一类带有趋化性扩散的细菌模型一致有界解的整体存在性

Abstract

Abstract:

This paper is concerned with the global existence of uniformly bounded solutions for a class of chemotaxis models in two dimensional spaces. By using detailed energy estimates, some a priori estimates in different types of spaces including V₂(Q_{t, t}₊₁)、W^{1, 2}_{p, p}(Qt_{, t}₊₁)、L_{p, q}(Q_{t, t}₊₁)) and by applying uniform Gronwall inequality, we can prove the global existence of uniformly bounded solutions for a class of chemotactic systems with the proliferation term which involves both growth and death of the bacteria.

Key words: Chemotaxis, Global existence, Uniformly boundedness

CLC Number:

35K50

QU Feng-Long, WANG Yu-Quan. The Interior Transmission Problem for Isotropic Maxwell Equations and Some Estimates on the Index of Refraction[J].Acta mathematica scientia,Series A, 2014, 34(2): 409-418.

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The Interior Transmission Problem for Isotropic Maxwell Equations and Some Estimates on the Index of Refraction

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