Ground states in the diffusion-dominated regime

From MaRDI portal
Publication:1800870

DOI10.1007/s00526-018-1402-2zbMath1430.35122arXiv1705.03519OpenAlexW2962935401WikidataQ58578569 ScholiaQ58578569MaRDI QIDQ1800870

Franca Hoffmann, Edoardo Mainini, Bruno Volzone, José Antonio Carrillo

Publication date: 26 October 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03519




Related Items (31)

Equilibria of homogeneous functionals in the fair-competition regimeRelative entropy method for the relaxation limit of hydrodynamic modelsPrimal dual methods for Wasserstein gradient flowsLimit profiles for singularly perturbed Choquard equations with local repulsionFast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutionsLong-time asymptotics for a 1D nonlocal porous medium equation with absorption or convectionAsymptotic simplification of aggregation-diffusion equations towards the heat kernelSegregation effects and gap formation in cross-diffusion modelsThe aggregation-diffusion equation with energy critical exponentExistence and uniqueness of a weak solution of an integro-differential aggregation equation on a Riemannian manifoldOn a repulsion-diffusion equation with immigrationStationary Ring and Concentric-Ring Solutions of the Keller--Segel Model with Quadratic DiffusionAggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular LimitsUniqueness of entire ground states for the fractional plasma problemOn long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactionsUniqueness of stationary states for singular Keller-Segel type modelsSharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction systemOn a class of diffusion-aggregation equationsExistence of ground states for aggregation-diffusion equationsAsymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion caseSymmetry in stationary and uniformly rotating solutions of active scalar equationsAggregation-diffusion to constrained interaction: minimizers \& gradient flows in the slow diffusion limitOn a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity termsNonlinear aggregation-diffusion equations: radial symmetry and long time asymptoticsUniform in time \(L^{\infty }\)-estimates for nonlinear aggregation-diffusion equationsUnnamed ItemTravelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equationHigh-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free EnergyFrom radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentialsEquilibration of Aggregation-Diffusion Equations with Weak Interaction ForcesTaxis-driven persistent localization in a degenerate Keller-Segel system



Cites Work


This page was built for publication: Ground states in the diffusion-dominated regime