Some properties of solutions to the equations of hydrodynamics in domains with movable boundary
Abstract
Solutions of the nonlinear and also the linearized unsteady NavierStokes equations in domains having a timevarying boundary are considered. Estimates are obtained, characterizing damping of solutions of boundary value problems as time increases without bound. Theorems are given on the behavior of solutions in the limit as time tends to zero and negative infinity as functions of the change of domain boundary.
 Publication:

Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
 Pub Date:
 October 1977
 Bibcode:
 1977MVSMM........5O
 Keywords:

 Boundary Value Problems;
 Flow Equations;
 Hydrodynamics;
 NavierStokes Equation;
 Integral Equations;
 Linear Equations;
 Nonlinear Equations;
 Uniqueness Theorem;
 Vector Analysis;
 Fluid Mechanics and Heat Transfer