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

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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…

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

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 $C^{1/3 - ε}$