Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory.
The book first presents four summability methods used in studying multiple Fourier series: iterated Fejer, Bochner-Riesz, Abel, and Gauss-Weierstrass. It then covers conjugate multiple Fourier series, the analogue of Cantor's uniqueness theorem in two dimensions, surface spherical harmonics, and Schoenberg's theorem. After describing five theorems on periodic solutions of nonlinear PDEs, the text concludes with solutions of stationary Navier-Stokes equations.
Discussing many results and studies from the literature, this book demonstrates the robust power of Fourier analysis in solving seemingly impenetrable nonlinear problems.
Автор: R. M. M. Mattheij Название: Partial Differential Equations ISBN: 0898715946 ISBN-13(EAN): 9780898715941 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 21318.00 р. Наличие на складе: Нет в наличии.
Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.
Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.
Автор: Piero Bassanini; Alan R. Elcrat Название: Theory and Applications of Partial Differential Equations ISBN: 0306456400 ISBN-13(EAN): 9780306456404 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces the basic ideas of the theory of partial differential equations in the context of the three fundamental equations of classical mathematical physics - the wave and heat equations and the Laplace equation. This book deals with the De Giorgi-Nash-Moser theorem and hyperbolic conservation laws in one space variable.
Автор: Boris L. Rozovskii; Richard B. Sowers Название: Stochastic Partial Differential Equations and Their Applications ISBN: 3540552928 ISBN-13(EAN): 9783540552925 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main topics for discussion at the confe-rence were: non-linear SPDE`s and Markov property for randomfields, modern stochastic calculuses, numerical and asympto-tic methods for SPDE`s, applications of SPDE`s with emphasisonnon-linear filtering, stochastic control and statisticalfluid dynamics.
Описание: This book is intended for periodontal residents and practicing periodontists who wish to incorporate the principles of moderate sedation into daily practice. Comprehensive airway management and rescue skills are then documented in detail so that the patient may be properly managed in the event that the sedation progresses beyond the intended level.
Описание: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Автор: Tom?? Roub??ek Название: Nonlinear Partial Differential Equations with Applications ISBN: 3034807686 ISBN-13(EAN): 9783034807685 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The 2nd edition simplifies and extends the exposition and augments applications in thermally coupled systems, magnetism, and more.
Автор: Rassias Themistocles M. Название: Nonlinear Analysis, Differential Equations, and Applications ISBN: 3030725626 ISBN-13(EAN): 9783030725624 Издательство: Springer Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On compound superquadratic functions (Abramovich).- Best Hyers-Ulam stability constants on a time scale with discrete core and continuous periphery (Anderson).- Invariance solutions and blow-up property for edge degenerate pseudo-hyperbolic equations in edge Sobolev spaces (Cattani).- f4 solitons in Kirchhoff wave equation (Papadopoulos).- Estimates for Lipschitz and BMO norms of operators on differential forms (Ding).- Application of boundary perturbations on medical monitoring and imaging techniques (Kalantonis).- Poynting-Robertson and oblateness effects on the equilibrium points of the perturbed R3BP: Application on Cen X-4 binary system (Perdiou).- Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey (Gil).- Dynamics of a higher-order Ginzburg-Landau-type equation (Horikis).- The role of differential equations in applied statistics (Kitsos).- Geometric derivation and analysis of multi-symplectic numerical schemes for differential equations (Vlachos).- Non-radial solutions of a supercritical equation in expanding domains: The limit case (Labropoulos).- Financial contagion in interbank networks: The case of Erdős-Rйnyi network model (Leventides).- Higher order strongly m-convex functions (Noor).- Characterizations of higher order strongly generalized convex functions (Noor).- A note on generalized Nash games played on networks (Raciti).- Piecewise polynomial inversion of the Radon transform in three space dimensions via plane integration and applications in positron emission tomography (Protonotarios).- Factorization and solution of linear and nonlinear second order differential equations with variable coefficients and mixed conditions (Providas).- A General framework for studying certain generalized topologically open sets in relator spaces (Szaz).- Graphical mean curvature flow (Savas-Halilaj).- Critical point theory in infinite dimensional spaces using the Leray-Schauder index (Schechter).- Canonical systems of partial differential equations (Schechter).- The Semi-Discrete Method for the approximation of the solution of stochastic differential equations (Stamatiou).- Homotopic metric-interval L-contractions in gauge spaces (Turinici).- Analytic methods in Rhoades contractions theory (Turinici).- Nonlinear dynamics of the KdV-B equation and its biomedical applications (Xenos).
Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Автор: M.R. Grossinho; M. Ramos; C. Rebelo; L. Sanchez Название: Nonlinear Analysis and its Applications to Differential Equations ISBN: 1461266548 ISBN-13(EAN): 9781461266549 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica
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