Compressible primitive equations: formal derivation and stability of weak solutions

Nonlinearity ◽

10.1088/0951-7715/24/1/004 ◽

2010 ◽

Vol 24 (1) ◽

pp. 79-96 ◽

Author(s):

Mehmet Ersoy ◽

Timack Ngom ◽

Mamadou Sy

Keyword(s):

Weak Solutions ◽

Primitive Equations ◽

Formal Derivation

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Formal derivation and existence of global weak solutions of a two-dimensional bilayer model coupling shallow water and Reynolds lubrication equations

Asymptotic Analysis ◽

10.3233/asy-161381 ◽

2016 ◽

Vol 99 (3-4) ◽

pp. 207-239

Author(s):

Brahima Roamba ◽

Jean de Dieu Zabsonré ◽

Sado Traoré

Keyword(s):

Shallow Water ◽

Weak Solutions ◽

Model Coupling ◽

Two Dimensional ◽

Global Weak Solutions ◽

Formal Derivation

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Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5120088 ◽

2020 ◽

Vol 61 (2) ◽

pp. 021507 ◽

Author(s):

Fengchao Wang ◽

Changsheng Dou ◽

Quansen Jiu

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Primitive Equations ◽

Existence Of Weak Solutions ◽

Degenerate Viscosity

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On the uniqueness of z-weak solutions of the three-dimensional primitive equations of the ocean

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.02.031 ◽

2010 ◽

Vol 11 (3) ◽

pp. 1413-1421 ◽

Author(s):

T. Tachim Medjo

Keyword(s):

Weak Solutions ◽

Three Dimensional ◽

Primitive Equations

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On $H^2$ solutions and $z$-weak solutions of the 3D Primitive Equations

Indiana University Mathematics Journal ◽

10.1512/iumj.2017.66.6065 ◽

2017 ◽

Vol 66 (3) ◽

pp. 973-996 ◽

Author(s):

Ning Ju

Keyword(s):

Weak Solutions ◽

Primitive Equations

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Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1211994 ◽

2019 ◽

Vol 51 (3) ◽

pp. 1913-1964 ◽

Author(s):

Xin Liu ◽

Edriss S. Titi

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Atmospheric Dynamics ◽

Primitive Equations ◽

Existence Of Weak Solutions

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Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data

SIAM Journal on Mathematical Analysis ◽

10.1137/15m1050513 ◽

2017 ◽

Vol 49 (1) ◽

pp. 1-28 ◽

Author(s):

Jinkai Li ◽

Edriss S. Titi

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Existence And Uniqueness ◽

Primitive Equations ◽

Discontinuous Initial Data

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Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-021-00619-6 ◽

2021 ◽

Vol 23 (4) ◽

Author(s):

Ning Ju

Keyword(s):

Weak Solutions ◽

Primitive Equations

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Uniqueness of the global weak solutions to 2D compressible primitive equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.12.035 ◽

2018 ◽

Vol 461 (2) ◽

pp. 1653-1671 ◽

Author(s):

Quansen Jiu ◽

Mingjie Li ◽

Fengchao Wang

Keyword(s):

Weak Solutions ◽

Primitive Equations ◽

Global Weak Solutions

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Existence of Weak Solutions for a Nonlocal Problem Involving the p(x)-Laplace Operator

Journal of Advances in Mathematical Analysis and Applications ◽

10.23884/jamaa.2016.1.1.02 ◽

2016 ◽

Vol 1 (1) ◽

pp. 8-17

Author(s):

Zehra Yucedag ◽

Keyword(s):

Laplace Operator ◽

Weak Solutions ◽

Nonlocal Problem ◽

Existence Of Weak Solutions

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On Regularity of Weak Solutions to a Generalized Voigt Model of Viscoelasticity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520110159 ◽

2020 ◽

Vol 60 (11) ◽

pp. 1872-1888

Author(s):

V. G. Zvyagin ◽

V. P. Orlov

Keyword(s):

Weak Solutions ◽

Regularity Of Weak Solutions ◽

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