Some remarks on ill-posed problems for viscous fluids

DOI10.1016/0020-7225(92)90145-7zbMath0764.76010OpenAlexW2001282848MaRDI QIDQ1202971

Lawrence E. Payne

Publication date: 20 April 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(92)90145-7

zbMATH Keywords

logarithmic convexity argumentcontinuous dependence on the final data

Mathematics Subject Classification ID

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

Related Items

Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time, Continuous dependence results for solutions of the Navier-Stokes equations backward in time, Computing ill-posed time-reversed 2D Navier–Stokes equations, using a stabilized explicit finite difference scheme marching backward in time, Stabilized leapfrog scheme run backward in time, and the explicit O(Δ t)² stepwise computation of ill-posed time-reversed 2D Navier–Stokes equations, Data assimilation in 2D viscous Burgers equation using a stabilized explicit finite difference scheme run backward in time

Cites Work

• 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
• On the stability of solutions of Navier-Stokes equations backward in time
• Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
• Continuous dependence on geometry for the backward heat equation
• EFFECTS OF ERRORS IN THE INITIAL-TIME GEOMETRY ON THE SOLUTION OF THE HEAT EQUATION IN AN EXTERIOR DOMAIN
• Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item