期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 377, 期 -, 页码 332-368出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2023.08.042
关键词
Hyperbolic-parabolic chemotaxis system; Nonlinear diffusion waves; Correction functions
类别
In this paper, the Cauchy problem for a quasi-linear hyperbolic-parabolic chemotaxis system modelling vasculogenesis is investigated. Through the use of new correction functions and existing results, more general results are obtained.
In this paper, we investigate the Cauchy problem for a quasi-linear hyperbolic-parabolic chemotaxis system modelling vasculogenesis. As Liu, Peng and Wang pointed out in [20], the smooth solutions of Cauchy problem for this system globally exist and converge to the shifted nonlinear diffusion waves. It is worth noting that due to the difficulty in constructing a group of correction functions to eliminate the gaps between the original solutions and the diffusion waves at infinity, they got their results under the stiff conditions m+ = 0 and 0+ = ab p+. However, by a deep observation, we realize that these two conditions can be removed. In this paper, by making full use of the results obtained in [20], and with the help of a group of new correction functions, we get some more general results. (c) 2023 Elsevier Inc. All rights reserved.
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