"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 ..."
"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 ..."
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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
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"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, ..."
"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 ..."
Ordinary Differential Equations by Victor Henner Hardcover, 618 Pages, Published 2023 by Berlin Springer International Publishing Springer Jun 2023 ISBN-13: 978-3-031-25129-0, ISBN: 3-031-25129-6