Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces

DOI10.1007/s11425-016-0490-yzbMath1402.35212OpenAlexW2621440818MaRDI QIDQ1703881

Minghua Yang, Zun Wei Fu, Jinyi Sun

Publication date: 7 March 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-0490-y

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesblow-up criterionGevrey regularitytwo-species chemotaxis system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

Related Items (10)

Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces ⋮ Regularity of commutators of the bilinear maximal operator ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Unnamed Item ⋮ Global solutions to chemotaxis-Navier-Stokes equations in critical Besov spaces ⋮ Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces ⋮ Navier–Stokes equations: local existence, uniqueness and blow-up of solutions in Sobolev–Gevrey spaces

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