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

Download Full-text

Global existence of strong solution for viscous shallow water system with large initial data on the irrotational part

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.010 ◽

2017 ◽

Vol 262 (10) ◽

pp. 4931-4978 ◽

Author(s):

Boris Haspot

Keyword(s):

Initial Data ◽

Global Existence ◽

Shallow Water ◽

Strong Solution ◽

Water System ◽

Large Initial Data ◽

Shallow Water System

Download Full-text

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

Download Full-text

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

Download Full-text

Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1130101 ◽

2018 ◽

Vol 50 (3) ◽

pp. 2486-2508 ◽

Author(s):

Bin Cheng ◽

Peng Qu ◽

Chunjing Xie

Keyword(s):

Global Existence ◽

Shallow Water ◽

Water System ◽

Classical Solutions ◽

Singularity Formation ◽

One Dimensional ◽

Shallow Water System ◽

Rotating Shallow Water

Download Full-text

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

Download Full-text

Global existence and well-posedness of the 2D viscous shallow water system in Besov spaces

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.12.005 ◽

2015 ◽

Vol 24 ◽

pp. 1-17 ◽

Author(s):

Yanan Liu ◽

Zhaoyang Yin

Keyword(s):

Global Existence ◽

Shallow Water ◽

Besov Spaces ◽

Water System ◽

Well Posedness ◽

Shallow Water System

Download Full-text

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

Applicable Analysis ◽

10.1080/00036811.2014.998205 ◽

2015 ◽

Vol 95 (1) ◽

pp. 78-96 ◽

Author(s):

Yanan Liu ◽

Zhaoyang Yin

Keyword(s):

Global Existence ◽

Shallow Water ◽

Sobolev Spaces ◽

Water System ◽

Well Posedness ◽

Shallow Water System

Download Full-text

Global existence and blow-up phenomena for an integrable two-component Camassa–Holm shallow water system

Journal of Differential Equations ◽

10.1016/j.jde.2009.08.002 ◽

2010 ◽

Vol 248 (8) ◽

pp. 2003-2014 ◽

Author(s):

Chunxia Guan ◽

Zhaoyang Yin

Keyword(s):

Global Existence ◽

Shallow Water ◽

Blow Up ◽

Water System ◽

Two Component ◽

Shallow Water System

Download Full-text

A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System

Journal of Scientific Computing ◽

10.1007/s10915-021-01513-z ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

J. Figueiredo ◽

S. Clain

Keyword(s):

Shallow Water ◽

Water System ◽

Hybrid Formulation ◽

Shallow Water System

Download Full-text

Global well-posedness for the viscous shallow water system with Korteweg type

Applicable Analysis ◽

10.1080/00036811.2017.1395861 ◽

2017 ◽

Vol 97 (16) ◽

pp. 2865-2879

Author(s):

Jinlu Li ◽

Zhaoyang Yin

Keyword(s):

Shallow Water ◽

Water System ◽

Well Posedness ◽

Shallow Water System

Download Full-text