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Nonlinear potential theory and elliptic regularity theory are two classical topics in the modern analysis of partial differential equations. In this talk I show how these themes merge to solve the lon...
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Nonlinear partial differential equations (PDEs) are crucial to modelling important problems in science but they are computationally expensive and suffer from the curse of dimensionality. Since quantum...
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...
近日,机电学院葛明峰副教授团队硕士研究生吴奕德以第一作者在非线性动力学领域《Nonlinear Dynamics》期刊上刊发研究成果。该文设计了几种新的有限时间控制算法,成功解决了多机器人系统在多种情况下的竞争一致跟踪问题。
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...
This conference will demonstrate and strengthen connections between geometric analysis and nonlinear partial differential equations. We focus on new advances in several related themes, which include v...
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
The nonlinear problem is an important and interesting topic in many research fields. For example, the nonlinear optics model can more accurately describe the light propagation at very high intensities...
Mathematical theory of continuum mechanics gives rise to important classes of nonlinear partial differential equations, such as the celebrated Euler and Navier-Stokes equations for both compressible a...
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...

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