4 papers
Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in
Calvin Khor, Changxing Miao, Weikui Ye
Let . We construct infinitely many distributional solutions in to the three-dimensional Euler equations that do not conserve the energy, for a given init…
Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion
Calvin Khor, Xiaojing Xu
In this paper, we prove that temperature patch solutions to the subcritical Boussinesq-Navier-Stokes System with no diffusion preserve the Hölder regularity of their boundary for a…
Local Existence of Analytic Sharp Fronts for Singular SQG
Calvin Khor, José L. Rodrigo
In this paper, we prove local existence and uniqueness of analytic sharp-front solutions to a generalised SQG equation by the use of an abstract Cauchy--Kowalevskaya theorem. Here,…
On Sharp Fronts and Almost-Sharp Fronts for singular SQG
Calvin Khor, José L. Rodrigo
In this paper we consider a family of active scalars with a velocity field given by , for . This family of equations is a more singular ve…