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In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief int...
2021年8月18日-20日,由国家天元数学西北中心主办的非线性分析与反应扩散方程学术研讨会依托线上腾讯会议平台成功举办。本次研讨会为从事非线性分析和反应扩散方程相关领域的专家、学者和研究生提供了一个高水平的学术交流平台。会议期间,邀请了来自清华大学、美国威廉玛丽学院、加拿大麦吉尔大学、加拿大纽芬兰纪念大学、美国迈阿密大学、中国科学技术大学、上海交通大学、兰州大学、四川大学等相关领域的知名专家作了...
International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations”, is to be held at Jiangsu University, Zhenjiang, China, June 3-5, 2017 (with June 2nd as registration day). The aim of t...
For a class of one-dimensional reaction-diffusion equations, we establish the existence of generalized fronts, as recently defined by Berestycki and Hamel. We also prove uniform nondegeneracy estimate...
We consider a reaction-diffusion system of the KPP type in a shear flow and with a non-zeroheat loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagati...
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly supported and the size of t...
Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction....
Traveling waves for the nonlocal Fisher Equation can exhibit much more complex behaviours than for the usual Fisher equation. A striking numerical observation is that a traveling wave with minimal spe...
We study a reaction-diffusion system of partial differential equations, which can be taken to be a basic model for criminal activity, first introduced in [3]. We show that the assumption of a populati...
In this paper, we study the global existence and nonexistence of positive solutions to the following nonlinear reaction-di usion system 8>>>>>>>>>>>>< >>>>>>>>>>>>: ut 􀀀 u = W(x)vp + S(x...
New advances in nano sciences open the door for scientists to study biological processes on a microscopic molecule-by-molecule basis. Recent single-molecule biophysical experiments on enzyme systems, ...
Abstract: Homogenization of a stochastic nonlinear reaction-diffusion equation with a large non- linear term is considered. Under a general Besicovitch almost periodicity assumption on the coefficient...
Abstract: We define a subclass of Chemical Reaction Networks called Post-Translational Modification systems. Important biological examples of such systems include MAPK cascades and two-component syste...
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a ...
Abstract: Treating a realistic problem in any field of reaction kinetics raises a series of problems: we review these illustrated with examples using ReactionKinetics, a Mathematica based package.

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