Zobrazeno 1 - 10
of 660
pro vyhledávání: '"Yamazaki Kazuo"'
Autor:
Yamazaki, Kazuo
We consider the three-dimensional magnetohydrodynamics system forced by random noise. First, for smooth solutions in the ideal case, the cross helicity remains invariant while the magnetic helicity precisely equals the initial magnetic helicity added
Externí odkaz:
http://arxiv.org/abs/2410.02196
Autor:
Walker, Elliott, Yamazaki, Kazuo
We consider the momentum formulation of the two-dimensional surface quasi-geostrophic equations forced by random noise, of both additive and linear multiplicative types. For any prescribed deterministic function under some conditions, we construct so
Externí odkaz:
http://arxiv.org/abs/2407.00920
Autor:
Yamazaki, Kazuo
The momentum formulation of the surface quasi-geostrophic equations consists of two nonlinear terms, besides the pressure term, one of which cannot be written in a divergence form. When the anti-divergence operator is applied to such nonlinear terms,
Externí odkaz:
http://arxiv.org/abs/2312.15558
Autor:
Yamazaki, Kazuo
We study the two-dimensional magnetohydrodynamics system forced by space-time white noise. Due to a lack of an explicit invariant measure, the approach of Da Prato and Debussche (2002, J. Funct. Anal., \textbf{196}, pp. 180--210) on the Navier-Stokes
Externí odkaz:
http://arxiv.org/abs/2308.09692
We discover cancellations upon $H^{2}(\mathbb{R}^{n})$-estimate of the Hall term for $n \in \{2,3\}$. As its consequence, first, we derive a regularity criterion for the 3-dimensional Hall-magnetohydrodynamics system in terms of only horizontal compo
Externí odkaz:
http://arxiv.org/abs/2302.03636
Autor:
Yamazaki, Kazuo
Via probabilistic convex integration, we prove non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise of additive type. In its proof we work on the equation of the momentum rather than the temperature,
Externí odkaz:
http://arxiv.org/abs/2208.05673
Whether or not the solution to the $2\frac{1}{2}$-dimensional Hall-magnetohydrodynamics system starting from smooth initial data preserves its regularity for all time remains a challenging open problem. Although the research direction on component re
Externí odkaz:
http://arxiv.org/abs/2206.12026
Autor:
Koley, Ujjwal, Yamazaki, Kazuo
Publikováno v:
In Journal of Differential Equations 25 January 2025 416 Part 1:82-142
Autor:
Koley, Ujjwal, Yamazaki, Kazuo
We consider a transport-diffusion equation forced by random noise of three types: additive, linear multiplicative in It$\hat{\mathrm{o}}$'s interpretation, and transport in Stratonovich's interpretation. Via convex integration modified to probabilist
Externí odkaz:
http://arxiv.org/abs/2203.13456