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

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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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Well-posedness and derivative blow-up for a dispersionless regularized shallow water system

Nonlinearity ◽

10.1088/1361-6544/ab2cf1 ◽

2019 ◽

Vol 32 (11) ◽

pp. 4346-4376

Author(s):

Jian-Guo Liu ◽

Robert L Pego ◽

Yue Pu

Keyword(s):

Shallow Water ◽

Blow Up ◽

Water System ◽

Well Posedness ◽

Shallow Water System

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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

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The local well-posedness of a chemotaxis-shallow water system with vacuum

Acta Mathematica Scientia ◽

10.1007/s10473-021-0113-5 ◽

2020 ◽

Vol 41 (1) ◽

pp. 231-240

Author(s):

Jishan Fan ◽

Fucai Li ◽

Gen Nakamura

Keyword(s):

Shallow Water ◽

Water System ◽

Well Posedness ◽

Shallow Water System

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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

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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

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The Generalized Carrier–Greenspan Transform for the Shallow Water System with Arbitrary Initial and Boundary Conditions

Water Waves ◽

10.1007/s42286-020-00042-w ◽

2020 ◽

Author(s):

Alexei Rybkin ◽

Dmitry Nicolsky ◽

Efim Pelinovsky ◽

Maxwell Buckel

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Water System ◽

Shallow Water System ◽

Initial And Boundary Conditions

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AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2001108 ◽

2001 ◽

Vol 35 (1) ◽

pp. 107-127 ◽

Author(s):

Manuel Castro ◽

Jorge Macías ◽

Carlos Parés

Keyword(s):

Conservation Laws ◽

Shallow Water ◽

Source Term ◽

Water System ◽

Shallow Water System

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Delta Shock Waves in the Shallow Water System

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-017-9594-2 ◽

2017 ◽

Vol 30 (3) ◽

pp. 1187-1198 ◽

Author(s):

C. O. R. Sarrico ◽

A. Paiva

Keyword(s):

Shock Waves ◽

Shallow Water ◽

Water System ◽

Delta Shock ◽

Shallow Water System ◽

Delta Shock Waves

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A Relaxation Scheme for the Two-Layer Shallow Water System

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-540-75712-2_11 ◽

2008 ◽

pp. 135-144 ◽

Author(s):

R. Abgrall ◽

S. Karni

Keyword(s):

Shallow Water ◽

Water System ◽

Relaxation Scheme ◽

Shallow Water System

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