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math.AP2021
Existence and regularity for global solutions including breaking waves from Camassa-Holm and Novikov equations to -family equations
Geng Chen, Yannan Shen, Shihui Zhu
In this paper, we prove the global existence of Hölder continuous solutions for the Cauchy problem of a family of partial differential equations, named as -family equations, whe…
math.NA2021
Spectral computation of low probability tails for the homogeneous Boltzmann equation
John Zweck, Yanping Chen, Matthew J. Goeckner +1
We apply the spectral-Lagrangian method of Gamba and Tharkabhushanam for solving the homogeneous Boltzmann equation to compute the low probability tails of the velocity distributio…