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Books by Alexander Nepomnyashchy






Partial Differential Equations(1st Edition)
Analytical Methods and Applications (Textbooks in Mathematics)
by Victor Henner, Tatyana Belozerova, Alexander Nepomnyashchy
Hardcover, 392 Pages, Published 2019 by Chapman And Hall/Crc
ISBN-13: 978-1-138-33983-5, ISBN: 1-138-33983-0

"Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills. The presentation is c ..."






Longwave Instabilities and Patterns in Fluids(Reprint)
by Alexander Nepomnyashchy, Sergey Shklyaev
Paperback, 472 Pages, Published 2019 by Birkhäuser
ISBN-13: 978-1-4939-8529-6, ISBN: 1-4939-8529-9






Longwave Instabilities and Patterns in Fluids(1st Edition)
(Advances in Mathematical Fluid Mechanics)
by Alexander Nepomnyashchy, Sergey Shklyaev
Hardcover, 456 Pages, Published 2017 by Birkhäuser
ISBN-13: 978-1-4939-7588-4, ISBN: 1-4939-7588-9

"This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The te ..."






Interfacial Convection in Multilayer Systems(2nd Edition)
(Applied Mathematical Sciences)
by Ilya B. Simanovskii, Alexander Nepomnyashchy, Jean Claude Legros
Hardcover, 498 Pages, Published 2011 by Springer
ISBN-13: 978-0-387-87713-6, ISBN: 0-387-87713-4

"Ramon M. L., Maza D. M., Mancini H. L., 1999, Patterns in small aspect ratio Benard-Marangoni convection, Phys. Rev. E 60, 4193–4198. ... Rasenat S., Busse F. H., Rehberg I., 1989, A theoretical and experimental study of double- layer convection, J. Fluid Mech. 199, 519–540. Ratke L., Walter H., Feuerbacher B. (editors), 1989, Material and Fluid under Low Gravity, Springer-Verlag, Berlin. Ratulowski J."






Interfacial Convection in Multilayer Systems(1st Edition)
(Springer Monographs in Mathematics)
by Alexander Nepomnyashchy, Ilya B. Simanovskii, Jean Claude Legros, Aleksandr Abovich Nepomni︠a︡shchiĭ
Hardcover, 317 Pages, Published 2006 by Springer
ISBN-13: 978-0-387-22194-6, ISBN: 0-387-22194-8

"This book contains a systematic investigation of the convection in systems with interfaces. For the first time, it classifies all of the known types of convective instabilities in such systems, and discusses the peculiarities of multilayer systems. The book provides an overview of the wide variety of steady and oscillatory patterns, waves, and other dynamic phenomena characteristic for multilayer fluid systems. Various physical effects, ..."






Longwave Instabilities and Patterns in Fluids
by Sergey Shklyaev, Alexander Nepomnyashchy
456 Pages, Published 2017 by Springer
ISBN-13: 978-1-4939-7590-7, ISBN: 1-4939-7590-0

"Sergey Shklyaev, Alexander Nepomnyashchy. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. B.J. Matkowsky, V.A. Volpert, Physica D 54, 203 (1992) J. Pelaez, SIAM J. Appl. Math. 47,781 (1987) A.A. Golovin, B.J. Matkowsky, A. Bayliss, A.A. Nepomnyashchy, Physica D 129, 253 (1999) A.A. Golo ..."






Interfacial Phenomena and Convection(1st Edition)
(Monographs and Surveys in Pure and Applied Mathematics)
by Alexander A. Nepomnyashchy, Manuel G. Velarde, Pierre Colinet
Paperback, 384 Pages, Published 2019 by Chapman And Hall/Crc
ISBN-13: 978-0-367-39672-5, ISBN: 0-367-39672-6






Springer Monographs in Mathematics Ser.
Interfacial Convection in Multilayer Systems
by Alexander Nepomnyashchy, Ilya Simanovskii, Jean Claude Legros
306 Pages, Published 2006 by Springer Science & Business Media
ISBN-13: 978-0-387-36291-5, ISBN: 0-387-36291-6

"... the motion of the gas is neglected, whereas the heat/mass transfer in the gas is described in a phenomenological way by ... A more accurate approach (the two- layer model) takes into account the physical processes in fluids on both sides of the ... Interfacial convection is a striking phenomenon that takes place any time the interfacial tension is not uniform along ... where it provides a reliable transport mechanism (Sammarco a ..."






Long-Term Landform Evolution
Base for Applied Geomorphology (Springer Series in Physical Environment)
by Alexander Nepomnyashchy, Arno Semmel
Hardcover, Published 2000 by Springer-Verlag
ISBN-13: 978-0-387-50148-2, ISBN: 0-387-50148-7






Partial Differential Equations(1st Edition)
Analytical Methods and Applications
by Henner, Victor, Belozerova, Tatyana, Nepomnyashchy, Alexander
Paperback, 396 Pages, Published 2023 by Chapman And Hall/Crc
ISBN-13: 978-1-03-247508-0, ISBN: 1-03-247508-0






Partial Differential Equations
Analytical Methods and Applications
by Victor Henner, Tatyana Belozerova, Alexander Nepomnyashchy
384 Pages, Published 2019 by Crc Press
ISBN-13: 978-0-429-80442-7, ISBN: 0-429-80442-3

"It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills."






Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems
Proceedings of the NATO Advanced Study Institute, held in St. Etienne de Tinee, ... September 11, 2004 (Nato Science Series II:)
by Alexander A. Golovin, Alexander A. Nepomnyashchy, Aleksandr Abovich Nepomni︠a︡shchiĭ
Hardcover, 327 Pages, Published 2006 by Springer
ISBN-13: 978-1-4020-4353-6, ISBN: 1-4020-4353-8






Interfacial Phenomena and Convection(1st Edition)
by Alexander A. Nepomnyashchy, Manuel García Velarde, Pierre Colinet, Aleksandr Abovich Nepomni︠a︡shchiĭ
Hardcover, 384 Pages, Published 2001 by Chapman And Hall/Crc
ISBN-13: 978-1-58488-256-5, ISBN: 1-58488-256-5






Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems
Proceedings of the NATO Advanced Study Institute, held in St. Etienne de Tinee, ... September 11, 2004 (Nato Science Series II:)
by Alexander A. Golovin, Alexander A. Nepomnyashchy, Aleksandr Abovich Nepomni︠a︡shchiĭ
Paperback, 327 Pages, Published 2006 by Springer
ISBN-13: 978-1-4020-4354-3, ISBN: 1-4020-4354-6






Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems
Proceedings of the NATO Advanced Study Institute, held in St. Etienne de Tinee, France, August 28 - September 11, 2004
by Alexander A. Golovin, Alexander A. Nepomnyashchy, A. A. Nepomniashchii
327 Pages, Published 2006 by Springer
ISBN-13: 978-1-4020-4355-0, ISBN: 1-4020-4355-4

"... pleasant and made them want to return to this wonderful place again. Also, our special thanks go to Dr. Denis Melnikov and Ms Jessica Conway for their invaluable help in translation between French, English and Russian; this was a bridge that helped connect together people from so many different countries. One of the editors and ... the NATO ASI was partially supported by the US National Science Foundation. Lorenz Kramer lecturi ..."






Interfacial Phenomena and Convection
by Alexander A. Nepomnyashchy, Manuel G. Velarde, Pierre Colinet
384 Pages, Published 2001 by Crc Press
ISBN-13: 978-1-4822-9630-3, ISBN: 1-4822-9630-6

"For an hexagonal planform in a semi-space a > 0, -oo 3 y < co, bounded by a rigid wall, a = 0, consider that the ... j = 0, 1, 2 in Eqs (4.70) as Ao = F(a, t), A1 = A2 = G(a, t), where F(a, t) is the complex amplitude of the system of rolls with the ..."






Pattern Formation at Interfaces(2010th Edition)
(CISM International Centre for Mechanical Sciences)
by Pierre Colinet, Alexander Nepomnyashchy, Pierre Alexander
Paperback, 304 Pages, Published 2012 by Springer
ISBN-13: 978-3-7091-1101-7, ISBN: 3-7091-1101-3

"The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of micr ..."






Pattern Formation at Interfaces
(CISM International Centre for Mechanical Sciences)
by Pierre Colinet, Alexander Nepomnyashchy
Hardcover, 304 Pages, Published 2010 by Springer
ISBN-13: 978-3-7091-0124-7, ISBN: 3-7091-0124-7

"The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of micr ..."






CISM International Centre for Mechanical Sciences Ser.
Cism International Centre for Mechanical Sciences : Pattern Formation at Interfaces 513
by Pierre Colinet, Alexander Nepomnyashchy, Giulio Maier, Aleksandr Abovich Nepomnëiìashchiæi
304 Pages, Published 2010 by Springer
ISBN-13: 978-3-7091-0125-4, ISBN: 3-7091-0125-5

"Pierre Colinet, Alexander Nepomnyashchy. been summarized in a ... One can expect development of topological defects and spiral- like waves. aves propagating in different directions interact with each other in a nonlocal way ( Knobloch and De Luca (1990), Matkowsky and Volpert (1992)). e conclude that the investigation of the nonlinear development of oscillatory shortwave instability is a developing field which is beyond the scope of ..."






Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems(2006th Edition)
Proceedings of the NATO Advanced Study Institute, held in St. Etienne de Tinee, ... September 11, 2004 (Nato Science Series II:)
by Alexander A. Golovin, Alexander A. Nepomnyashchy
Paperback, 327 Pages, Published 2014 by Springer
ISBN-13: 978-94-007-8855-8, ISBN: 94-007-8855-X



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