Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces

Nonlinear Analysis ◽

10.1016/j.na.2020.111782 ◽

2020 ◽

Vol 196 ◽

pp. 111782

Author(s):

Yao Nie ◽

Jia Yuan

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Chemotaxis System ◽

Critical Besov Spaces

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Global well-posedness for the Phan-Thein-Tanner model in critical Besov spaces without damping

Journal of Mathematical Physics ◽

10.1063/1.5094086 ◽

2019 ◽

Vol 60 (6) ◽

pp. 061503

Author(s):

Yuhui Chen ◽

Wei Luo ◽

Xiaoping Zhai

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces

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Global Well-Posedness for Inhomogeneous Navier–Stokes Equations in Endpoint Critical Besov Spaces

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-020-00532-4 ◽

2020 ◽

Vol 23 (1) ◽

Author(s):

Myong-Hwan Ri

Keyword(s):

Besov Spaces ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Critical Besov Spaces

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Local Well-Posedness and Blowup Criterion of the Boussinesq Equations in Critical Besov Spaces

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-008-0286-x ◽

2009 ◽

Vol 12 (2) ◽

pp. 280-292 ◽

Author(s):

Liu Xiaofeng ◽

Meng Wang ◽

Zhifei Zhang

Keyword(s):

Besov Spaces ◽

Boussinesq Equations ◽

Well Posedness ◽

Blowup Criterion ◽

Critical Besov Spaces

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Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-012-0193-0 ◽

2012 ◽

Vol 63 (5) ◽

pp. 825-834 ◽

Author(s):

Chengchun Hao

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Chemotaxis Model ◽

Critical Besov Spaces

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Global well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.06.048 ◽

2015 ◽

Vol 432 (1) ◽

pp. 179-195 ◽

Author(s):

Xiaoping Zhai ◽

Yongsheng Li ◽

Wei Yan

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces

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Global Well-Posedness in the Critical Besov Spaces for the Incompressible Oldroyd-B Model Without Damping Mechanism

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0446-1 ◽

2019 ◽

Vol 21 (3) ◽

Author(s):

Qionglei Chen ◽

Xiaonan Hao

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces

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Well-posedness in super critical Besov spaces for the compressible MHD equations

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2011.041882 ◽

2011 ◽

Vol 3 (3) ◽

pp. 383 ◽

Author(s):

Dongfen Bian ◽

Baoquan Yuan

Keyword(s):

Besov Spaces ◽

Mhd Equations ◽

Well Posedness ◽

Compressible Mhd Equations ◽

Critical Besov Spaces

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Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

Journal of Evolution Equations ◽

10.1007/s00028-016-0334-6 ◽

2016 ◽

Vol 17 (2) ◽

pp. 717-747 ◽

Author(s):

Noboru Chikami ◽

Takayoshi Ogawa

Keyword(s):

Besov Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Poisson System ◽

Critical Besov Spaces

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Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.09.060 ◽

2008 ◽

Vol 340 (2) ◽

pp. 1326-1335 ◽

Author(s):

Gang Wu ◽

Jia Yuan

Keyword(s):

Cauchy Problem ◽

Besov Spaces ◽

Fractional Power ◽

Well Posedness ◽

The Cauchy Problem ◽

Critical Besov Spaces ◽

Dissipative Equation

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Well-posedness and Gevrey analyticity of the generalized Keller–Segel system in critical Besov spaces

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-017-0691-y ◽

2017 ◽

Vol 197 (2) ◽

pp. 521-548

Author(s):

Jihong Zhao

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces

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