Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Korobkov, Mikhail"'
Let $p\ge 1$ and let $\mathbf v \colon \mathbb R^d \to \mathbb R^d$ be a compactly supported vector field with $\mathbf v \in L^p(\mathbb R^d)$ and $\operatorname{div} \mathbf v = 0$ (in the sense of distributions). It was conjectured by Nelson that
Externí odkaz:
http://arxiv.org/abs/2411.09338
Autor:
Korobkov, Mikhail, Ren, Xiao
We consider some new estimates for general steady Navier-Stokes solutions in plane domains. According to our main result, if the domain is convex, then the difference between mean values of the velocity over two concentric circles is bounded (up to a
Externí odkaz:
http://arxiv.org/abs/2405.17884
A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces embedded into the space of continuous function and Hausdorff measures
Externí odkaz:
http://arxiv.org/abs/2208.08152
Publikováno v:
Comm. Math. Phys., 2022
We study the stationary Navier--Stokes equations in the whole plane with a compactly supported force term and with a prescribed constant spatial limit. Prior to this work, existence of solutions to this problem was only known under special symmetry a
Externí odkaz:
http://arxiv.org/abs/2111.11042
Autor:
Korobkov, Mikhail V., Ren, Xiao
In the celebrated paper by Jean Leray, published in JMPA journal in 1933, the invading domains method was proposed to construct D-solutions for the stationary Navier-Stokes flow around obstacle problem. In two dimensions, whether Leray's D-solution a
Externí odkaz:
http://arxiv.org/abs/2105.08898
In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier-Stokes equations in a helically symmetric spatial domain. When data is assumed to be helical invariant and satisfies the compatibility condition, we prove t
Externí odkaz:
http://arxiv.org/abs/2102.13341
We study solutions to the obstacle problem for the stationary Navier--Stokes system in a~two dimensional exterior domain (flow past a prescribed body). We prove that the classical Leray solution to this problem is always nontrivial. No additional con
Externí odkaz:
http://arxiv.org/abs/1911.11546
We study solutions to stationary Navier Stokes system in two dimensional exterior domain. We prove that any such solution with finite Dirichlet integral converges at infinity uniformly. No additional condition (on symmetry or smallness) are assumed.<
Externí odkaz:
http://arxiv.org/abs/1802.04656
We study the boundary value problem for the stationary Navier--Stokes system in two dimensional exterior domain. We prove that any solution of this problem with finite Dirichlet integral is uniformly bounded. Also we prove the existence theorem under
Externí odkaz:
http://arxiv.org/abs/1711.02400
Publikováno v:
Analysis & PDE 12 (2019) 1149-1175
We study Luzin N-property with respect to the Hausdorff measures for Sobolev spaces W^k_p(R^n,R^d). We prove that such N-property holds except for one critical dimensional value t_*=n-(k-1)p; for this critical value the N-property fails in general, a
Externí odkaz:
http://arxiv.org/abs/1706.04796