The Classical Stefan Problem

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  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Pages : 550 pages
  • ISBN : 9780444635815
  • Rating : /5 from reviews
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Download or Read online The Classical Stefan Problem full in PDF, ePub and kindle. this book written by S. C. Gupta and published by Elsevier which was released on 01 May 2017 with total page 550 pages. We cannot guarantee that The Classical Stefan Problem book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. The Classical Stefan Problem: Basic Concepts, Modelling and Analysis, Second Edition, provides the fundamental theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics, and functional analysis. The text is enriched with many appropriate references for in-depth background reading on theorems. Each chapter begins with basic concepts, objectives, and the directions in which the subject matter has developed. This is followed by detailed reviews of published works. This updated edition is fully revised, and contains more than 150 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable way Presents well-organized chapters that start with proper definitions that are followed by explanations and end with references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Release : 01 May 2017
GET THIS BOOK The Classical Stefan Problem

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis, Second Edition, provides the fundamental theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics, and functional analysis. The text is enriched with many appropriate references for in-depth background reading on theorems. Each

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release : 27 July 2017
GET THIS BOOK The Classical Stefan Problem

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics, and functional analysis, and is thoroughly enriched with many appropriate references for

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release : 22 October 2003
GET THIS BOOK The Classical Stefan Problem

This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives.

The Stefan Problem

The Stefan Problem
  • Author : A.M. Meirmanov
  • Publisher : Walter de Gruyter
  • Release : 01 January 1992
GET THIS BOOK The Stefan Problem

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board

Free Boundary Problems in Continuum Mechanics

Free Boundary Problems in Continuum Mechanics
  • Author : S.N. Antontsev,K.H. Hoffmann,A.M. Khludnev
  • Publisher : Birkhäuser
  • Release : 07 March 2013
GET THIS BOOK Free Boundary Problems in Continuum Mechanics

Progress in different fields of mechanics, such as filtra tion theory, elastic-plastic problems, crystallization pro cesses, internal and surface waves, etc., is governed to a great extent by the advances in the study of free boundary problems for nonlinear partial differential equations. Free boundary problems form a scientific area which attracts attention of many specialists in mathematics and mechanics. Increasing interest in the field has given rise to the "International Conferences on Free Boundary Problems and Their Applications" which have

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Moving Interfaces and Quasilinear Parabolic Evolution Equations
  • Author : Jan Prüss,Gieri Simonett
  • Publisher : Birkhäuser
  • Release : 25 July 2016
GET THIS BOOK Moving Interfaces and Quasilinear Parabolic Evolution Equations

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in

Inverse Stefan Problems

Inverse Stefan Problems
  • Author : N.L. Gol'dman
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Inverse Stefan Problems

In this monograph the theory and methods of solving inverse Stefan problems for quasilinear parabolic equations in regions with free boundaries are developed. The study of this new class of ill-posed problems is motivated by the needs of the mod eling and control of nonlinear processes with phase transitions in thermophysics and mechanics of continuous media. Inverse Stefan problems are important for the perfection of technologies both in high temperature processes (e.g., metallurgy, the aircraft industry, astronautics and power

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Elliptic and Parabolic Problems
  • Author : Josef Bemelmans,Bernard Brighi,Alain Brillard,Michel Chipot,Francis Conrad,Itai Shafrir,Vanda Valente,Giorgio Vergara Caffarelli
  • Publisher : World Scientific
  • Release : 06 August 2002
GET THIS BOOK Elliptic and Parabolic Problems

This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis. Contents:Rolduc:Models for Shape Memory Alloys Described by Subdifferentials of Indicator Functions (T Aiki & N Kenmochi)Local Stability Under Changes of Boundary Conditions at a Far Away Location (M Chipot & A Rougirel)Existence of Solutions of a Segregation Model Arising

Proceedings of the 4th European Conference Elliptic and Parabolic Problems

Proceedings of the 4th European Conference  Elliptic and Parabolic Problems
  • Author : Josef Bemelmans
  • Publisher : World Scientific
  • Release : 16 May 2022
GET THIS BOOK Proceedings of the 4th European Conference Elliptic and Parabolic Problems

This book provides an overview of the state of the art in important subjects, including ? besides elliptic and parabolic issues ? geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.

Encyclopaedia of Mathematics

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  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Encyclopaedia of Mathematics

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather

A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling

A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
  • Author : Jörg Steinbach
  • Publisher : Birkhäuser
  • Release : 06 December 2012
GET THIS BOOK A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling

This monograph studies an evolutionary variational inequality approach to a degenerate moving free boundary problem. It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory term and time-dependent convex constraint sets. Finally, a description of injection and compression moulding is presented in terms of different mathematical models, a generalized Hele-Shaw flow, a distance concept and Navier-Stokes flow.

Partial Differential Equations

Partial Differential Equations
  • Author : J. Necas
  • Publisher : Routledge
  • Release : 04 May 2018
GET THIS BOOK Partial Differential Equations

As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes

Proceedings Of The International Congress Of Mathematicians 2018  Icm 2018   In 4 Volumes
  • Author : Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
  • Publisher : World Scientific
  • Release : 27 February 2019
GET THIS BOOK Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Differential Equations

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  • Author : Angelo Favini,Alfredo Lorenzi
  • Publisher : CRC Press
  • Release : 09 June 2006
GET THIS BOOK Differential Equations

With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientific fields. Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The