Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions
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Publication:2101108
DOI10.1016/j.jde.2022.11.018zbMath1503.35032arXiv2203.09130OpenAlexW4226030299MaRDI QIDQ2101108
Alexandre Boritchev, Lorenzo Brandolese, Piotr Biler
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.09130
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)
Cites Work
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- Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space
- Global well-posedness for Keller-Segel system in Besov type spaces
- Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis
- Global regular and singular solutions for a model of gravitating particles
- Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane
- Partial differential equations. III: Nonlinear equations.
- Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
- Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
- Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions
- The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework
- Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane
- Global radial solutions in classical Keller-Segel model of chemotaxis
- Singularities of solutions to chemotaxis systems
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension
- Fourier Analysis and Nonlinear Partial Differential Equations
- On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
- Single-point blow-up in the Cauchy problem for the higher-dimensional Keller–Segel system
- Superlinear Parabolic Problems
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