Global existence and boundedness in a chemotaxis‐Stokes system with arbitrary porous medium diffusion | Zendy

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Global existence and boundedness in a chemotaxis‐Stokes system with arbitrary porous medium diffusion

Author(s) -

Yu Pei

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5920

Subject(s) - mathematics , porous medium , chemotaxis , diffusion , adiabatic process , mathematical analysis , boundary value problem , bounded function , constraint (computer aided design) , porosity , geometry , physics , chemistry , thermodynamics , organic chemistry , biochemistry , receptor

In this short paper, we establish the global existence and boundedness of solutions to the initial‐boundary value problem of a chemotaxis‐Stokes system with porous‐medium‐like cell diffusion Δ n m for all adiabatic exponents m >1. Our result extend the corresponding result under the constraint m ∈ ( 3 2 , 2 ] .

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