An evolution infinity Laplace equation modelling dynamic elasto-plastic torsion

We consider in this paper a parabolic partial differential equation involving the infinity Laplace operator and a Leray–Lions operator with no coercitive assumption. We prove the existence and uniqueness of the corresponding approached problem and we show that at the limit the solution solves the pa...

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Veröffentlicht in:Analysis and mathematical physics 2017-12, Vol.7 (4), p.437-447
1. Verfasser: Messelmi, Farid
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider in this paper a parabolic partial differential equation involving the infinity Laplace operator and a Leray–Lions operator with no coercitive assumption. We prove the existence and uniqueness of the corresponding approached problem and we show that at the limit the solution solves the parabolic variational inequality arising in the elasto-plastic torsion problem.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-016-0151-7