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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...
As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successful...
The gravitational collapse of an isolated self-gravitating gaseous star for $\gamma$-law pressure $p(\rho)=\rho^\gamma$ ($1<\gamma<\frac43$) in the mass-supcritical case is investigated. It was first ...
数学家,主要从事偏微分方程、最优控制理论及有限元法理论研究。1937年11月生于江苏南通。1957年毕业于复旦大学数学系,1966年该校在职研究生毕业。1995年当选为中国科学院院士。
数学家,主要从事偏微分方程及其几何应用方面研究。1942年11月生于上海。1965年毕业于复旦大学数学系,1982年于复旦大学获博士学位。2003年当选为中国科学院院士。
数学家,长期从事偏微分方程理论与应用的研究,特别是关于高维非线性守恒律方程组与激波的数学理论研究。1941年6月出生于上海市。1962年毕业于复旦大学数学系,1965年于复旦大学获硕士学位。2013年当选为中国科学院院士。
We introduce in this work the normalizing field flows (NFF) for learning random fields from scattered measurements. More precisely, we construct a bijective transformation (a normalizing flow characte...
This paper is concerned with the numerical solution of the Maxwell–Schrodinger system under the temporal gauge, which describes light–matter interactions. We first propose a semidiscrete finite elemen...
In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vo...

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