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 techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
The book contains impressive results obtained in the XX-th century and discussion of next challenges of the XXI-st century in understanding of the nanoworld. The main sections of the book are: (1) Physics of Nanostructures, (2) Chemistry of Nanostructures, (3) Nanotechnology, (4) nanostructure Based Devices. Contents: Physics of Nanostructures: Polarons in Quantum Wells (A I Bibik et al.); Screening of Extra Point Charge in a Few Particle Coulomb System (N A Poklonski et al.); Electric Field Effect on Absorption Spectra of an Ensemble of Close-Packed CdSe Nanocrystals (L I Gurinovich et al.); Influence of Surface Phases on Electrical Conductivity of Silicon Surface (D A Tsukanov et al.); Chemistry of Nanostructures: Formation of Ultradisperse Bimetallic Particles by Redox Processes in Aqueous Solutions (Yu A Fedutik et al.); Fast Electrochemical Impedance Spectroscopy for Nanochemistry and Nanophysics (G A Ragoisha & A S Bondarenko); Features of Luminescent Semiconductor Nanowire Array Formation by Electrodeposition into Porous Alumina (S A Gavrilov et al.); Nanotechnology: Massively Parallel Atomic Lines on Silicon Carbide (P Soukiassian); Advancing Magnetic Force Microscopy (I Fedorov et al.); Porous Silicon as a Material for Enhancement of Electron Field Emission (A A Evtukh et al.); Nanostructure Based Devices: A New Multipeak Resonant Tunneling Diode for Signal Processing Application (A N Kholod et al.); Long Term Charge Relaxation in Silicon Single Electron Transistors (A Savin et al.); Resonant Tunneling Through an Array of Quantum Dots Coupled to Superconductors Under the Effect of Magnetic Field (A N Mina); and other papers. Readership: Undergraduates, PhD students and researchers in nanotechnology.
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 techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
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