In this talk, we shall consider some aspects of nonlocal dispersal equations. First, we will present some relations between local (random) and nonlocal dispersal problems and then report our recent results on traveling waves and entire solutions of nonlocal dispersal equations. This talk is based on some joint works with Yu-Juan Sun, Zhi-Cheng W...
Creator:
Li, Wan-Tong (Lanzhou University)
Created:
2012-12-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss a coarse-grained model of molecular dynamics incrystalline solids. Such system usually has an underlying latticestructure, and the empirical potentials are of quite simple forms.Thus it provides a nice setting in which coarse-graining (CG) methodscan be considered. The goal of the CG method is to reduce theatomic degrees of freedo...
Creator:
Li, Xiantao (The Pennsylvania State University)
Created:
2009-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider a product rental network with a fixed number of rental units distributed across multiple locations. The units are accessed by customers without prior reservation and on an on-demand basis. Customers are provided with the flexibility to decide on how long to keep a unit and where to return it. Because of the randomness in demand and i...
Creator:
Li, Xiaobo (National University of Singapore)
Created:
2018-12-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Increasing congestion, excessive fuel consumption and emissions, and unacceptable safety risks remain the major challenges to next-generation highway systems that are meant to be smart and sustainable. All these challenges are linked to frequent stop-and-go traffic that seems inevitable in existing highway traffic systems due to natural limitati...
Creator:
Li, Xiaopeng (Shaw) (University of South Florida)
Created:
2017-05-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The classic and pioneering work of Nirenberg, in collaboration withGidas and Ni, on symmetries of solutions of partial differential equationshas generated enormous research activities, and the method of moving planes hasbecome a powerful and user-friendly tool in the study of partial differentialequations. In this talk, we will discuss some anal...
Creator:
Li, Yanyan (Rutgers, The State University of New Jersey)
Created:
2015-11-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cells in vivo can reside in diverse physical and biochemical environments. For example, epithelial cells typically live in a two-dimensional (2D) environment while metastatic cancer cells can move through dense three-dimensional (3D) matrices. These distinct environments impose different kinds of mechanical forces on cells, and thus potentially ...
Creator:
Li, Yizeng (Johns Hopkins University)
Created:
2018-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cartographic Details: Scale approximately 1:8,500,000 (E 600--E 1010/N 350--N 70)."XLIX" appears in upper left corner. From: The Edinburgh geographical and historical atlas, 1831.
Creator:
Lizars, Daniel, 1760-1812
Created:
1831
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.