Zobrazeno 1 - 10
of 984
pro vyhledávání: '"HENDERSON, CHRISTOPHER"'
We consider the road-field reaction-diffusion model introduced by Berestycki, Roquejoffre, and Rossi. By performing a "thin-front limit," we are able to deduce a Hamilton-Jacobi equation with a suitable effective Hamiltonian on the road that governs
Externí odkaz:
http://arxiv.org/abs/2407.15760
In this paper, we prove a kinetic Nash type inequality and adapt it to a new functional inequality for functions in a kinetic Sobolev space with absorbing boundary conditions on the half-space. As an application, we address the boundary behavior of t
Externí odkaz:
http://arxiv.org/abs/2407.08785
We consider the non-cutoff Boltzmann equation in the spatially inhomogeneous, soft potentials regime, and establish decay estimates for large velocity. In particular, we prove that pointwise algebraically decaying upper bounds in the velocity variabl
Externí odkaz:
http://arxiv.org/abs/2311.02235
We propose a novel method for establishing the convergence rates of solutions to reaction-diffusion equations to traveling waves. The analysis is based on the study of the traveling wave shape defect function introduced in [2]. It turns out that the
Externí odkaz:
http://arxiv.org/abs/2307.09523
We show that there exist traveling wave solutions of the Keller-Segel-FKPP equation, which models a diffusing and logistically growing population subject to chemotaxis. In contrast to previous results, our result is in the strong aggregation regime;
Externí odkaz:
http://arxiv.org/abs/2304.10024
We consider the traveling wave speed for Fisher-KPP (FKPP) fronts under the influence of repulsive chemotaxis and provide an almost complete picture of its asymptotic dependence on parameters representing the strength and length-scale of chemotaxis.
Externí odkaz:
http://arxiv.org/abs/2210.10067
We present probabilistic interpretations of solutions to semi-linear parabolic equations with polynomial nonlinearities in terms of the voting models on the genealogical trees of branching Brownian motion (BBM). These extend the connection between th
Externí odkaz:
http://arxiv.org/abs/2209.03435
We uncover a seemingly previously unnoticed algebraic structure of a large class of reaction-diffusion equations and use it, in particular, to study the long time behavior of the solutions and their convergence to traveling waves in the pulled and pu
Externí odkaz:
http://arxiv.org/abs/2208.02880
Publikováno v:
Ann. Sci. Ec. Norm. Super., 2025
This article considers the spatially inhomogeneous, non-cutoff Boltzmann equation. We construct a large-data classical solution given bounded, measurable initial data with uniform polynomial decay of mild order in the velocity variable. Our result re
Externí odkaz:
http://arxiv.org/abs/2207.03497
Autor:
Henderson, Christopher, Wang, Weinan
We prove a Schauder estimate for kinetic Fokker-Planck equations that requires only H\"older regularity in space and velocity but not in time. As an application, we deduce a weak-strong uniqueness result of classical solutions to the spatially inhomo
Externí odkaz:
http://arxiv.org/abs/2205.12930