Описание: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Автор: Schiesser, William E. Griffiths, Graham W. Название: A compendium of partial differential equation models : ISBN: 0521519861 ISBN-13(EAN): 9780521519861 Издательство: Cambridge Academ Рейтинг: Цена: 19642.00 р. Наличие на складе: Поставка под заказ.
Описание: Explains numerical methods, and associated computer codes in Matlab, for the solution of a spectrum of models expressed as ordinary and partial differential equations. The authors focus on the well-established method of lines, making the code easy to understand, implement, and modify.
1.Introduction.- 2.Mathematical Preliminaries.- 3.Physical Backgrounds.- 4.Equations with one Space Variable in Cartesian Coordinates.- 5.Equations with one Space Variable in Polar Coordinates.- 6.Equations with one Space Variable in Spherical Coordinates.- 7.Equations with two Space Variables in Cartesian Coordinates.- 8.Equations in Polar Coordinates.- 9.Axisymmetric equations in Cylindrical Coordinates.- 10.Equations with three Space Variables in Cartesian Coordinates.- 11.Equations with three space Variables in Cylindrical Coordinates.- 12.Equations with three space Variables in Spherical Coordinates.- Conclusions.- Appendix: Integrals.- References.
Описание: Examples of Control Systems.- Elementary Functional Analysis.- Finite Dimensional Systems.- Linear Reaction-Convection-Diffusion Equation.- One-dimensional Wave Equation.- Higher-dimensional Wave Equation.
Автор: J.M. Burgers Название: The Nonlinear Diffusion Equation ISBN: 9027704945 ISBN-13(EAN): 9789027704948 Издательство: Springer Рейтинг: Цена: 25848.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1-13 ofthe list given at the end ofthe text were written during that period. A six months stay at the Hydrodynamics Laboratories ofthe California Institute of Technology, Pasadena, California (1950-1951}, was supported by a Contract with the Department of the Air F orce, N o.
Название: Closer look at boundary value problems ISBN: 1536178578 ISBN-13(EAN): 9781536178579 Издательство: Nova Science Рейтинг: Цена: 27402.00 р. Наличие на складе: Невозможна поставка.
Описание: Many problems encountered in applied mathematics or mathematical physics can be modelled by using differential equations under different boundary conditions. In this regard, linear and nonlinear partial differential equations are often used because of their strong capacity to describe and formulate many real-world problems governed by dynamical phenomena. There are many different methods to solve linear and nonlinear problems arising from different studies in various disciplines. However, due to lack of general existence theorems for establishing solutions, scientists have to seek alternative approaches and methods. In this context, the present work demonstrates different methods and approaches to obtain solutions to some class of differential equations given under different boundary conditions. The present book, where contemporary developments in the area of boundary value problems is shared, can be beneficial to advanced undergraduates, graduate students and researchers who are interested in the area of differential equations.
Название: Analysis and Geometry of Markov Diffusion Operators ISBN: 3319002260 ISBN-13(EAN): 9783319002262 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincare, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations.
Автор: Roman Cherniha; Vasyl` Davydovych Название: Nonlinear Reaction-Diffusion Systems ISBN: 3319654659 ISBN-13(EAN): 9783319654652 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications.- 2 Q-conditional symmetries of reaction-diffusion systems.- 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems.- 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems.- A List of reaction-diffusion systems and exact solutions.- Index.
Автор: Claudia Bucur; Enrico Valdinoci Название: Nonlocal Diffusion and Applications ISBN: 3319287389 ISBN-13(EAN): 9783319287386 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrodinger equations are given.
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