exterior domains
• Uniqueness and continuous dependence theorem for the conduction-diffusion solution to the Boussinesq equations on an exterior domain
• On the uniqueness of viscous flows
• Unique continuation for parabolic differential equations and inequalities
• On the stability of solutions of Navier-Stokes equations backward in time
• Sur l'unicité retrograde des équations paraboliques et quelques questions voisines
• Uniqueness and continuous dependence criteriafor the Navier-Stokes equations
• Some backward uniqueness results
• Thermodynamics and stability of fluids of third grade
• 14.—Global Non-existence of Solutions to Ladyzhenskaya's Variants of the Navier-Stokes Equations Backward in Time
• Some Continuous Dependence Theorems for Viscous Fluid Motions
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