Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption
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Publication:829383
DOI10.1007/s11425-020-1708-0zbMath1464.35051OpenAlexW3047145140MaRDI QIDQ829383
Yulan Wang, Michael Winkler, Zhaoyin Xiang
Publication date: 6 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-020-1708-0
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs with measure (35R06)
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Cites Work
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- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global stability of prey-taxis systems
- Nonlinear parabolic equations involving measures as initial conditions
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- Functional analysis, Sobolev spaces and partial differential equations
- Conformal deformations of metric on \({\mathcal S}\) 2
- Two-dimensional Navier-Stokes flow with measures as initial vorticity
- The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system
- Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
- On the stability of critical chemotactic aggregation
- Measure valued solutions of the 2D Keller-Segel system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Stabilization in a chemotaxis model for tumor invasion
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Degenerate parabolic equations with initial data measures
- Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
- Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops