"Nano-science and nano-technology are rapidly developing scientific and technological areas that deal with physical, chemical and biological processes that occur on nano-meter scale – one millionth of a millimeter. Self-organization and pattern formation play crucial role on nano-scales and promise new, effective routes to control various nano-scales processes. This book contains lecture notes written by the lecturers of the NATO Advance ..."
"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 ..."
"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 ..."
"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."
"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, ..."
"... Victor Henner, Tatyana Belozerova, and Alexander Nepomnyashchy https://www.crcpress.com/Textbooks-in-Mathematics/book-series/CANDHTEXBOOMTH Equations Analytical Methods and Applications Victor Henner Tatyana Belozerova Alexander Series ..."
"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 ..."
"... 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 ..."
"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 ..."
"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 ..."