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In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
Lamé函数可以视为当势函数取Weierstrass的p函数时Schr?dinger谱问题的解。KdV/KP型的可积系统存在以Lamé函数为平面波因子的精确解。 该报告将介绍KP方程的相关结果、周期退化、色散关系约化、公开问题、等等。
Lamé函数可以视为当势函数取Weierstrass的p函数时Schr?dinger谱问题的解。KdV/KP型的可积系统存在以Lamé函数为平面波因子的精确解。报告将以KdV方程为例,介绍基于Lamé函数的双线性方法框架,包括:椭圆色散关系、双线性方程的拟规范性质、tau函数、顶点算子的椭圆形变、双线性等式。
This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equat...
以流体边界控制问题和形状优化为例,介绍本人在偏微分方程约束控制与优化领域的一些最新研究进展,并讨论本领域内的一些挑战性问题。
Complex nonlinear interplays of multiple scales give rise to many interesting physical phenomena and pose major difficulties for the computer simulation of multiscale PDE models in areas such as reser...
Multiscale phenomena significantly impact on the computation and modeling for scientific and engineering problems. Multiscale finite element methods are used to build reduced order computational model...
In this talk, we will focus on the classification of positive solutions to the critical p-Laplace equation. It is well known that such issue is crucial in many applications such as a priori estimates,...
In this talk we will discuss a Steklov eigenvalue problem on an exterior Euclidean domain. We will present sharp lower and upper bounds for its first eigenvalue under various conditions on the domain....
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first re...
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...
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
近日,我校数学与统计学院赖柏顺教授与北京应用物理与计算数学研究所苗长兴研究员、北京航空航天大学郑孝信博士在Navier-Stokes方程研究方面取得新的进展,其合作完成的论文 “The forward self-similar solutions of the fractional Navier-Stokes Equations”在国际著名数学期刊《Advances in Mathematics》...
近期,我校理学院青年教师胡立群副教授在学界公认的一流综合性数学杂志Advances in Mathematics上发表重要研究成果。胡立群副教授与英国布里斯托大学Tim Browning教授合作研究了数学中关于双二次超曲面中有理点的分布问题,该成果对于该类代数簇上有理点分布的研究具有重要意义。胡立群副教授为该成果的通讯作者,南昌大学为通讯单位。
It is our great honour to welcome you to the International Conference on Partial Differential Equations-Silkroad Mathematics Center Series International Conferences, hosted jointly by the Chinese Math...

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