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math.AP2022★ 1 cited
Near Resonant Approximation of the Rotating Stratified Boussinesq system on a 3-Torus
Bin Cheng, Zisis N. Sakellaris
Based on a novel treatment of near resonances, we introduce a new approximation for the rotating stratified Boussinesq system on three-dimensional tori with arbitrary aspect ratios…
math.AP2021★ 1 cited
Near Resonance Approximation of Rotating Navier-Stokes Equations
Bin Cheng, Zisis N. Sakellaris
We formalise the concept of near resonance for the rotating Navier-Stokes equations, based on which we propose a novel way to approximate the original PDE. The spatial domain is a…
math.AP2018
Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces
Christof Melcher, Zisis N. Sakellaris
We establish global existence, uniqueness, regularity and long-time asymptotics of strong solutions to the half-harmonic heat flow and dissipative Landau-Lifshitz equation, valid f…