JournalszaaVol. 14, No. 3pp. 541–574

Degenerate Parabolic Differential Equations of Fourth Order and a Plasticity Model with Non-Local Hardening

  • Günther Grün

    Universität Erlangen-Nünberg, Germany
Degenerate Parabolic Differential Equations of Fourth Order and a Plasticity Model with Non-Local Hardening cover
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Abstract

By the means of energy estimates we prove existence and non-negativity results for degenerate parabolic partial differential equations of fourth order in arbitrary space dimensions. In addition, we present an elasto-viscoplastic model of Norton-Hoff type with isotropic, non-local hardening which takes the formation of dislocation patterns during plastic deformation into consideration. Finally, we give an existence result for this model.

Cite this article

Günther Grün, Degenerate Parabolic Differential Equations of Fourth Order and a Plasticity Model with Non-Local Hardening. Z. Anal. Anwend. 14 (1995), no. 3, pp. 541–574

DOI 10.4171/ZAA/639