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The Martian
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Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains
by
Volpert, Vitaly
(Hardcover - English - 9783034605366)
The theory of elliptic partial differential equations has developed during about two centuries together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications. It remains one of the most rapidly developing fields of mathematics. The theory of general elliptic problems is presented in the present first volume of the book. A priori estimates, normal solvability and Fredholm property, index, operators with a parameter, nonlinear Fredholm operators are discussed. Particular attention is paid to elliptic problems in unbounded domains which are not yet sufficiently well presented in the existing literature and which require some specia ..
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Introduction to Partial Differential Equations: Second Edition
by
Folland, Gerald B.
(Hardcover - English - 9780691043616)
The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book ..
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Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves
by
Serre, Denis
Sneddon, I. N.
(Hardcover - French - 9780521582339)
Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometric ..
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Lectures on Partial Differential Equations
by
Cooke, Roger
Arnold, Vladimir I.
(Paperback - English - 9783540404484)
This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive i ..
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Maximum Principles in Differential Equations
by
Protter, Murray H.
Weinberger, Hans F.
(Paperback - English - 9781461297697)
Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications. ..
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2.943.000
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Navier-Stokes Equations
by
Constantin, Peter
Foias, Ciprian
(Paperback - English - 9780226115498)
Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases. ..
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810.000
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Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains
by
Volpert, Vitaly
(Paperback - English - 9783034803229)
The theory of elliptic partial differential equations has developed during about two centuries together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications. It remains one of the most rapidly developing fields of mathematics. The theory of general elliptic problems is presented in the present first volume of the book. A priori estimates, normal solvability and Fredholm property, index, operators with a parameter, nonlinear Fredholm operators are discussed. Particular attention is paid to elliptic problems in unbounded domains which are not yet sufficiently well presented in the existing literature and which require some specia ..
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2.868.000
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2.438.000
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Variational Problems with Concentration
by
Bach, Martin F.
(Hardcover - English - 9783764361365)
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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Differential Equations of Linear Elasticity of Homogeneous Media: Theory of Linear Elasticity
by
El-Hewie, Mohamed F.
(Paperback - English - 9781491219232)
The transmission of forces from without to within solid medium comprises a mathematical challenge of utmost complexity. The sources of difficulties are as follows: 1. Surface indeterminate conditions 2. Medium indeterminate relationships 3- Spatial indeterminate continuity 4. Fixing and loading indeterminate conditions 5. Inertial rotational indeterminate equilibrium STATICS OF STRESS Navier's Partial differential equations of stress Surface conditions for projection of stress Cauchy's quadratic or surface of normal stresses Spherical stress tensor Stress deviator tensor Vanishing deviator of the first invariant of the GEOMETRY OF STRAIN Cauchy's equations for d ..
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651.000
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553.000
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Ordinary and Partial Differential Equations: Third Year College Course For Mathematicians, Physicists, and Engineers
by
El-Hewie, Mohamed F.
(Paperback - English - 9781492220183)
This book comprises a course in differential equations, which students of engineering, physics, and mathematics complete as a requirement of bachelor in science degree. The reader must possess basic skills in calculus, since all elementary differentiations and integrations in this book assume that the student could visually spot the derivation from previous years in high school or college. The book is organized in the logical fashion as presented to college students. The ordinary differential equations (o.d.e.) are first studied in great details, since partial differential equations (p.d.e.) must be rendered ordinary by separation of variables so as yield meanin ..
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611.000
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519.000
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Continuation and Bifurcations: Numerical Techniques and Applications
by
Roose, Dirk
De Dier, Bart
Spence, Alastair
(Paperback - English - 9789401067812)
In September 1989, a NATO Advanced Research Workshop on "Continuation and BIfurcations: NumerIcal TechnIques and Applications" was held at the Katholieke Unlversiteit Leuven, Belgium. Participants came from 10 countries in Europe and North America and were mainly from universities and research institutes. This proceedings volume contains 26 of the 38 papers which were presented at the meeting. Abstracts of most other contrIbutions are also included. The central theme of the workshop was the solution of parameter dependent nonlinear problems using numerical continuation. More specifically the aims can be stated as: to descrIbe typIcal bifurcation problems In scle ..
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2.075.000
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1.764.000
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Partial Differential Equations
by
John, Fritz
(Paperback - English - 9781468493351)
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy's example of a linear equation without solutions. ..
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1.895.000
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1.611.000
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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations
by
Volpert, Vitaly
(Hardcover - English - 9783034808125)
If we had to formulate in one sentence what this book is about, it might be How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species. These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to spe ..
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HARGA NORMAL
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5.595.000
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4.757.000
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The Navier-Stokes Equations: An Elementary Functional Analytic Approach
by
Sohr, Hermann
(Paperback - English - 9783034894937)
The primary objective of this monograph is to develop an elementary and self- contained approach to the mathematical theory of a viscous incompressible fluid in a domain 0 of the Euclidean space ]Rn, described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers' convenience, in the first two chapters we collect without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain O. In particular, the theory applies to arbitrary unbound ..
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2.535.000
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2.155.000
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Partial Differential Equations: An Introduction to Theory and Applications
by
Shearer, Michael
Levy, Rachel
(Hardcover - English - 9780691161297)
An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equation ..
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2.585.000
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2.198.000
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Solve Nonlinear Systems of PDEs by Order Completion: Can There Be a General Nonlinear PDE Theory for Existence and Regularity of Solutions ?
by
Rosinger, Elemer Elad
(Paperback - English - 9781503334809)
Contrary to widespread perception, there has ever since 1994 been a unified, general, that is, type independent theory for the existence and regularity of solutions for very large classes of nonlinear systems of PDEs, with possibly associated initial and or boundary value problems, see 21,22], and for further developments 1-3,47-56,58,64-66]. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the respective PDEs. All the solutions obtained have a blanket, universal, minimal regularity property, namely, they can be assimilated with usual measurable functions ..
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377.000
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320.000
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Reduced Basis Methods for Partial Differential Equations: An Introduction
by
Quarteroni, Alfio
Manzoni, Andrea
Negri, Federico
(Paperback - English - 9783319154305)
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthog ..
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1.816.000
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1.544.000
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Methods for Constructing Exact Solutions of Partial Differential Equations: Mathematical and Analytical Techniques with Applications to Engineering
by
Meleshko, Sergey V.
(Hardcover - English - 9780387250601)
Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations. ..
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6.162.000
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5.239.000
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The One-Dimensional Heat Equation
by
Cannon, John Rozier
Browder, Felix E.
(Paperback - English - 9780521089449)
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters. ..
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2.512.000
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