Behaviour at Time t=0 of the Solutions of Semi-Linear Evolution Equations.

Abstract

We investigate the regularity at time t = 0 of the solutions of linear and semi-linear evolution equations (including the Stokes and Navier-Stokes equations). Necessary and sufficient conditions on the data, for an arbitrary order of regularity are given (the classical 'compatibility conditions'). In the case of the Stokes and Navier-Stokes equations the compatibility conditions which we find are global conditions on the data. The presentation given here seems to improve and generalize the known results even in the simplest case of linear evolution equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA096646

Entities

People

  • R. Temam

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Boundaries
  • Boundary Value Problems
  • Continents
  • Differential Equations
  • Equations
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • North Carolina
  • Personal Information Managers
  • Perturbations
  • Real Variables
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)