Nonlinear Evolution Equations and Their Application to Chemotaxis Models

研究成果: Chapter

抄録

Recently, we have investigated the global existence in time and asymptotic profile of solutions of some nonlinear evolution equations with strong dissipation and proliferation arising in mathematical biology. In this chapter, we improve the asymptotic behaviour of the solution to a simpler equation so that its derivative with respect to t converges exponentially to a constant steady state. We apply our result to a chemotaxis model and show the global existence in time and such exponential convergence property of the solution.

本文言語English
ホスト出版物のタイトルTrends in Mathematics
出版社Springer International Publishing
ページ337-347
ページ数11
DOI
出版ステータスPublished - 01-01-2019

出版物シリーズ

名前Trends in Mathematics
ISSN(印刷版)2297-0215
ISSN(電子版)2297-024X

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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