A note on the variational analysis of the parabolic-parabolic Keller-Segel system in one spatial dimension
DOI10.1016/J.CRMA.2015.06.014zbMath1322.35055arXiv1502.01825OpenAlexW2104779395MaRDI QIDQ496082
Publication date: 16 September 2015
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.01825
convergenceexistenceparabolic-parabolic Keller-Segel systemgradient flow structuremixed Wasserstein-\(L^{2}\) distance
Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions for a nonlinear system of parabolic equations with gradient flow structure
- Regularity and uniqueness in quasilinear parabolic systems.
- The Janossy effect and hybrid variational principles
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- A gradient flow approach to a thin film approximation of the Muskat problem
- Exponential convergence to equilibrium in a coupled gradient flow system modeling chemotaxis
- The Parabolic-Parabolic Keller-Segel System with Critical Diffusion as a Gradient Flow in ℝd,d ≥ 3
- The one-dimensional chemotaxis model: global existence and asymptotic profile
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
- The Variational Formulation of the Fokker--Planck Equation
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
This page was built for publication: A note on the variational analysis of the parabolic-parabolic Keller-Segel system in one spatial dimension
