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math.AP2023★ 11 cited
Fractional Dissipative PDEs
Franz Achleitner, Goro Akagi, Christian Kuehn +4
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics. The class of PDEs we…
math.AP2023
The stability of smooth solitary waves for the -family of Camassa-Holm equations
Ji Li, Changjian Liu, Teng Long +1
The -family of Camassa-Holm (-CH) equation is a one-parameter family of PDEs, which includes the completely integrable Camassa-Holm and Degasperis-Procesi equations but posse…
math.DS2023
Rotating convection and flows with horizontal kinetic energy backscatter
Paul Holst, Jens D. M. Rademacher, Jichen Yang
Numerical simulations of large scale geophysical flows typically require unphysically strong dissipation for numerical stability. Towards energetic balance various schemes have bee…