Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Dai, Mimi"'
Autor:
Dai, Mimi
We consider the electron magnetohydrodynamics (MHD) in the context where the 3D magnetic field depends only on the two horizontal plane variables. Initial data is constructed in the Sobolev space $H^\beta$ with $3<\beta<4$ such that the solution to t
Externí odkaz:
http://arxiv.org/abs/2411.00120
Autor:
Dai, Mimi, Oh, Sung-Jin
We show that regular solutions to electron-MHD with resistivity can be continued as long as the time integral of the supremum of the current gradient remains finite. This dimensionless continuation criterion is analogous to the celebrated result of B
Externí odkaz:
http://arxiv.org/abs/2407.04314
We construct non-trivial weak solutions $\theta\in C_t^0C_x^{0-}$ to the surface quasi-geostrophic (SQG) equations, which have compact support in time and, thus, violate the conservation of the Hamiltonian. The result is sharp in view of the fact tha
Externí odkaz:
http://arxiv.org/abs/2407.02582
Autor:
Dai, Mimi
We consider the electron magnetohydrodynamics (MHD) equation on the 3D torus $\mathbb T^3$. For a given smooth vector field $H$ with zero mean and zero divergence, we can construct a weak solution $B$ to the electron MHD in the space $L^\gamma_tW^{1,
Externí odkaz:
http://arxiv.org/abs/2405.14127
We study several types of self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity, including locally self-similar solutions and pseudo-self-similar solutions. We show that under certain conditions, these types of self-s
Externí odkaz:
http://arxiv.org/abs/2405.00324
We study a class of active scalar equations with even non-local operator in the drift term. Non-trivial stationary weak solutions in the space $C^{0-}$ are constructed using the iterative convex integration approach.
Externí odkaz:
http://arxiv.org/abs/2403.16800
Autor:
Dai, Mimi, Friedlander, Susan
We consider forced active scalar equations with even and homogeneous degree 0 drift operator on $\mathbb T^d$. Inspired by the non-uniqueness construction for dyadic fluid models, by implementing a sum-difference convex integration scheme we obtain n
Externí odkaz:
http://arxiv.org/abs/2311.06064
Autor:
Dai, Mimi, Peng, Qirui
We construct non-unique weak solutions $\theta\in C_t^0C_x^{0-}$ for forced surface quasi-geostrophic (SQG) equation. This is achieved through a convex integration scheme adapted to the sum-difference system of two distinct solutions. Without externa
Externí odkaz:
http://arxiv.org/abs/2310.13537
Autor:
Dai, Mimi
We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which has a rich family of steady states. In an anisotropic resistivity context, we show global in time existence of small smooth solution near a shear type steady state. C
Externí odkaz:
http://arxiv.org/abs/2306.13036
We study a stochastic dyadic model with both forward and backward energy cascade mechanisms for the inviscid and non-resistive magnetohydrodynamics. For a particular class of stochastic forcing, we show weak uniqueness for the stochastic system. Howe
Externí odkaz:
http://arxiv.org/abs/2306.10909