On solutions defined on the whole-line of chemotaxis-fluid systems in Lorentz spaces

被引：0

作者：

Pham, Truong Xuan ^{[1
]}

机构：

[1] Thang Long Univ, Thang Long Inst Math & Appl Sci TIMAS, Hanoi, Vietnam

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2025年 / 205卷

关键词：

Chemotaxis models; Keller-Segel systems; Navier-Stokes equations; Dispersive (and smoothing); estimates; Lorentz spaces; Almost periodic functions (solutions); KELLER-SEGEL SYSTEM; NAVIER-STOKES EQUATIONS; PARABOLIC-PARABOLIC TYPE; TIME BLOW-UP; GLOBAL EXISTENCE; PERIODIC-SOLUTIONS; STABILITY;

D O I：

10.1016/j.bulsci.2025.103698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence, uniqueness and polynomial stability of mild solutions for the Keller-Segel-Navier-Stokes system on the whole space Rd (d >= 4) and on the whole line time-axis. We work in a singular class of Lorentz spaces, i.e., the weak-Lp space. Our method is based on the dispersive, smoothing and Yamazaki estimates of the heat semigroup and a fixed point lemma. (c) 2025 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

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