Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021002 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Xing Wu ◽

◽

Keqin Su

Keyword(s):

Global Existence ◽

Besov Spaces ◽

Optimal Decay ◽

Optimal Decay Rate ◽

Chemotaxis System

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Global existence and optimal decay rate of the compressible bipolar Navier–Stokes–Poisson equations with external force

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2013.09.014 ◽

2014 ◽

Vol 16 ◽

pp. 146-162 ◽

Author(s):

Zhiyuan Zhao ◽

Yeping Li

Keyword(s):

Global Existence ◽

External Force ◽

Navier Stokes ◽

Poisson Equations ◽

Optimal Decay ◽

Optimal Decay Rate

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Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation

Applicable Analysis ◽

10.1080/00036811003649090 ◽

2010 ◽

Vol 89 (6) ◽

pp. 815-831 ◽

Author(s):

Salima Mimouni ◽

Abbes Benaissa ◽

Nour-Eddine Amroun

Keyword(s):

Wave Equation ◽

Global Existence ◽

Quasilinear Wave Equation ◽

Optimal Decay ◽

Optimal Decay Rate

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Global existence and optimal decay rate of the compressible Navier–Stokes–Korteweg equations with external force

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.11.006 ◽

2012 ◽

Vol 388 (2) ◽

pp. 1218-1232 ◽

Author(s):

Yeping Li

Keyword(s):

Global Existence ◽

External Force ◽

Navier Stokes ◽

Optimal Decay ◽

Optimal Decay Rate

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Global Existence and Optimal Decay Rate of the Compressible Magnetohydrodynamic Equation with Potential Force

Wuhan University Journal of Natural Sciences ◽

10.1007/s11859-018-1327-9 ◽

2018 ◽

Vol 23 (4) ◽

pp. 309-317

Author(s):

Lin Ye ◽

Yeping Li

Keyword(s):

Global Existence ◽

Potential Force ◽

Magnetohydrodynamic Equation ◽

Optimal Decay ◽

Optimal Decay Rate

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Global Existence of Classical Solutions and Optimal Decay Rate for Compressible Flows via the Theory of Semigroups

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-13344-7_52 ◽

2018 ◽

pp. 2085-2181 ◽

Author(s):

Yoshihiro Shibata ◽

Yuko Enomoto

Keyword(s):

Global Existence ◽

Compressible Flows ◽

Classical Solutions ◽

Optimal Decay ◽

Optimal Decay Rate

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Global Existence of Classical Solutions and Optimal Decay Rate Via the Theory of Semigroup

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-10151-4_52-1 ◽

2017 ◽

pp. 1-97

Author(s):

Yoshihiro Shibata ◽

Yuko Enomoto

Keyword(s):

Global Existence ◽

Classical Solutions ◽

Optimal Decay ◽

Optimal Decay Rate

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Global existence and optimal decay rate for the strong solutions in H2 to the compressible Navier–Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2011.04.028 ◽

2011 ◽

Vol 24 (11) ◽

pp. 1778-1784 ◽

Author(s):

Yanjin Wang ◽

Zhong Tan

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay ◽

Optimal Decay Rate

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Global existence and optimal decay rate for the strong solutions inH2to the 3-D compressible Navier–Stokes equations without heat conductivity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.001 ◽

2012 ◽

Vol 394 (2) ◽

pp. 571-580 ◽

Author(s):

Zhong Tan ◽

Huaqiao Wang

Keyword(s):

Global Existence ◽

Heat Conductivity ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay ◽

Optimal Decay Rate

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Optimal decay rate for the compressible Navier–Stokes–Poisson system in the critical L framework

Journal of Differential Equations ◽

10.1016/j.jde.2017.08.041 ◽

2017 ◽

Vol 263 (12) ◽

pp. 8391-8417 ◽

Author(s):

Qunyi Bie ◽

Qiru Wang ◽

Zheng-an Yao

Keyword(s):

Navier Stokes ◽

Poisson System ◽

Optimal Decay ◽

Optimal Decay Rate

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On the global polynomial stabilization and observation with optimal decay rate

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111447 ◽

2021 ◽

Vol 153 ◽

pp. 111447

Author(s):

Chaker Jammazi ◽

Mohamed Boutayeb ◽

Ghada Bouamaied

Keyword(s):

Optimal Decay ◽

Optimal Decay Rate ◽

Polynomial Stabilization

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