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math.AP2022
Long-time behaviour and stability for quasilinear doubly degenerate parabolic equations of higher order
Jonas Jansen, Christina Lienstromberg, Katerina Nik
We study the long-time behaviour of solutions to quasilinear doubly degenerate parabolic problems of fourth order. The equations model for instance the dynamic behaviour of a non-N…
math.AP2022
A direct construction of a full family of Whitham solitary waves
Mats Ehrnström, Katerina Nik, Christoph Walker
Starting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument…