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Equilibria of homogeneous functionals in the fair-competition regime (Q2361692)

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Language	Label	Description	Also known as
English	Equilibria of homogeneous functionals in the fair-competition regime	scientific article

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scholarly article

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Equilibria of homogeneous functionals in the fair-competition regime (English)

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Franca Hoffmann

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José Antonio Carrillo

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

30 June 2017

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full work available at URL

https://arxiv.org/abs/1610.00939

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zbMATH Keywords

aggregation-diffusion equations

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gradient flows

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minimisation

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MaRDI profile type

MaRDI publication profile

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Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion

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Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)

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Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

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Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model

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Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions

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Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ<sup>2</sup>

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Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

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Volume effects in the Keller--Segel model: energy estimates preventing blow-up

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Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities

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The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime

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Blow-up dynamics of self-attracting diffusive particles driven by competing convexities

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Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up

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Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation

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Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)

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Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction

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Ground states in the diffusion-dominated regime

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Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

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Contractions in the 2-Wasserstein length space and thermalization of granular media

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Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity

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Self-gravitating Brownian particles in two dimensions: the case of \(N = 2\) particles

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Multidimensional Degenerate Keller–Segel System with Critical Diffusion Exponent $2n/(n+2)$

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Exact criterion for global existence and blow up to a degenerate Keller-Segel system

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Nonlinear aspects of chemotaxis

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Global Existence vs. Blowup in a One-dimensional Smoluchowski-Poisson System

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Global solutions of some chemotaxis and angiogenesis system in high space dimension

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Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)

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The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions

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On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis

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The Variational Formulation of the Fokker--Planck Equation

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Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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A note on \(L^\infty\)-bound and uniqueness to a degenerate Keller-Segel model

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.

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Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models

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Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.

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Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term

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Asymptotic behavior for critical Patlak-Keller-Segel model and a repulsive-attractive aggregation equation

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2017.03.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2361692

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