Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Mikhail V. Korobkov"'
Autor:
Mikhail V. Korobkov, Xiao Ren
Publikováno v:
Archive for Rational Mechanics and Analysis. 240:1487-1519
We study the exterior problem for stationary Navier–Stokes equations in two dimensions describing a viscous incompressible fluid flowing past an obstacle. It is shown that, at small Reynolds numbers, the classical solutions constructed by Finn and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2b20c0a0b7c6e5babbcb466d9f577f3
https://doi.org/10.1007/s00205-021-01640-9
https://doi.org/10.1007/s00205-021-01640-9
Publikováno v:
Journal of Differential Equations. 269:1796-1828
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 unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfb5e7b1fcfa576178511da2f0a824b7
https://doi.org/10.1016/j.jde.2020.01.012
https://doi.org/10.1016/j.jde.2020.01.012
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 139:1-34
The classical Morse–Sard theorem claims that for a mapping v : R n → R m + 1 of class C k the measure of critical values v ( Z v , m ) is zero under condition k ≥ n − m . Here the critical set, or m-critical set is defined as Z v , m = { x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65a83abbe0a2761571ee79f9911e869c
https://doi.org/10.1016/j.matpur.2020.05.002
https://doi.org/10.1016/j.matpur.2020.05.002
Publikováno v:
Sibirskii matematicheskii zhurnal. 60:1171-1185
Considering regular mappings of Euclidean spaces, we study the distortion of the Hausdorff dimension of a given set under restrictions on the rank of the gradient on the set. This problem was solved for the classical cases of k-smooth and Holder mapp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15db2953c1b8096a6ad6f301e30c27a7
https://doi.org/10.33048/smzh.2019.60.514
https://doi.org/10.33048/smzh.2019.60.514
Publikováno v:
Archive for Rational Mechanics and Analysis. 233:385-407
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7584778dedc84e23793129de7aa7e35
https://doi.org/10.1007/s00205-019-01359-8
https://doi.org/10.1007/s00205-019-01359-8
Autor:
Xiao Ren, Mikhail V. Korobkov
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::919f49d2812eb93fbdcd8b5c177b5608
A Simple Proof of Regularity of Steady-State Distributional Solutions to the Navier–Stokes Equations
Publikováno v:
Journal of Mathematical Fluid Mechanics. 22
It is proved that a distributional solution u to the stationary Navier–Stokes equations in a bounded domain $$\Omega $$ of $${\mathbb R}^n$$ $$(n>2)$$ is regular, provided its norm in the weak- $$L^n(\Omega )$$ space is small.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ef4ff0d28d6741f3834975c1e6bb65
https://doi.org/10.1007/s00021-020-00517-3
https://doi.org/10.1007/s00021-020-00517-3
Publikováno v:
Calculus of Variations and Partial Differential Equations. 59
Most methods of numerical simulation require a truncation of an infinite domain to a bounded one, thereby introducing artificial boundaries. We prove existence of weak solutions to the stationary Navier–Stokes equations, simulating the steady flow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b3623f9bceb9c4fe91a7e81d92ce264
https://doi.org/10.1007/s00526-019-1688-8
https://doi.org/10.1007/s00526-019-1688-8
Publikováno v:
Anal. PDE 12, no. 5 (2019), 1149-1175
We say that a mapping [math] satisfies the [math] - [math] -property if [math] whenever [math] , where [math] means the Hausdorff measure. We prove that every mapping [math] of Sobolev class [math] with [math] satisfies the [math] - [math] -property
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf09de5714ccd3ee47b0e19cfffebc1e
https://hdl.handle.net/11591/400558
https://hdl.handle.net/11591/400558
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 co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78e8dd877f2a5195248ab4944efbba1c