(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
This volume contains the proceedings of the BIRS Workshop Topics in Multiple Time Scale Dynamics, held from November 27- December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics...Lasīt vairāk
This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scal...Lasīt vairāk
This book provides a comprehensive exploration of the theory of summability of formal power series with analytic coefficients at the origin of Cn, aiming to apply it to formal solutions of partial differential equations (PDEs). It offers three cha...Lasīt vairāk
(Izdošanas datums: 02-May-2024, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811290435)
The primary focus of the book is to explore the asymptotic behavior of problems formulated within cylindrical structures. Various physical applications are discussed, with certain topics such as fluid flows in channels being particularly noteworthy....Lasīt vairāk
A series of papers focusing on the mathematical and computational modeling and analysis of some real-life phenomena in the natural and engineering sciences....Lasīt vairāk
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Lasīt vairāk
The book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics. Presenting original solutions to common issues, it builds upon years of research to demonstrate the benefits of implementing asy...Lasīt vairāk
Spiral waves are striking self-organized coherent structures that organize spatiotemporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual approach to various properties of spiral waves. Rather than studyin...Lasīt vairāk
Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potenti...Lasīt vairāk
This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale...Lasīt vairāk
This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book buil...Lasīt vairāk
Covers developments in control theory and inverse problems, including the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, a...Lasīt vairāk
(Izdošanas datums: 23-Mar-2020, Hardback, Izdevniecība: Mathematical Society of Japan, ISBN-13: 9784864970815)
In 18 papers from an international conference in Toyonaka, Japan during September 2014, pure mathematicians explore asymptotic analysis for nonlinear dispersive and wave equations. Their topics include the sharp lower bound of the lifespan of sol...Lasīt vairāk
(Izdošanas datums: 30-Sep-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470443665)
Dyatlov and Zworski provide a broad introduction to the theory of scattering resonances, which appear in many branches of mathematics, physics, and engineering. They focus on mathematical techniques for studying scattering resonances, concentrati...Lasīt vairāk
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical m...Lasīt vairāk
