Monographs and Surveys in Pure and Applied Mathematics
Strain Solitons in Solids and How to Construct Them
1st Edition
By Alexander M. Samsonov
December 18, 2020
Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain ...
An Introduction to Linear and Nonlinear Scattering Theory
1st Edition
By G F Roach
September 30, 2020
This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained introduction to linear and nonlinear ...
Impulsive Differential Equations: Periodic Solutions and Applications
1st Edition
By Drumi Bainov, Pavel Simeonov
June 30, 2020
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important ...
Degenerate and Other Problems
1st Edition
By Abduhamid Dzhuraev
December 02, 2019
This Monograph contains a collection of problems arising in partial differential equations investigated by means of complex analysis approached in elementary ways....
Ray Methods for Nonlinear Waves in Fluids and Plasmas
1st Edition
By Marcelo Anile, P Pantano, G Russo, J Hunter
December 02, 2019
Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics....
Transformations, Transmutations, and Kernel Functions, Volume II
1st Edition
By H Begehr
December 02, 2019
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used....
Shock Waves & Explosions
1st Edition
By P.L. Sachdev
October 24, 2019
Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and ...
Nonlinear Differential Equations in Ordered Spaces
1st Edition
By S. Carl, Seppo Heikkila
October 23, 2019
Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit ...
Smooth Homogeneous Structures in Operator Theory
1st Edition
By Daniel Beltita
October 23, 2019
Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. ...
Introduction to Hamiltonian Fluid Dynamics and Stability Theory
1st Edition
By Gordon E Swaters
October 07, 2019
Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and ...
Inverse Boundary Spectral Problems
1st Edition
By Alexander Kachalov, Yaroslav Kurylev, Matti Lassas
September 23, 2019
Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical ...
Mathematical Aspects of Numerical Solution of Hyperbolic Systems
1st Edition
By A.G. Kulikovskii, N.V. Pogorelov, A. Yu. Semenov
September 23, 2019
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such ...