The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations. Nonlinear partial differential equa...Lasīt vairāk
This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations with solutions. The book concerns first-, second-, third-, fourth-, and higher-order nonlinear PDEs and systems of coupl...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
A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties...Lasīt vairāk
Tristan Buckmaster, Nader Masmoudi, Matthew Novack, Vlad Vicol
Sērija : Annals of Mathematics Studies
(Izdošanas datums: 11-Jul-2023, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691249551)
A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties...Lasīt vairāk
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically establis...Lasīt vairāk
(Izdošanas datums: 30-Dec-2021, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611976601)
Uecker considers solution branches and bifurcation in nonlinear partial differential equations as models from science (and some economics). Given a nonlinear partial differential equation, he asks four questions: whether (locally unique) solution...Lasīt vairāk
Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations presents in comprehensive detail numerical solution to boundary value problems of a number of non-linear differential equations. Numerical solutions have been presen...Lasīt vairāk
Godin studies two-dimensional compressible Euler flow in bounded impermeable domains with a boundary that is smooth except for corners. Assuming that the angles of the corners are small enough, he obtains local (in time) existence of solutions th...Lasīt vairāk
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically establis...Lasīt vairāk
Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the soluti...Lasīt vairāk
In this memoir, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation--...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
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators...Lasīt vairāk
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. T...Lasīt vairāk
(Izdošanas datums: 30-Mar-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470428570)
Classical solutions to quasilinear hyperbolic partial differential equations generated by smooth initial conditions can develop singularities in finite time, says Speck, and he looks here at the best known type of such singularities, shocks. He f...Lasīt vairāk
