Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as del...Lasīt vairāk
This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19-20, 2022. Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, equivariant cohomology was broa...Lasīt vairāk
This book represents the outcome of the cross-fertilization of nonlinear functional analysis and mathematical modelling, demonstrating its application to solid and contact mechanics. This book illustrates the use of various functional methods in t...Lasīt vairāk
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm,...Lasīt vairāk
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth and establish the existence and linear stability of small amplitude, quasi-periodic in time, traveling waves, providing the first existence result...Lasīt vairāk
This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this bo...Lasīt vairāk
Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Lasīt vairāk
(Izdošanas datums: 01-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470475253)
It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian...Lasīt vairāk
Marco Cirant, F. Reese Harvey, H. Blaine Lawson, Kevin R. Payne
Sērija : Annals of Mathematics Studies
(Izdošanas datums: 03-Oct-2023, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691243610)
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. In recent years, there has evolved a symbiotic and productive relationship between fully nonlinear...Lasīt vairāk
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between...Lasīt vairāk
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-NavierStokes equations describing the motion of an inc...Lasīt vairāk
This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this bo...Lasīt vairāk
The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnacks inequalities and nonlinear operators. These papers are part of the contribution...Lasīt vairāk
This work is intended as a primer on the theory of persistence modules and their interactions with pure mathematics. The book describes applications of persistence in symplectic topology and embedding problems, in addition to applications to metr...Lasīt vairāk
The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnacks inequalities and nonlinear operators. These papers are part of the contribution...Lasīt vairāk
Berti and Montalto prove the existence and linear stability of small amplitude time quasi-periodic standing wave solutions (that is, periodic and even in the space variable x) of a two-dimensional ocean with infinite depth under the action of gra...Lasīt vairāk
Nikolay Sidorov, Denis Sidorov, Alexander V Sinitsyn
Sērija : World Scientific Series on Nonlinear Science Series A
(Izdošanas datums: 27-Mar-2020, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811213748)
This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including VlasovMaxwell, Fredholm, LyapunovSchmidt branching equations to name a few. This book will bridge the gap in the conside...Lasīt vairāk
Sērija : Series On Analysis, Applications And Computation
(Izdošanas datums: 09-Jan-2019, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813271609)
This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, FornbergWhitham equation, Va...Lasīt vairāk
