Asymptotics of chemotaxis systems with fractional dissipation for small data in critical Sobolev space
type: Item
instance of: scholarly article
title: Asymptotics of chemotaxis systems with fractional dissipation for small data in critical Sobolev space
zbMATH Open document ID: 1462.35065
author: Jaewook Ahn
author: Jihoon Lee
published in: Acta Applicandae Mathematicae
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7341769
zbMATH Keywords: decay estimate for higher Sobolev norms
zbMATH Keywords: Kato-Ponce inequality
MaRDI profile type: Publication
full work available at URL: s10440-019-00296-8
OpenAlex ID: W2989182438
cites work: Fractional-diffusion-advection limit of a kinetic model
cites work: About the kinetic description of fractional diffusion equations modeling chemotaxis
cites work: Blowup of solutions to generalized Keller-Segel model
cites work: Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
cites work: Global regular and singular solutions for a model of gravitating particles
cites work: The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
cites work: Large global-in-time solutions to a nonlocal model of chemotaxis
cites work: Q3431715
cites work: Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
cites work: Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
cites work: The one-dimensional Keller–Segel model with fractional diffusion of cells
cites work: Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
cites work: Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions
cites work: The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations
cites work: Generalized surface quasi-geostrophic equations with singular velocities
cites work: The fractional Keller–Segel model
cites work: Fractional Patlak--Keller--Segel Equations for Chemotactic Superdiffusion
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: The global Cauchy problem for the nonlinear Klein-Gordon equation
cites work: The Kato-Ponce Inequality
cites work: The Hörmander multiplier theorem for multilinear operators
cites work: On a drift-diffusion system for semiconductor devices
cites work: Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos
cites work: The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
cites work: Q3349325
cites work: Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation
cites work: Exploding solutions for a nonlocal quadratic evolution problem
cites work: Cauchy problems for Keller-Segel type time-space fractional diffusion equation
cites work: Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems
cites work: Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\).
cites work: The fractional diffusion limit of a kinetic model with biochemical pathway
cites work: Fractional Keller-Segel equations
cites work: Q5607484
cites work: Local and global solvability and blow up for the drift-diffusion equation with the fractional dissipation in the critical space
cites work: Asymptotic behavior of solutions to the drift-diffusion equation with critical dissipation
cites work: The optimal temporal decay estimates for the fractional power dissipative equation in negative Besov spaces
Wikidata QID: Q126866357
DOI: 10.1007/S10440-019-00296-8
description: scientific article; zbMATH DE number 7341769