Korobkov Mikhail Vyacheslavovich

Employee

Science activity

Articles - 24 , Books - 1 , Conference attendances - 6

Articles (24) More info

1	Korobkov M. , Ren X. On Basic Velocity Estimates for the Plane Steady-State Navier–Stokes System and Its Applications Journal of Mathematical Fluid Mechanics. 2025. V.27. N3. 37 :1-17. DOI: 10.1007/s00021-025-00939-x WOS Scopus OpenAlex
2	Ferone A. , Korobkov M.V. , Kristensen J. From the theorems of Morse, Sard, Dubovitskiĭ and Federer to the Luzin N-property: the story so far Pure and Applied Functional Analysis. 2024. V.9. N2. P.441-467.
3	Guillod J. , Korobkov M. , Ren X. Existence and Uniqueness for Plane Stationary Navier–Stokes Flows with Compactly Supported Force Communications in Mathematical Physics. 2023. V.397. N2. P.729-762. DOI: 10.1007/s00220-022-04504-9 WOS Scopus РИНЦ OpenAlex
4	Korobkov M. , Ren X. Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights Journal of Mathematical Fluid Mechanics. 2023. V.25. 55 :1-22. DOI: 10.1007/s00021-023-00792-w WOS Scopus РИНЦ OpenAlex
5	Korobkov M. , Lyu W. , Weng S. On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations SIAM Journal on Mathematical Analysis. 2022. V.54. N3. P.3974-3996. DOI: 10.1137/20m1343324 WOS Scopus РИНЦ OpenAlex
6	Korobkov M. , Ren X. Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle Archive for Rational Mechanics and Analysis. 2021. V.240. N3. P.1487-1519. DOI: 10.1007/s00205-021-01640-9 WOS Scopus OpenAlex
7	Korobkov M. , Ren X. Leray's plane stationary solutions at small Reynolds numbers Journal des Mathematiques Pures et Appliquees. 2021. V.158. P.71-89. DOI: 10.1016/j.matpur.2021.08.010 WOS Scopus OpenAlex
8	Korobkov M.V. , Pileckas K. , Russo R. A Simple Proof of Regularity of Steady-State Distributional Solutions to the Navier–Stokes Equations Journal of Mathematical Fluid Mechanics. 2020. V.22. N4. P.JMFM. DOI: 10.1007/s00021-020-00517-3 WOS Scopus OpenAlex
9	Korobkov M.V. , Pileckas K. , Russo R. Leray's plane steady state solutions are nontrivial Advances in Mathematics. 2020. V.376. P.107451. DOI: 10.1016/j.aim.2020.107451 WOS Scopus OpenAlex
10	Ferone A. , Korobkov M.V. , Roviello A. On some universal Morse–Sard type theorems Journal des Mathematiques Pures et Appliquees. 2020. V.139. P.1-34. DOI: 10.1016/j.matpur.2020.05.002 WOS Scopus OpenAlex
11	Korobkov M.V. , Kristensen J. The Trace Theorem, the Luzin N- and Morse–Sard Properties for the Sharp Case of Sobolev–Lorentz Mappings Journal of Geometric Analysis. 2018. V.28. N3. P.2834-2856. DOI: 10.1007/s12220-017-9936-7 WOS Scopus OpenAlex
12	Korobkov M. , Pileckas K. , Russo R. The existence theorem for the steady Navier–Stokes problem in exterior axially symmetric 3D domains Mathematische Annalen. 2018. V.370. N1-2. P.727-784. DOI: 10.1007/s00208-017-1555-x WOS Scopus OpenAlex
13	Korobkov M.V. , Pileckas K. , Russo R. Leray’s Problem on Existence of Steady-State Solutions for the Navier-Stokes Flow In compilation Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. – Springer International Publishing AG., 2018. – C.249-297. – ISBN 9783319133430. DOI: 10.1007/978-3-319-13344-7_5 Scopus OpenAlex
14	Hajłasz P. , Korobkov M.V. , Kristensen J. A bridge between Dubovitskiĭ–Federer theorems and the coarea formula Journal of Functional Analysis. 2017. V.272. N3. P.1265-1295. DOI: 10.1016/j.jfa.2016.10.031 WOS Scopus OpenAlex
15	Korobkov M. , Tsai T-P. Forward self-similar solutions of the Navier–Stokes equations in the half space Analysis and PDE. 2016. V.9. N8. P.1811-1827. DOI: 10.2140/apde.2016.9.1811 WOS Scopus OpenAlex
16	Korobkov M. , Pileckas K. , Russo R. The existence theorem for steady Navier-Stokes equations in the axially symmetric case Annali della Scuola normale superiore di Pisa - Classe di scienze. 2015. P.233-262. DOI: 10.2422/2036-2145.201204_003 Scopus OpenAlex
17	Korobkov M.V. , Pileckas K. , Pukhnachov V.V. , Russo R. The flux problem for the Navier-Stokes equations Russian Mathematical Surveys. 2015. V.69. N6. P.1065-1122. DOI: 10.1070/rm2014v069n06abeh004928 WOS Scopus OpenAlex
18	Korobkov M. , Pileckas K. , Russo R. The Liouville Theorem for the Steady-State Navier–Stokes Problem for Axially Symmetric 3D Solutions in Absence of Swirl Journal of Mathematical Fluid Mechanics. 2015. V.17. N2. P.287-293. DOI: 10.1007/s00021-015-0202-0 WOS Scopus OpenAlex
19	Korobkov M. , Pileckas K. , Russo R. Solution of Leray's problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains Annals of Mathematics. 2014. P.769-807. DOI: 10.4007/annals.2015.181.2.7 WOS Scopus OpenAlex
20	Korobkov M. , Kristensen J. On the Morse-Sard Theorem for the sharp case of Sobolev mappings Indiana University Mathematics Journal. 2014. V.63. N6. P.1703-1724. DOI: 10.1512/iumj.2014.63.5431 Scopus OpenAlex
21	Bourgain J. , Korobkov M.V. , Kristensen J. On the Morse–Sard property and level sets of Wn,1 Sobolev functions on ℝn Journal fur die Reine und Angewandte Mathematik. 2013. V.2015. N700. P.93-112. DOI: 10.1515/crelle-2013-0002 WOS Scopus OpenAlex
22	Bourgain J. , Korobkov M. , Kristensen J. On the Morse–Sard property and level sets of Sobolev and BV functions Revista Matematica Iberoamericana. 2013. V.29. N1. P.1-23. DOI: 10.4171/rmi/710 WOS Scopus OpenAlex
23	Korobkov M. , Pileckas K. , Russo R. The existence of a solution with finite Dirichlet integral for the steady Navier–Stokes equations in a plane exterior symmetric domain Journal des Mathematiques Pures et Appliquees. 2013. V.101. N3. P.257-274. DOI: 10.1016/j.matpur.2013.06.002 WOS Scopus OpenAlex
24	Korobkov M.V. , Pileckas K. , Russo R. On the Flux Problem in the Theory of Steady Navier–Stokes Equations with Nonhomogeneous Boundary Conditions Archive for Rational Mechanics and Analysis. 2012. V.207. N1. P.185-213. DOI: 10.1007/s00205-012-0563-y WOS Scopus OpenAlex

Books (1) More info

1	Korobkov M. , Pileckas K. , Russo R. The Steady Navier-Stokes System: Basics of the Theory and the Leray Problem Monography, Birkhäuser Cham, in 'Advances in Mathematical Fluid Mechanics' series. Springer Nature, Cham, Switzerland.2024. 285 c. ISBN 978-3-031-50900-1. OpenAlex

Conference attendances (6) More info

1	Korobkov M.V. On Leray problems for steady-state Navier–Stokes system in unbounded domains Международная конференция «Нелокальные и нелинейные задачи» 14-19 Oct 2024
2	Korobkov M.V. Classical Leray Problems on Steady–State Navier–Stokes system: recent advances and new perspectives Discontinuities and Singularities in Nonlinear Evolution PDEs 07-08 Oct 2024
3	Korobkov M.V. "Classical Leray Problems on Steady–State Navier–Stokes system:recent advances and new perspectives" Sino-Russian Interdisciplinary Mathematical Conference 06-10 Nov 2023
4	Korobkov M.V. On Leray Problems for Steady Navier-Stokes System in 2D Bounded and Exterior Domains “International Workshop on the Multi-Phase Flow Analysis, Modeling and Numerics” 19-24 Nov 2019
5	Korobkov M.V. On boundary value problem for steady Navier-Stokes system in 2D exterior domains Oxdord Partial Differential Equations Seminar 14-14 Jan 2019
6	Korobkov M.V. A bridge between Morse-Sard-Dubovitskii-Federer theorems and applications in fluid mechanics The 41st Summer Symposium in Real Analysis (The Wooster -- The Black Squirrel Symposium) 18-24 Jun 2017

Identifiers

ORCID: 0000-0003-3798-3541

Scopus ID: 6701691924

ResearcherID: S-8814-2016

Elibrary ID: 120866

Degrees

2009 - Dr.Sc.

Academic titles

2008 - Associate professor