A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass
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Publication:4575291
DOI10.1017/S0956792517000286zbMath1395.92022arXiv1703.01636MaRDI QIDQ4575291
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Publication date: 13 July 2018
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01636
dualityLyapunov functionalsMoser-Trudinger inequalitylogarithmic Hardy-Littlewood-Sobolev inequalitymulti-species chemotaxis models
Stability of topological dynamical systems (37B25) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (3)
Coupled McKean–Vlasov diffusions: wellposedness, propagation of chaos and invariant measures ⋮ On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation ⋮ On Radial two-species Onsager vortices near the critical temperature
Cites Work
- Unnamed Item
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- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics
- Duality and best constant for a Trudinger-Moser inequality involving probability measures
- Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results
- On the finite-time blow-up of a non-local parabolic equation describing chemotaxis.
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Chemotactic systems in the presence of conflicts: A new functional inequality
- Initiation of slime mold aggregation viewed as an instability
- Mass quantization and minimax solutions for Neri's mean field equation in 2D-turbulence
- Mean field theories and dual variation -- mathematical structures of the mesoscopic model
- Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations
- Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
- Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions
- Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence
- Global existence and finite-time blow-up for a class of nonlocal parabolic problems
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- On the existence of blowing-up solutions for a mean field equation
- Global existence and divergence of critical solutions of a non-local parabolic problem in Ohmic heating process
- Statistical mechanics of the \(N\)-point vortex system with random intensities on a bounded domain
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents
- Existence of stationary turbulent flows with variable positive vortex intensity
- An expository survey on the recent development of mean field equations
- The logarithmic HLS inequality for systems on compact manifolds
- Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence
- Random walk with persistence and external bias
- Grow-Up Rate and Refined Asymptotics for a Two-Dimensional Patlak–Keller–Segel Model in a Disk
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- A critical parabolic estimate and application to nonlocal equations arising in chemotaxis
- Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions
- Multi-components chemotactic system in the absence of conflicts
- Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
- Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
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