Global Well-Posedness for Viscoelastic Fluid System in Bounded Domains

SIAM Journal on Mathematical Analysis ◽

10.1137/10078503x ◽

2010 ◽

Vol 42 (6) ◽

pp. 2610-2625 ◽

Author(s):

Lingbing He ◽

Li Xu

Keyword(s):

Viscoelastic Fluid ◽

Well Posedness ◽

Bounded Domains ◽

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Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system

Science China Mathematics ◽

10.1007/s11425-009-3210-9 ◽

2010 ◽

Vol 53 (6) ◽

pp. 1521-1530 ◽

Author(s):

WenJing Zhao ◽

DaPeng Du

Keyword(s):

Viscoelastic Fluid ◽

Well Posedness ◽

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Well-posedness in critical spaces for incompressible viscoelastic fluid system

Nonlinear Analysis ◽

10.1016/j.na.2009.12.022 ◽

2010 ◽

Vol 72 (6) ◽

pp. 3222-3234 ◽

Author(s):

Jianzhen Qian

Keyword(s):

Viscoelastic Fluid ◽

Well Posedness ◽

Critical Spaces ◽

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Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2001.0852 ◽

2001 ◽

Vol 359 (1784) ◽

pp. 1449-1468 ◽

Author(s):

J. E. Marsden ◽

S. Shkoller

Keyword(s):

Navier Stokes ◽

Well Posedness ◽

Bounded Domains

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Well-posedness of linear ultraparabolic equations on bounded domains

Journal of Evolution Equations ◽

10.1007/s00028-017-0391-5 ◽

2017 ◽

Vol 18 (1) ◽

pp. 75-104 ◽

Author(s):

Michael D. Marcozzi

Keyword(s):

Well Posedness ◽

Bounded Domains ◽

Ultraparabolic Equations

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Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

Boundary Value Problems ◽

10.1186/s13661-017-0788-7 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Zhendong Luo ◽

Junqiang Gao

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Viscoelastic Fluid ◽

Mixed Finite Element ◽

Element Model ◽

Fluid System ◽

Stabilized Mixed Finite Element

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Global well-posedness for 2-D viscoelastic fluid model

Applied Mathematical Sciences ◽

10.12988/ams.2016.67214 ◽

2016 ◽

Vol 10 ◽

pp. 2661-2670

Author(s):

Mikhail A. Artemov ◽

George G. Berdzenishvili

Keyword(s):

Viscoelastic Fluid ◽

Fluid Model ◽

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Improved extensibility criteria and global well-posedness of a coupled chemotaxis-fluid model on bounded domains

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018119 ◽

2018 ◽

Vol 23 (9) ◽

pp. 3949-3967

Author(s):

Jishan Fan ◽

◽

Kun Zhao ◽

Keyword(s):

Fluid Model ◽

Well Posedness ◽

Bounded Domains

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Global existence and asymptotic behavior of solutions to a chemotaxis–fluid system on general bounded domains

Asymptotic Analysis ◽

10.3233/asy-141276 ◽

2015 ◽

Vol 92 (3-4) ◽

pp. 249-258 ◽

Author(s):

Jie Jiang ◽

Hao Wu ◽

Songmu Zheng

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Asymptotic Behavior Of Solutions ◽

Bounded Domains ◽

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Global well-posedness of weak solutions for the Lagrangian averaged Navier-Stokes equations on bounded domains

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2002.1.35 ◽

2002 ◽

Vol 1 (1) ◽

pp. 35-50 ◽

Author(s):

Daniel Coutand ◽

◽

J. Peirce ◽

Steve Shkoller

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Bounded Domains ◽

Navier Stokes Equations

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Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains

Boundary Value Problems ◽

10.1186/s13661-017-0850-5 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Caochuan Ma ◽

Weijiang Gu ◽

Jianzhu Sun

Keyword(s):

Well Posedness ◽

Bounded Domains ◽

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