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On the fast spreading scenario (Q6076652)

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scientific article; zbMATH DE number 7750991

Language	Label	Description	Also known as
English	On the fast spreading scenario	scientific article; zbMATH DE number 7750991

Statements

scholarly article

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On the fast spreading scenario (English)

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Communications of the American Mathematical Society

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publication date

17 October 2023

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full work available at URL

https://arxiv.org/abs/2104.00701

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

chemotaxis

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combustion

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hyperbolic flows

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shear flows

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global regularity

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quenching

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MaRDI profile type

MaRDI publication profile

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Multidimensional nonlinear diffusion arising in population genetics

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Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows

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Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case

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On the stability threshold for the 3D Couette flow in Sobolev regularity

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ERRATUM: Suppression of Blow-Up in Patlak--Keller--Segel Via Shear Flows

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Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data

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Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow

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The Sobolev stability threshold for 2D shear flows near Couette

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The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations

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Front propagation in periodic excitable media

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Generalized Transition Waves and Their Properties

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Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena

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The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

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The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane

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

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

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Existence of smooth solutions to coupled chemotaxis-fluid equations

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Nonlinear aspects of chemotaxis

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Modeling the dynamics of heterogeneity of solid tumors in response to chemotherapy

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Quenching of flames by fluid advection

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Diffusion and mixing in fluid flow

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

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Global Solutions to the Coupled Chemotaxis-Fluid Equations

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Quenching of reaction by cellular flows

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Dissipation enhancement by mixing

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Uniqueness and long time asymptotic for the Keller-Segel equation: the parabolic-elliptic case

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Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior

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Suppression of blow-up in parabolic–parabolic Patlak–Keller–Segel via strictly monotone shear flows

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Suppressing chemotactic blow-up through a fast splitting scenario on the plane

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Singularity patterns in a chemotaxis model

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Aggregation equations with fractional diffusion: preventing concentration by mixing

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Hypoelliptic second order differential equations

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs

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

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Model for chemotaxis

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Global regularity of chemotaxis equations with advection

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Suppression of chemotactic explosion by mixing

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Quenching of combustion by shear flows

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Preventing blow up in a chemotaxis model

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Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

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A coupled chemotaxis-fluid model: global existence

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COUPLED CHEMOTAXIS FLUID MODEL

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A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay

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Mathematical biology. Vol. 1: An introduction.

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Mathematical biology. Vol. 2: Spatial models and biomedical applications.

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Random walk with persistence and external bias

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Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

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The chemical basis of morphogenesis

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Bacterial swimming and oxygen transport near contact lines

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Diffusion and mixing in fluid flow via the resolvent estimate

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On spreading speeds and traveling waves for growth and migration models in a periodic habitat

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Front Propagation in Heterogeneous Media

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An Introduction to Fronts in Random Media

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On the Relation between Enhanced Dissipation Timescales and Mixing Rates

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Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows

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Reaction-diffusion front speed enhancement by flows

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Propagation of Reactions in Inhomogeneous Media

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Mathematics(1 entry)

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