Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Khor, Calvin"'
Publikováno v:
Bull. London Math. Soc., 55: 2705-2717 (2023)
In this paper, we show that for $\alpha\in(1/2,5/4)$, there exists a force $f$ and two distinct Leray-Hopf flows $u_1,u_2$ solving the forced fractional Navier-Stokes equation starting from rest. This shows that the J.L. Lions exponent is sharp in th
Externí odkaz:
http://arxiv.org/abs/2306.06358
Autor:
Khor, Calvin, Miao, Changxing
In this paper, we use the method of convex integration to construct infinitely many distributional solutions in $H^{\beta}$ for $0<\beta\ll1$ to the initial value problem for the three-dimensional incompressible Euler equations. We show that if the i
Externí odkaz:
http://arxiv.org/abs/2207.14041
Let $0<\beta<\bar\beta<1/3$. We construct infinitely many distributional solutions in $C^{\beta}_{x,t}$ to the three-dimensional Euler equations that do not conserve the energy, for a given initial data in $C^{\bar\beta}$. We also show that there is
Externí odkaz:
http://arxiv.org/abs/2204.03344
Autor:
Khor, Calvin, Xu, Xiaojing
In this paper, we prove that temperature patch solutions to the subcritical Boussinesq-Navier-Stokes System with no diffusion preserve the H\"older regularity of their boundary for all time, which generalises the previously known result by F. Gancedo
Externí odkaz:
http://arxiv.org/abs/2007.14578
Autor:
Khor, Calvin, Rodrigo, José L.
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, the velocity is determined by $u = |\nabla|^{-2\beta}\nabla^\perp\the
Externí odkaz:
http://arxiv.org/abs/2001.10412
Autor:
Khor, Calvin, Rodrigo, José L.
In this paper we consider a family of active scalars with a velocity field given by $u = \Lambda^{-1+\alpha}\nabla^{\perp} \theta$, for $\alpha \in (0,1)$. This family of equations is a more singular version of the two-dimensional Surface Quasi-Geost
Externí odkaz:
http://arxiv.org/abs/2001.10332
Autor:
Bai, Xiang, Khor, Calvin
Publikováno v:
In Journal of Differential Equations 25 July 2022 326:280-312
Autor:
Khor, Calvin, Xu, Xiaojing
Publikováno v:
In Journal of Functional Analysis 15 July 2022 283(2)
Autor:
Khor, Calvin, Rodrigo, José L.
Publikováno v:
In Journal of Differential Equations 25 March 2021 278:111-145
Autor:
Khor, Calvin1,2 (AUTHOR) calvin_khor@hotmail.com, Xu, Xiaojing2 (AUTHOR) xjxu@bnu.edu.cn
Publikováno v:
Journal of Nonlinear Science. Apr2023, Vol. 33 Issue 2, p1-24. 24p.