Zobrazeno 1 - 10
of 249
pro vyhledávání: '"Tohru Ozawa"'
Autor:
Jishan Fan, Tohru Ozawa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24908-24911 (2024)
This paper poses a new question and proves a related result. Particularly, the nonexistence of a nontrivial time-periodic solution to the Navier–Stokes system is proved in a bounded domain in $ \mathbb{R}^2 $.
Externí odkaz:
https://doaj.org/article/7a9a9ec7b69943b79c9b18d82604b571
Autor:
Jishan Fan, Tohru Ozawa
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 17349-17356 (2022)
First, we prove uniform-in-$ \epsilon $ regularity estimates of local strong solutions to the Chern-Simons-Schrödinger equations in $ \mathbb{R}^2 $. Here $ \epsilon $ is the dispersion coefficient. Then we prove the global well-posedness of strong
Externí odkaz:
https://doaj.org/article/0e1bcc5aa8514242a4bdf5ed992c86f0
Autor:
Jishan Fan, Tohru Ozawa
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 16037-16053 (2022)
In this paper, we will use the Banach fixed point theorem to prove the uniform-in-ϵ existence of the compressible full magneto-micropolar system in a bounded smooth domain, where ϵ is the dielectric constant. Consequently, the limit as ϵ→0 can b
Externí odkaz:
https://doaj.org/article/fb4e399fa8f94385a71242c17a4635fe
Autor:
Jishan Fan, Tohru Ozawa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 232,, Pp 1-8 (2017)
In this article we prove the local well-posedness for an Ericksen-Leslie's parabolic-hyperbolic compressible non-isothermal model for nematic liquid crystals with positive initial density.
Externí odkaz:
https://doaj.org/article/9160a285aed245f38cb02d4be71a98d9
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-7 (2017)
Abstract Sharp remainder terms are explicitly given on the standard Hardy inequalities in L p ( R n ) $L^{p}(\mathbb {R}^{n})$ with 1 < p < n $1< p< n$ . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the
Externí odkaz:
https://doaj.org/article/d75744bc0b3544c49c4ab3b0ba5d7de5
Autor:
Gaku Hoshino, Tohru Ozawa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 34,, Pp 1-8 (2016)
We study the Cauchy problem for the cubic hyperbolic Schrodinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalize
Externí odkaz:
https://doaj.org/article/7e9fc4edfdcd4c7491659645a778292d
Autor:
Tohru Ozawa, Jishan Fan
Publikováno v:
Journal of Inequalities and Applications, Vol 2008 (2008)
We prove a regularity criterion ∇À∈L2/3(0,T;BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L2/3(0,T;L∞).
Externí odkaz:
https://doaj.org/article/a6b36210e4fd4b1f89ec5033e1f69881
Autor:
Tohru Ozawa, Kenta Tomioka
Publikováno v:
Asymptotic Analysis. 130:427-437
We study the vanishing dispersion limit of strong solutions to the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimensional domain. We show an explicit representation of limiting profile in terms of the initial data. Moreov
Autor:
Jishan Fan, Tohru Ozawa
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 9:317-324
In this paper, we prove some new L p L^p -estimates of the velocity by the technique of L p L^p -energy method.
Autor:
RYUNOSUKE KUSABA, TOHRU OZAWA
Publikováno v:
Differential Equations & Applications; Aug2023, Vol. 15 Issue 3, p235-268, 34p