LOCAL PERSISTENCE OF GEOMETRIC STRUCTURES FOR BOUSSINESQ SYSTEM WITH ZERO VISCOSITY

Authors

  • H. Meddour LEDPA, Université de Batna –2–, Faculté des Mathématiques et d'Informatique, Département de Mathématiques, 05000 Batna Algérie Author

Keywords:

Stratified system, vortex patches, local well-posedness, inviscid limit

Subjects:

35B65, 35Q35, 76D05

Abstract

The current paper deals with the local well-posedness problem for the two-dimensional partial viscous Boussinesq system when the initial vorticity belongs to the patch class. We prove in particular some results concerning the regularity persistence of the patch boundary and establish the convergence towards the inviscid limit when the molecular diffusivity goes to zero.

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Published

2019-10-15

Issue

Vol. 71 No. 4 (2019): Vol. 71, Issue 4

Section

Articles

License

Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.