Analysis of fluid flows



Invited articles:
abstract download D.E. Pelinovsky, Normal form for transverse instability of the line soliton with a nearly critical speed of propagation, Mathematical modeling of natural phenomena accepted, (2018)
abstract download D.E. Pelinovsky, A.R. Giniyatullin, and Y.A. Panfilova, On solutions of a reduced model for the dynamical evolution of contact lines, Transactions of Nizhni Novgorod State Technical University n.a. Alexeev N.4 (94), 45-60 (2012)
download download G. Biondini and D. Pelinovsky, Kadomtsev-Petviashvili equation, Scholarpedia 3(10): 6539 (2008)
abstract download R.H.J. Grimshaw, L.A. Ostrovsky, and D. Pelinovsky, Solitons in nonintegrable systems, Chaos 15, 037101 (2005)





Regular articles:
abstract download J.M. Foster and D.E. Pelinovsky, Self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption, SIAM Journal of Applied Dynamical Systems 15, 2017-2050 (2016)
abstract download D.E. Pelinovsky and C. Xu, On numerical modelling and the blow-up behavior of contact lines with a 180-degree contact angle, Journal of Engineering Mathematics 92, 31-44 (2015)
abstract download K.R. Khusnutdinova, K.R. Moore, and D.E. Pelinovsky, Validity of the weakly-nonlinear solution of the Cauchy problem for the Boussinesq-type equation, Studies in Applied Mathematics 133, 52-83 (2014)
abstract download download Russian D.E. Pelinovsky, E.A. Rouvinskaya, O.E. Kurkina, and B. Deconinck, Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrodinger equation, Theoretical Mathematical Physics 179, 452-461 (2014)
abstract download download D. Pelinovsky, E. Pelinovsky, E. Kartashova, T. Talipova, and A. Giniyatulin, Universal power law for the energy spectrum of breaking Riemann waves, JETP Letters 98, 237-241 (2013)
abstract download download D.E. Pelinovsky and A.R. Giniyatullin, Finite-time singularities in the dynamical evolution of contact lines, Bulletin of the Moscow State Regional University (Physics and Mathematics) 2012 N.3, 14-24 (2012)
abstract download D. Pelinovsky, Enstrophy growth in the viscous Burgers equation, Dynamics of Partial Differential Equations 9, 305-340 (2012)
abstract download D. Pelinovsky, Sharp bounds on enstrophy growth in the viscous Burgers equation, Proceedings of Royal Society A 468, 36363648 (2012)
abstract download I. Didenkulova, D.E. Pelinovsky, D. Tyugin, A. Giniyatullin, and E.N. Pelinovsky, Travelling long waves in water rectangular channels of variable cross section, Bulletin of the Moscow State Regional University 2012 N.5, 89-93 (2012)
abstract download O.N. Kirillov, D.E. Pelinovsky, and G. Schneider, Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows, Physical Review E 84, 065301(R) (4 pages) (2011)
abstract download D. Badali, M. Chugunova, D.E. Pelinovsky, and S. Pollack, Regularized shock solutions in coating flows with small surface tension, Physics of Fluids 23, 093103 (8 pp) (2011)
abstract download R. Grimshaw, D. Pelinovsky, and E. Pelinovsky, Homogenization of the variable-speed wave equation, Wave Motion 47, 496-507 (2010)
abstract download R. Ibragimov and D. Pelinovsky, Effects of rotation on stability of viscous stationary flows on a spherical surface, Physics of Fluids 22, 126602 (10 pages) (2010)
abstract download R.N. Ibragimov and D.E. Pelinovsky, Incompressible viscous fluid flows in a thin spherical shell, Journal of Mathematical Fluid Mechanics 11, 60-90 (2009)
abstract download R.N. Ibragimov and D.E. Pelinovsky, Three-dimensional gravity waves in a channel of variable depth, Communications in Nonlinear Science and Numerical Simulation 13, 2104-2113 (2008)
abstract download M. Chugunova and D. Pelinovsky, Spectrum of a non-self-adjoint operator associated with the periodic heat equation, Journal of Mathematical Analysis and its Applications, 342, 970-988 (2008)
abstract download B. Deconinck, D. Pelinovsky, and J.D. Carter, Transverse instabilities of deep-water solitary waves, Proceedings of the Royal Society A 462, 2039-2061 (2006)
abstract download K.R. Khusnutdinova and D.E. Pelinovsky, On the Exchange of Energy in Coupled Klein-Gordon Equations, Wave Motion 38 1-10 (2003)
abstract download R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and A. Slunyaev, Generation of Large-Amplitude Solitons in the Extended Korteweg-de Vries Equation, Chaos 12, 1070-1076 (2002)
abstract download R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and T. Talipova, Wave Group Dynamics in Weakly Nonlinear Long-Wave Models, Physica D 159, 35-57 (2001)
abstract download V.V. Voronovich, D.E. Pelinovsky, and V.I. Shrira, On the Internal Wave - Shear Flow Resonance in Shallow Water, J. Fluid Mech. 354, 209-237 (1998)
abstract download D.E. Pelinovsky and R.H.J. Grimshaw, Instability Analysis of Internal Solitary Waves in a Nearly Uniformly Stratified Fluid, Phys. Fluids A 9, 3343-3352 (1997)
abstract download D.E. Pelinovsky and R.H.J. Grimshaw, An Asymptotic Approach to Solitary Wave Instability and Critical Collapse in Long-Wave KdV-Type Evolution Equations, Physica D 98, 139-155 (1996)
abstract download A.S. Fokas, R.H.J. Grimshaw, and D.E. Pelinovsky, On the Asymptotic Integrability of a Higher-Order Evolution Equation Describing Internal Waves in a Deep Fluid, J.Math.Phys. 37, 3415-3421 (1996)
abstract download D.E. Pelinovsky and R.H.J. Grimshaw, Nonlocal Models for Envelope Waves in a Stratified Fluid, Stud. Appl. Math. 97, 369-391 (1996)
abstract download D.Pelinovsky, Intermediate Nonlinear Schrodinger Equation for Internal Waves in a Fluid of Finite Depth, Phys. Lett. A 197, 401-406 (1995)
abstract download D.E. Pelinovsky and V.I. Shrira, Collapse Transformation for Self-Focusing Solitary Waves in Boundary-Layer Type Shear Flows, Phys.Lett.A 206, 195-202 (1995)
abstract download K.A. Gorshkov and D.E. Pelinovsky, Asymptotic Theory of Plane Soliton Self-Focusing in Two-Dimensional Wave Media, Physica D 85, 468-484 (1995)
abstract download K.A. Gorshkov and D.E. Pelinovsky, On a Wave Field Transformation Described by the Two-Dimensional Kadomtsev-Petviashvili Equation, Inverse Problems 11, 603-610 (1995)
abstract download D. Pelinovsky, Instability and Decay of Solitary Waves in the Davey-Stewartson I System, Phys. Lett. A 196, 181-186 (1994)
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D.E. Pelinovsky and Yu.A. Stepanyants, Self-Focusing Instability of Nonlinear Plane Waves in Shear Flows, JETP 78, 883-891 (1994)
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D.E. Pelinovsky and Yu.A. Stepanyants, Solitary Wave Instability in the Positive-Dispersion Media Described by the Two-Dimensional Boussinesq Equations, JETP 79, 105-112 (1994)
no abstract download K.A. Gorshkov, D.E. Pelinovsky, and Yu.A. Stepanyants, Normal and Anomalous Scattering, Formation and Decay of Bound States of Two-Dimensional Solitons Described by the Kadomtsev-Petviashvili Equation, JETF 77, 237-245 (1993)
no abstract download D.E. Pelinovsky and Yu.A. Stepanyants, Self-Focusing instability of Plane Solitons and Chains of Two-Dimensional Solitons in Positive-Dispersion Media, JETF 77, 602-608 (1993)





Proceedings papers:
abstract download D.E. Pelinovsky, A Mysterious Threshold for Transverse Instability of Deep-Water Solitons, Mathematics and Computers in Simulations 55, 585-594 (2001)