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math.AP2025
Point Singularities of Solutions to the Stationary Incompressible MHD Equations
Shaoheng Zhang, Kui Wang, Yun Wang
We investigate the point singularity of very weak solutions to the stationary MHD equations. More precisely, assume that the solution $(\mathbf{u},\mathbf…
math.AP2018
Existence of peakons for a cubic generalization of the Camassa-Holm equation
Yun Wang, Lixin Tian
In this paper, we study the following generalized Camassa-Holm equation with both cubic and quadratic nonlinearities: $$ m_{t}+k_{1}(3uu_{x}m+u^2m_{x})+k_{2}(2mu_{x}+m_{x}u)=0, \qu…