Global existence and large time behavior for the chemotaxis–shallow water system in a bounded domain

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020284 ◽

2020 ◽

Vol 40 (11) ◽

pp. 6379-6409

Author(s):

Weike Wang ◽

◽

Yucheng Wang ◽

Keyword(s):

Global Existence ◽

Shallow Water ◽

Bounded Domain ◽

Water System ◽

Large Time Behavior ◽

Time Behavior ◽

Shallow Water System

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Global existence and large time behavior for a two-dimensional chemotaxis–shallow water system

Journal of Differential Equations ◽

10.1016/j.jde.2018.05.002 ◽

2018 ◽

Vol 265 (7) ◽

pp. 3092-3129 ◽

Author(s):

Qiang Tao ◽

Zheng-an Yao

Keyword(s):

Global Existence ◽

Shallow Water ◽

Water System ◽

Large Time Behavior ◽

Time Behavior ◽

Two Dimensional ◽

Shallow Water System

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Global solutions and large time behavior for the chemotaxis-shallow water system

Journal of Differential Equations ◽

10.1016/j.jde.2020.11.033 ◽

2021 ◽

Vol 275 ◽

pp. 332-358

Author(s):

Xiaoping Zhai ◽

Yiren Chen

Keyword(s):

Shallow Water ◽

Water System ◽

Global Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Shallow Water System

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Global existence of strong solution to the chemotaxis-shallow water system with vacuum in a bounded domain

Journal of Differential Equations ◽

10.1016/j.jde.2021.11.005 ◽

2022 ◽

Vol 307 ◽

pp. 517-555

Author(s):

Weike Wang ◽

Yucheng Wang

Keyword(s):

Global Existence ◽

Shallow Water ◽

Strong Solution ◽

Bounded Domain ◽

Water System ◽

Shallow Water System

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Global existence and large-time behavior of smooth solutions to the Timoshenko–Fourier system in thermoelasticity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2017.06.011 ◽

2018 ◽

Vol 39 ◽

pp. 246-260

Author(s):

Hongmei Cao ◽

Jiang Xu

Keyword(s):

Global Existence ◽

Large Time Behavior ◽

Time Behavior ◽

Smooth Solutions

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Global existence and well-posedness of the 2D viscous shallow water system in Sobolev spaces with low regularity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.01.046 ◽

2016 ◽

Vol 438 (1) ◽

pp. 14-28 ◽

Author(s):

Yanan Liu ◽

Zhaoyang Yin

Keyword(s):

Global Existence ◽

Shallow Water ◽

Sobolev Spaces ◽

Water System ◽

Well Posedness ◽

Low Regularity ◽

Shallow Water System

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Global existence and large time behavior for the system of compressible adiabatic flow through porous media inR3

Journal of Differential Equations ◽

10.1016/j.jde.2013.05.003 ◽

2013 ◽

Vol 255 (5) ◽

pp. 865-880 ◽

Author(s):

Guochun Wu ◽

Zhong Tan ◽

Jun Huang

Keyword(s):

Porous Media ◽

Global Existence ◽

Large Time Behavior ◽

Time Behavior ◽

Flow Through Porous Media ◽

Adiabatic Flow ◽

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Global Existence and Large Time Behavior of Strong Solutions to the 2-D Compressible Nematic Liquid Crystal Flows with Vacuum

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-016-0251-z ◽

2016 ◽

Vol 18 (3) ◽

pp. 539-569 ◽

Author(s):

Teng Wang

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball, I: 3D irrotational Euler equations

Physica Scripta ◽

10.1088/1402-4896/aad681 ◽

2018 ◽

Vol 93 (10) ◽

pp. 105001

Author(s):

Gang Xu ◽

Huicheng Yin

Keyword(s):

Global Existence ◽

Euler Equations ◽

Compressible Fluid ◽

Large Time Behavior ◽

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Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1992-1057781-6 ◽

1992 ◽

Vol 333 (1) ◽

pp. 365-378 ◽

Author(s):

Tzong-Yow Lee ◽

Wei-Ming Ni

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Life Span ◽

Large Time Behavior ◽

Time Behavior ◽

Semilinear Parabolic

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Global existence and large time behavior of solutions for the bipolar quantum hydrodynamic models in the quarter plane

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2694 ◽

2013 ◽

Vol 36 (11) ◽

pp. 1409-1422 ◽

Author(s):

Yeping Li

Keyword(s):

Global Existence ◽

Large Time Behavior ◽

Time Behavior ◽

Hydrodynamic Models ◽

Quarter Plane ◽

Quantum Hydrodynamic

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