WIAS Preprint No. 70, (1993)

About loss of regularity and "blow up" of solutions for quasilinear parabolic systems.



Authors

  • Gajewski, Herbert
  • Jäger, Willi
  • Koshelev, Alexander

2010 Mathematics Subject Classification

  • 35B65 35D10 35K40 35K57

Keywords

  • Parabolic systems, weak solutions, loss of regularity, chemotaxis system, semiconductor equations, numerical evidence

DOI

10.20347/WIAS.PREPRINT.70

Abstract

Starting from sufficient conditions for regularity of weak solutions to quasilinear parabolic systems, uecessary conditions for loss of regularity are formulated. It is shown numerically that in some situations loss of regularity ("blow up") really happens accordingly to these conditions.

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