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Congested aggregation via Newtonian interaction (Q1702434)

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Language	Label	Description	Also known as
English	Congested aggregation via Newtonian interaction	scientific article

Statements

scholarly article

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Congested aggregation via Newtonian interaction (English)

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Inwon Christina Kim

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Archive for Rational Mechanics and Analysis

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publication date

28 February 2018

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full work available at URL

https://arxiv.org/abs/1603.03790

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zbMATH Keywords

Keller-Segel equation

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viscosity solution

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biological chemotaxis

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MaRDI profile type

MaRDI publication profile

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Quasi-static evolution and congested crowd transport

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A gradient flow approach to an evolution problem arising in superconductivity

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Nonlocal interactions by repulsive-attractive potentials: radial ins/stability

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Confinement for repulsive-attractive kernels

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A non-Maxwellian steady distribution for one-dimensional granular media

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Blow-up in multidimensional aggregation equations with mildly singular interaction kernels

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Ring patterns and their bifurcations in a nonlocal model of biological swarms

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AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS

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On the hydrodynamic limit of Ginzburg-Landau vortices.

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

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Geometric stability of the Coulomb energy

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Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion

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Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics

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Uniqueness for Keller-Segel-type chemotaxis models

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

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Swarm dynamics and equilibria for a nonlocal aggregation model

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Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions

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Curvature Measures

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STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS

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Equilibria of biological aggregations with nonlocal repulsive-attractive interactions

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Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities

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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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Porous medium equation to Hele-Shaw flow with general initial density

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The Patlak–Keller–Segel Model and Its Variations: Properties of Solutions via Maximum Principle

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Uniqueness and existence results on the Hele-Shaw and the Stefan problems

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Degenerate diffusion with a drift potential: a viscosity solutions approach

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The Chandrasekhar theory of stellar collapse as the limit quantum mechanics

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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Uniqueness of the solution to the Vlasov--Poisson system with bounded density

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Global solutions to vortex density equations arising from sup-conductivity

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A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

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Handling congestion in crowd motion modeling

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A Hele-Shaw problem for tumor growth

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Diagonal defect measures, adhesion dynamics and Euler equation.

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Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling

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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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Stability and clustering of self-similar solutions of aggregation equations

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A nonlocal continuum model for biological aggregation

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Identifiers

zbMATH Open document ID

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10.1007/s00205-017-1156-6

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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:1702434

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