Calvin Khor

activity

20202026

most citedNonuniqueness of Leray-Hopf solutions to the forced fractional Navier-Stokes Equations in three dimensions, up to the J. L. Lions exponent

2 citations · 2 across the 4 of their papers we have counts for

collaborators

7 papers

math.AP2026

New Bernstein functions and subordination representations for time-nonlocal evolution equations

Calvin Khor, Cheng-Gang Li

This paper establishes subordination representations from multi-term time-fractional differential equations to single-term ones, a direction complementary to the previously known s…

math.AP2023★ 2 cited

Nonuniqueness of Leray-Hopf solutions to the forced fractional Navier-Stokes Equations in three dimensions, up to the J. L. Lions exponent

Calvin Khor, Changxing Miao, Xiaoyan Su

In this paper, we show that for $α \in (1/2, 5/4)$ , there exists a force $f$ and two distinct Leray-Hopf flows $u_{1}, u_{2}$ solving the forced fractional Navier-Stokes equation starting…

math.AP2022

Construction of solutions to the 3D Euler equations with initial data in $H^{β}$ for $β > 0$

Calvin Khor, Changxing Miao

In this paper, we use the method of convex integration to construct infinitely many distributional solutions in $H^{β}$ for $0 < β ≪ 1$ to the initial value problem for the three-dimen…

math.AP2022

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in $C^{1/3 - ε}$

Calvin Khor, Changxing Miao, Weikui Ye

Let $0 < β < β ˉ < 1/3$ . We construct infinitely many distributional solutions in $C_{x, t}^{β}$ to the three-dimensional Euler equations that do not conserve the energy, for a given init…

math.AP2020

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…

math.AP2020

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,…

math.AP2020

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 $u = Λ^{- 1 + α} \nabla^{⊥} θ$ , for $α \in (0, 1)$ . This family of equations is a more singular ve…

New Bernstein functions and subordination representations for time-nonlocal evolution equations

Nonuniqueness of Leray-Hopf solutions to the forced fractional Navier-Stokes Equations in three dimensions, up to the J. L. Lions exponent

Construction of solutions to the 3D Euler equations with initial data in Hβ for β>0

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in C1/3−ε

Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion

Local Existence of Analytic Sharp Fronts for Singular SQG

On Sharp Fronts and Almost-Sharp Fronts for singular SQG

Construction of solutions to the 3D Euler equations with initial data in $H^{β}$ for $β > 0$

Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in $C^{1/3 - ε}$