Global weak solution for a chemotaxis Navier-Stokes system with p-Laplacian diffusion and singular sensitivity

被引:16
作者
Han, Jiayi [1 ]
Liu, Changchun [1 ]
机构
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
关键词
Chemotaxis-Navier-Stokes system; p -Laplacian diffusion; Singular sensitivity; Existence; FLUID SYSTEM; BOUNDEDNESS; BEHAVIOR; MODEL; EXISTENCE;
D O I
10.1016/j.nonrwa.2023.103898
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a chemotaxis-Navier-Stokes system with p-Laplacian diffusion and singular sensitivity in a bounded convex domain & OHM; & SUB; R3 with smooth boundary. It is shown that under an appropriate hypothesis for p and & delta;, there exists a locally bounded global weak solution of the corresponding initial-boundary problem.& COPY; 2023 Elsevier Ltd. All rights reserved.
引用
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页数:24
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共 37 条
[21]   GLOBAL BOUNDEDNESS OF SOLUTIONS TO A CHEMOTAXIS-FLUID SYSTEM WITH SINGULAR SENSITIVITY AND LOGISTIC SOURCE [J].
Ren, Guoqiang ;
Liu, Bin .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (07) :3843-3883
[22]   GLOBAL WEAK SOLUTIONS IN A PDE-ODE SYSTEM MODELING MULTISCALE CANCER CELL INVASION [J].
Stinner, Christian ;
Surulescu, Christina ;
Winkler, Michael .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (03) :1969-2007
[23]   Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion [J].
Tao, Weirun ;
Li, Yuxiang .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (11) :6872-6919
[24]   Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with slow p-Laplacian diffusion [J].
Tao, Weirun ;
Li, Yuxiang .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 45 :26-52
[25]   Bacterial swimming and oxygen transport near contact lines [J].
Tuval, I ;
Cisneros, L ;
Dombrowski, C ;
Wolgemuth, CW ;
Kessler, J ;
Goldstein, RE .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (07) :2277-2282
[26]   A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: Global weak solutions and asymptotic stabilization [J].
Winkler, Michael .
JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (05) :1339-1401
[27]   Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system [J].
Winkler, Michael .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33 (05) :1329-1352
[28]   Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity [J].
Winkler, Michael .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (04) :3789-3828
[29]   Stabilization in a two-dimensional chemotaxis-Navier-Stokes system [J].
Winkler, Michael .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 211 (02) :455-487
[30]   Global Large-Data Solutions in a Chemotaxis-(Navier-)Stokes System Modeling Cellular Swimming in Fluid Drops [J].
Winkler, Michael .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2012, 37 (02) :319-351