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Motivated by the Wisconsin octupole experiments on anomalous diffusion of hydrogen plasma across a purely poloidal octupole magnetic field, Berryman-Holland 1980 proved the stability of separable solu...
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...
Consumer expenditures in the United Kingdom account for over 50% of Gross Domestic Product on the expenditure side, yet their impact on economic activity is often Global geometric structures live on m...
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...
In this paper we propose a closed-form asymptotic expansion approach to pricing discretely monitored Asian options in general one-dimensional diffusion models. Our expansion is a small-time expansion ...
We consider perhaps the simplest non-trivial problem in advectiondiffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Fick’s law for the diffusion of adsorbed atoms adatoms on crystal surfaces below roughening is generalized to account for surface reconstruction. In this case, material parameters vary spatially at ...
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...
This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, t...
This paper is devoted to hydrodynamic limits of linear kinetic equations. We consider situations in which the thermodynamical equilibrium is described by a heavy-tail distribution function rather than...
This paper is devoted to hydrodynamic limits for collisional linear kinetic equations. It is a classical result that under certain conditions on the collision operator, the long time/small mean free p...
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
Consider a piecewise smooth expanding map of the interval possessing several invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs).
The main model studied in this paper is a lattice of pendula with a nearestneighbor coupling. If the coupling isweak, then the system is near-integrable and KAM tori fill most of the phase space. For ...

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