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 in-depth background reading on theorems. Each chapter in this fully revised and updated edition begins with basic concepts and objectives, also including direction on how the subject matter was developed. It contains more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems.The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems. Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable manner Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

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  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Pages : 818 pages
  • ISBN : 0444635823
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Classical Stefan Problem

The Classical Stefan Problem

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

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

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

The One-Dimensional Heat Equation

The One-Dimensional Heat Equation
  • Author : John Rozier Cannon
  • Publisher : Cambridge University Press
  • Release : 28 December 1984
GET THIS BOOKThe One-Dimensional Heat Equation

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.

Mathematical Modeling Of Melting And Freezing Processes

Mathematical Modeling Of Melting And Freezing Processes
  • Author : V. Alexiades
  • Publisher : Routledge
  • Release : 02 May 2018
GET THIS BOOKMathematical Modeling Of Melting And Freezing Processes

This reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered

Some Remarks on the Stefan Problem with Surface Structure

Some Remarks on the Stefan Problem with Surface Structure
  • Author : Morton E. Gurtin,H. Mete Soner
  • Publisher : Unknown Publisher
  • Release : 24 January 1990
GET THIS BOOKSome Remarks on the Stefan Problem with Surface Structure

Abstract: "This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given."

Quantum-Classical Correspondence

Quantum-Classical Correspondence
  • Author : A. O. Bolivar
  • Publisher : Springer Science & Business Media
  • Release : 09 April 2013
GET THIS BOOKQuantum-Classical Correspondence

At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps

Free Boundaries in Rock Mechanics

Free Boundaries in Rock Mechanics
  • Author : Anvarbek Meirmanov,Oleg V. Galtsev,Reshat N. Zimin
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 11 September 2017
GET THIS BOOKFree Boundaries in Rock Mechanics

This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. Contents Introduction The Hele–Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of

Materials Phase Change PDE Control & Estimation

Materials Phase Change PDE Control & Estimation
  • Author : Shumon Koga,Miroslav Krstic
  • Publisher : Springer Nature
  • Release : 01 November 2020
GET THIS BOOKMaterials Phase Change PDE Control & Estimation

This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem. The algorithms can be used to improve the performance of various processes with phase changes, such as additive manufacturing. Using the authors' innovative design solutions, readers will also be equipped to apply estimation algorithms for real-world phase change dynamics, from polar ice to lithium-ion batteries. A historical treatment of the Stefan problem opens the book, situating