The Keller-Segel system on bounded convex domains in critical spaces
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Publication:2061386
DOI10.1007/s42985-021-00085-9zbMath1476.35287OpenAlexW3168707772WikidataQ115369996 ScholiaQ115369996MaRDI QIDQ2061386
Christian Stinner, Klaus Kress, Matthias Hieber
Publication date: 13 December 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-021-00085-9
Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) General theory of partial differential operators (47F05) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)
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Strong time-periodic solutions to chemotaxis-Navier-Stokes equations on bounded domains, Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces
Cites Work
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- Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system in the scaling invariant space
- Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
- The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
- Maximal \(L^{p}\)-regularity for the Laplacian on Lipschitz domains
- A user's guide to PDE models for chemotaxis
- Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Critical spaces for quasilinear parabolic evolution equations and applications
- Global existence of solutions to an \(n\)-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production
- Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
- Strong time periodic solutions to Keller-Segel systems: an approach by the quasilinear Arendt-Bu theorem
- Facing low regularity in chemotaxis systems
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- <i>L</i><sub><i>p</i></sub>-Estimates of Solutions to <i>n</i>-Dimensional Parabolic-Parabolic System for Chemotaxis with Subquadratic Degradation
- Strong solutions to the Keller-Segel system with the weakLn/2initial data and its application to the blow-up rate
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Analysis in Banach Spaces
- The full Keller–Segel model is well-posed on nonsmooth domains
- Mathematical Analysis of the Navier-Stokes Equations
