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Emerging Topics on Differential Equations and Their Applications - Proceedings on Sino-Japan Conference of Young Mathematicians
by Long, Yiming    Chen, Hua    Nishiura, Yasumasa
(Hardcover - English - 9789814449748)
The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems. ..
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Partial Differential Equations: Methods, Applications and Theories
by Hattori, Harumi       
(Hardcover - English - 9789814407564)
This volume is an introductory level textbook for partial differential equations (PDE's) and suitable for a one-semester undergraduate level or two-semester graduate level course in PDE's or applied mathematics. Chapters One to Five are organized according to the equations and the basic PDE's are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling a ..
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Rp. 1.892.000
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Variational Problems with Concentration
by Bach, Martin F.       
(Paperback - English - 9783034897297)
To start with we describe two applications of the theory to be developed in this monograph: Bernoulli's free-boundary problem and the plasma problem. Bernoulli's free-boundary problem This problem arises in electrostatics, fluid dynamics, optimal insulation, and electro chemistry. In electrostatic terms the task is to design an annular con- denser consisting of a prescribed conducting surface 80. and an unknown conduc- tor A such that the electric field 'Vu is constant in magnitude on the surface 8A of the second conductor (Figure 1.1). This leads to the following free-boundary problem for the electric potential u. - u 0 in 0. \A, u 0 on 80., u 1 on 8A, 8u Q on ..
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Oscillation Theory of Partial Differential Equations
by Yoshida, Norio       
(Hardcover - English - 9789812835437)
This unique book is designed to provide the reader with an exposition of interesting aspects -- encompassing both rudimentary and advanced knowledge -- of oscillation theory of partial differential equations, which dates back to the publication in 1955 of a paper by Ph Hartman and A Wintner. The objective of oscillation theory is to acquire as much information as possible about the qualitative properties of solutions of differential equations through the analysis of laws governing the distribution of zeros of solutions as well as the asymptotic behavior of solutions of differential equations under consideration.This textbook on oscillation theory of partial diff ..
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Special Order
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Rp. 2.345.000
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Rp. 2.758.000
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Partial Differential Equations of First Order and Their Applications to Physics (2nd Edition)
by Lopez Velazquez, Gustavo       
(Hardcover - English - 9789814390378)
This book tries to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences. The intention is to provide mathematicians with a wide view of the applications of this branch in physics, and to give physicists and applied scientists a powerful tool for solving some problems appearing in Classical Mechanics, Quantum Mechanics, Optics, and General Relativity. This book is intended for senior or first year graduate students in mathematics, physics, or engineering curricula.This book is unique in the sense that it covers the applications of PDEFO in several branches of applied mathematics, and fi ..
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Three Classes of Nonlinear Stochastic Partial Differential Equations
by Xiong, Jie       
(Hardcover - English - 9789814452359)
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Numerical Solution of Partial Differential Equations: Proceedings of the NATO Advanced Study Institute Held at Kjeller, Norway, August 20-24, 1973
by Gram, J. G.       
(Hardcover - English - 9789027704139)
This book contains the transcripts of the invited lectures presented at the NATO Advanced Study Institute on Numerical Solution of Partial Differential Equations. The Study Institute was held at the Netherlands-Norwegian Reactor School, Institutt for Atomenergi, Kjeller, Norway, 20th - 24th August 1973. The members of the Scientific Advisory Committee were: A. R. Mitchell, University of Dundee, Scotland I. HoI and, University of Trondheim, Norway T. Havie, UniverSity of Trondheim, Norway The members of the Organizing Committee were: E. Andersen, Institutt for Atomenergi, Kjeller, Norway G. E. Fladmark, Institutt for Atomenergi, Kjeller, Norway J. G. Gram, Instit ..
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Special Order
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Rp. 2.251.000
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Rp. 2.647.000
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Partial Differential Equations: Time-Periodic Solutions
by Vejvoda, Otto    Herrmann, L.    Lovicar, V.
(Hardcover - English - 9789024727728)
As far as the number of new results and quoted papers is concerned the present book may be considered a monograph. However, it also has some features of a textbook. Firstly, it proceeds from concrete problems to abstract ones, and secondly, all considerations and procedures are presented in much detail when met for the first time (such very elementary expositions can be found especially at the beginning of Chapters III and V). Finally, the authors focus their attention on elementary problems which can be dealt with by relatively simple methods. The authors hope that all this will make it possible also for an applied or technical research worker with some mathema ..
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes: Including a Solution to Hilbert's Fifth Problem
by Rosinger, Elemer E.       
(Paperback - English - 9789048150939)
This book presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalised functions. Earlier, in part 3 of Oberguggenberger & Rosinger, Lie group actions were defined globally - in the projectable case - on the nowhere dense differential algebras of generalised functions An, as well as on the Colombeau algebras of generalised functions, and also on the spaces obtained through the order completion of smooth functions, spaces which contain the solutions of arbitrary continuous nonlinear PDEs. Further details can be found in Rosinger & Rudolph, and Rosinger & Walus 1,2]. To the extent ..
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Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation
by Selvadurai, A. P. S.       
(Hardcover - English - 9783540672838)
Por he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for writing these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universi- ties. The approach is distinctly different to that wh ich would adopted should such a course be given to students ..
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Numerical Bifurcation Analysis for Reaction-Diffusion Equations
by Mei, Zhen       
(Hardcover - English - 9783540672968)
Reaction-diffusion equations are typical mathematical models in biology, chemistry and physics. These equations often depend on various parame- ters, e. g. temperature, catalyst and diffusion rate, etc. Moreover, they form normally a nonlinear dissipative system, coupled by reaction among differ- ent substances. The number and stability of solutions of a reaction-diffusion system may change abruptly with variation of the control parameters. Cor- respondingly we see formation of patterns in the system, for example, an onset of convection and waves in the chemical reactions. This kind of phe- nomena is called bifurcation. Nonlinearity in the system makes bifurcati ..
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Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (
by Quarteroni, Alfio    Cockburn, B.    Johnson, C.
(Paperback - English - 9783540649779)
This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis. ..
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Partial Differential Equations in Mechanics 2: The Biharmonic Equation, Poisson's Equation
by Selvadurai, A. P. S.       
(Hardcover - English - 9783540672845)
For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for wri- ting these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universities. The approach is distinctly different to that which would adopted should such a course be given to students ..
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Numerical Approximation of Partial Differential Equations
by Quarteroni, Alfio    Valli, Alberto   
(Paperback - English - 9783540852674)
Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algor ..
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Geometry and Arithmetic Around Euler Partial Differential Equations
by Holzapfel, R. -P       
(Hardcover - English - 9789027718273)
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Applied and Numerical Partial Differential Equations: Scientific Computing in Simulation, Optimization and Control in a Multidisciplinary Context
by Fitzgibbon, W.    Kuznetsov, Y. a.    Neittaanmäki, Pekka
(Hardcover - English - 9789048132386)
Preface (W. Fitzgibbon, Y. Kuznetsov, P. Neittaanmaki, J.Periaux, O.Pironneau); List of Contributors; Roland Glowinski: The Unconventional and Unexpected Path of a Mathematician (W Fitzgibbon and J.Periaux); The Scientific Career of Roland Glowinski (Olivier Pironneau); Janos Turi and Alain Bensoussan: On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions; Martin Berggren: A Unified Discrete-Continuous Sensitivity Analysis Method for Shape Optimization; J. Tambaca, S. Canic and D. Paniagua, M.D., A Novel Approach to Modeling Coronary Stents Using a Slender Curved Rod Model: A Comparison Between Fractured Xience-like and Palmaz- ..
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Degenerate Elliptic Equations
by Levendorskii, Serge       
(Paperback - English - 9789048142828)
0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2m(X, ) = L aa(x) a lal=2m of the operator A is invertible on G X ( n \ 0); A is called elliptic on G, too. This definition works for systems of equations, for classical pseudo differential operators ("pdo), and for operators on a manifold n. Let us recall some facts concerning elliptic operators. 1 If n is closed, then for any s E, is Fredholm and the following a priori estimate holds (2) 1 2 Introduction If m 0 and A: C=(O; C') -] L (0; C') is formally self - adjoint 2 with respect to a smooth positive density, ..
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Rp. 3.756.000
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Partial Differential Equations and Group Theory: New Perspectives for Applications
by Pommaret, J. F.       
(Paperback - English - 9789048144327)
Ordinary differential control thPory (the classical theory) studies input output re- lations defined by systems of ordinary differential equations (ODE). The various con- cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re- cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance ..
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Navier-Stokes Equations in Irregular Domains
by Stupelis, L.       
(Paperback - English - 9789048145621)
The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways. br Audience : Graduate students, research mathematicians and hydromechanicians whose work involves functional analysi ..
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Partial Differential Equations and Boundary Value Problems
by Barbu, Viorel       
(Paperback - English - 9789048150281)
The material of the present book has been used for graduate-level courses at the University of Iaduring the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was marked by two decisive steps. Undoubtedly, the first one was the Fredholm pr ..
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