Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 21.03.1975
Phone: +7 (383) 333 31 99
Fax: +7 (383) 333 16 12
E-mail: ,
Keywords: viscous compressible fluid
UDC: 517.983.23, 517.956.6, 517.983.36, 517.983.53, 517.956.25, 517.952, 517.956.225, 517.956.223, 517.955.2, 517.956.45, 517.957, 517.442, 517.953, 517.95, 517.946, 517.44, 517.5, 517.958
MSC: 35D05, 35D10, 76N10, 35M10, 35M20, 35Q30, 35J05, 35J15, 35J25, 35J55, 35J60, 35J65, 76D05, 35Q35, 35F10, 44A35, 46E30

Subject:

well-posedness of models in hydrodynamics

Main publications:

1. S.V. Golovin, V.I. Isaev, A.N. Baykin, D.S. Kuznetsov, A.E. Mamontov, “Hydraulic fracture numerical model free of explicit tip tracking”, International Journal of Rock Mechanics and Mining Sciences, 76, June (2015), 174–181
2. A.E. Mamontov, D.A. Prokudin, “Viscous compressible multi-fluids: modeling and multi-D existence”, Methods and Applications of Analysis, 20:2 (2013), 179–195
3. A.E. Mamontov, “On the uniqueness of solutions to boundary value problems for non-stationary Euler equations”, New directions in mathematical fluid mechanics, The Alexander V. Kazhikhov Memorial Volume, Advances in Mathematical Fluid Mechanics, Birkhäuser Verlag, Basel, 2009, 281–299
4. A.E. Mamontov, “Global Regularity Estimates for Multidimensional Equations of Compressible Non-Newtonian Fluids”, Annali dellUniversita Di Ferrara (Nuova Serie), Sezione VII, Scienze Matematiche, XLVI (2000), 139–160
5. See also similar Russian list and the list of main publications from the MathNet base

Recent publications

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Organisations:

• Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
• Novosibirsk State University, Mechanics and Mathematics Department