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Статьи (24)

# Публикация
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
В сборнике 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

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