Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems

Sachiko Ishida; Tomomi Yokota

Archivum Mathematicum (2023)

  • Volume: 059, Issue: 2, page 181-189
  • ISSN: 0044-8753

Abstract

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This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.

How to cite

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Ishida, Sachiko, and Yokota, Tomomi. "Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems." Archivum Mathematicum 059.2 (2023): 181-189. <http://eudml.org/doc/298992>.

@article{Ishida2023,
abstract = {This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.},
author = {Ishida, Sachiko, Yokota, Tomomi},
journal = {Archivum Mathematicum},
keywords = {stabilization; degenerate diffusion; Keller-Segel systems},
language = {eng},
number = {2},
pages = {181-189},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems},
url = {http://eudml.org/doc/298992},
volume = {059},
year = {2023},
}

TY - JOUR
AU - Ishida, Sachiko
AU - Yokota, Tomomi
TI - Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 059
IS - 2
SP - 181
EP - 189
AB - This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.
LA - eng
KW - stabilization; degenerate diffusion; Keller-Segel systems
UR - http://eudml.org/doc/298992
ER -

References

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