3 papers
math.AP2022
Does solitary wave solution persist for the long wave equation with small perturbations?
Hang Zheng, Y-H. Xia
In this paper, persistence of solitary wave solutions of the regularized long wave equation with small perturbations are investigated by the geometric singular perturbation theory.…
math.CA2022
Higher regularity of homeomorphisms in the Hartman-Grobman theorem and a conjecture on its sharpness
Weijie Lu, Manuel Pinto, Y-H Xia
Hartman-Grobman theorem states that there is a homeomorphism H sending the solutions of the nonlinear system onto those of its linearization under suitable assumptions. Many mathem…
quant-ph2019
Geometry Effect on Black Body Radiation with Different Boundary Conditions
Zheng Zhang, Tong Zhao, Y. -H Xia +1
We study the black body radiation in cavities of different geometry with different boundary conditions, and the formulas of energy spectral densities in films and rods are obtained…