On the Correctness of a Problem with Initial Conditions for a Partial Differential Equation.

Abstract

Considered is the correctness of the statement of an extremely simple problem for a model equation of meteorology used in the qualitative study of a number of aspects, particularly, the matching of the wind to the geostrophic. The uniqueness is proved by the energy integral method. The proof of the existence of the solution and of the continuous dependence on the initial data and the left side is given in the metric of functional spaces of S. L. Sobolev by means of Fourier transformation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 02, 1971
Accession Number
AD0735507

Entities

People

  • G. V. Demidov

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Convolution Integrals
  • Differential Equations
  • Equations
  • Fourier Transformation
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Meteorology
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space