On the stability of solutions of Navier-Stokes equations backward in time
From MaRDI portal
Publication:2528024
DOI10.1007/BF00283897zbMath0159.14201OpenAlexW2040472459MaRDI QIDQ2528024
Lawrence E. Payne, Robin J. Knops
Publication date: 1968
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00283897
Related Items (30)
The impossibility of complete decay of a symmetric toroidal field in a compressible dynamo ⋮ Continuous dependence on spatial geometry for solutions of the Navier-Stokes equations backward in time ⋮ Stability of solutions of the Navier-Stokes equations backward in time ⋮ Continuous dependence on the viscostiy for the oberbeck-boussinesq equations ⋮ Continuous dependence results for solutions of the Navier-Stokes equations backward in time ⋮ On the continuous dependence of solutions to nonlinear problems in Hilbert space ⋮ Order of convergence estimates on the interaction term for a micropolar fluid ⋮ Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements ⋮ A time-reversal lattice Boltzmann method ⋮ Logarithmic Convexity, First Order Differential Inequalities and Some Applications ⋮ 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 ⋮ Reconstructing the past from imprecise knowledge of the present: Effective non‐uniqueness in solving parabolic equations backward in time ⋮ Some remarks on ill-posed problems for viscous fluids ⋮ Uniqueness and continuous dependence of solutions to the incompressible micropolar flows forward and backward in time ⋮ 14.—Global Non-existence of Solutions to Ladyzhenskaya's Variants of the Navier-Stokes Equations Backward in Time ⋮ Computing small solutions of Burgers' equation backwards in time ⋮ 14.—Global Non-existence of Solutions to Ladyzhenskaya's Variants of the Navier-Stokes Equations Backward in Time ⋮ Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities ⋮ Stabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systems ⋮ On growth properties of solutions of the Saffman dusty gas model ⋮ Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers' equation ⋮ On uniqueness and continuous dependence for a linear micropolar fluid ⋮ Computing ill-posed time-reversed 2D Navier–Stokes equations, using a stabilized explicit finite difference scheme marching backward in time ⋮ On the dependence of solutions to a dusty gas model on initial and boundary data backward in time ⋮ On the stability of a linear dipolar fluid ⋮ On the embedding of the attractor generated by Navier-Stokes equations into finite dimensional spaces ⋮ 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 ⋮ Penetrative convection in a porous medium with internal heat sources
Cites Work
This page was built for publication: On the stability of solutions of Navier-Stokes equations backward in time