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Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains

In: Applied Nonlinear Analysis

Author

Listed:
  • Sarka Matušů-Nečasová
  • Adélia Sequeira
  • Juha Hans Videman

Abstract

This article is concerned with the steady motion of a compressible viscoelastic non-Newtonian fluid of Maxwell type around a three-dimensional rigid body. Results on existence, uniqueness and asymptotic behaviour of the solution are obtained for small data. The method of proof is based on an appropriate decomposition of the original nonlinear set of equations into auxiliary problems (Neumann problem for the Laplacian, Stokes problem and two transport equations) and on a suitable fixed point argument. The asymptotic decay of the solution, as regards the velocity and pressure, is defined by the linearized part, i.e. by the asymptotic behaviour of the fundamental solution of the Stokes system.

Suggested Citation

  • Sarka Matušů-Nečasová & Adélia Sequeira & Juha Hans Videman, 2002. "Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains," Springer Books, in: Adélia Sequeira & Hugo Beirão da Veiga & Juha Hans Videman (ed.), Applied Nonlinear Analysis, pages 373-390, Springer.
    • Handle: RePEc:spr:sprchp:978-0-306-47096-7_25
    DOI: 10.1007/0-306-47096-9_25
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