2 papers
math.AP2022
The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance
Xiuqing Chen, Ansgar Jüngel, Lei Wang
The existence of global weak solutions to the cross-diffusion model of Shigesada, Kawasaki, and Teramoto for an arbitrary number of species is proved. The model consists of strongl…
math.NA2021
A hybrid physics-informed neural network for nonlinear partial differential equation
Chunyue Lv, Lei Wang, Chenming Xie
The recently developed physics-informed machine learning has made great progress for solving nonlinear partial differential equations (PDEs), however, it may fail to provide reason…