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Articles (14) More info
1 |
Plotnikov P.I.
, Toland J.F.
Refinement of Hélein’s conjecture on boundedness of conformal factors when n = 3 Annali di Matematica Pura ed Applicata (1923 -). 2023. DOI: 10.1007/s10231-023-01302-5 WOS Scopus РИНЦ OpenAlex |
2 |
Plotnikov P.I.
, Sokolowski J.
Geometric Aspects of Shape Optimization The Journal of Geometric Analysis. 2023. V.33. N7. DOI: 10.1007/s12220-023-01252-7 WOS Scopus РИНЦ OpenAlex |
3 |
Plotnikov P.I.
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case Journal of Mathematical Fluid Mechanics. 2023. V.25. N3. DOI: 10.1007/s00021-023-00786-8 WOS Scopus РИНЦ OpenAlex |
4 |
Plotnikov P.I.
, Sokolovskii Y.
GRADIENT FLOW FOR KOHN-VOGELIUS FUNCTIONAL Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2023. V.20. N1. P.524-579. DOI: 10.33048/semi.2023.20.032 WOS Scopus РИНЦ |
5 |
П. И. Плотников
, Jan Sokołowski
Gradient Flows in Shape Optimization Theory Doklady Mathematics. 2023. N108. P.387–391. DOI: 10.1134/s1064562423700990 WOS Scopus РИНЦ OpenAlex |
6 |
Plotnikov P.I.
Modeling the Isotropic Growth of an Incompressible Neo-Hookean Material Journal of Applied and Industrial Mathematics. 2021. V.15. N4. P.647-657. DOI: 10.1134/s1990478921040086 Scopus РИНЦ OpenAlex |
7 |
Plotnikov P.I.
Mathematical Modeling of Neo-Hookean Material Growth Doklady Mathematics. 2021. V.104. N3. P.380-384. DOI: 10.1134/s1064562421060144 WOS Scopus РИНЦ OpenAlex |
8 |
Plotnikov P.I.
Concentrations Problem for Solutions to Compressible Navier–Stokes Equations Doklady Mathematics. 2020. V.102. N3. P.493-496. DOI: 10.1134/s1064562420060149 WOS Scopus РИНЦ OpenAlex |
9 |
Plotnikov P.I.
, Sokołowski J.
Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas Proceedings of the Steklov Institute of Mathematics. 2020. V.310. N1. P.220-249. DOI: 10.1134/s0081543820050181 WOS Scopus РИНЦ OpenAlex |
10 |
Mamatyukov M.Y.
, Khe A.K.
, Parshin D.V.
, Plotnikov P.I.
, Chupakhin A.P.
On the Energy of a Hydroelastic System: Blood Flow in an Artery with a Cerebral Aneurysm Journal of Applied Mechanics and Technical Physics. 2019. V.60. N6. P.977-988. DOI: 10.1134/s0021894419060014 WOS Scopus РИНЦ OpenAlex |
11 |
Plotnikov P.I.
, Sokołowski J.
Boundary Control of the Motion of a Heavy Piston in Viscous Gas SIAM Journal on Control and Optimization. 2019. V.57. N5. P.3166-3192. DOI: 10.1137/18m1180918 WOS Scopus РИНЦ OpenAlex |
12 |
Ganghoffer J.F.
, Plotnikov P.I.
, Sokolowski J.
Nonconvex Model of Material Growth: Mathematical Theory Archive for Rational Mechanics and Analysis. 2018. V.230. N3. P.839-910. DOI: 10.1007/s00205-018-1259-8 WOS Scopus РИНЦ OpenAlex |
13 |
Plotnikov P.I.
, Toland J.F.
Variational problems in the theory of hydroelastic waves Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018. V.376. N2129. P.20170343. DOI: 10.1098/rsta.2017.0343 WOS Scopus РИНЦ OpenAlex |
14 |
Plotnikov P.I.
, Weigant W.
Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases Monography chapter Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. 2018. – C.1601-1671. DOI: 10.1007/978-3-319-13344-7_75 Scopus РИНЦ OpenAlex |