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1
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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
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2
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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.
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3
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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
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4
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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
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5
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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
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6
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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
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7
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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
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8
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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
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9
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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
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10
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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
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11
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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
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12
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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
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13
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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
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14
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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
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15
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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
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16
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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
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17
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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
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18
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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
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19
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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
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20
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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
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