2 papers
math.AP2025
Self-similar algebraic spiral solution of 2-D incompressible Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
In this paper, we prove the existence of self-similar algebraic spiral solutions for 2-D incompressible Euler equations for the initial vorticity of the form $|y|^{-\frac1μ}\ \mat…
math.AP2024
Convergence rates in the nonrelativistic limit of the cubic Klein-Gordon equation
Weizhu Bao, Yong Lu, Zhifei Zhang
In this paper, we study the nonrelativistic limit of the cubic nonlinear Klein-Gordon equation in with a small parameter , which is inversely…