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eBook Inverse Stefan Problems (Mathematics and Its Applications) download

by N.L. Gol'dman

eBook Inverse Stefan Problems (Mathematics and Its Applications) download ISBN: 0792345886
Author: N.L. Gol'dman
Publisher: Springer; 1 edition (May 31, 1997)
Language: English
Pages: 260
ePub: 1186 kb
Fb2: 1416 kb
Rating: 4.6
Other formats: lrf lit rtf txt
Category: Engineering
Subcategory: Engineering

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.

Inverse Stefan Problems. Part of the Mathematics and Its Applications book series (MAIA, volume 412). 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 book. Inverse Stefan Problems (Mathematics and Its Applications). 0792345886 (ISBN13: 9780792345886). This monograph presents new theory and methods of solving inverse.

The statements of inverse Stefan problems and the approximate method for their solution have been considered in Chapters 1, 2 under the assumption that the operators defining the corresponding operator representations of such problems have certain properties. For greater convenience of discussion these properties are investigated separately in this chapter. Our next analysis provides the choice of the ‘natural’ function spaces for the solution and input data of inverse Stefan problems.

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Abstract: One-phase models of inverse Stefan problems with unknown t convection coefficients are considered. The final observation is considered as an additional information on the solution of the direct Stefan problem. On the basis of the duality principle conditions for the uniqueness of their smooth solution are obtained.

Inverse Stefan Problems (Softcover Reprint of the Origi) (Mathematics and Its Applications (Closed)

Inverse Stefan Problems (Softcover Reprint of the Origi) (Mathematics and Its Applications (Closed) Mathematics and Its Applications (Closed).

A problem that arises when studying physical processes related to phase transformation of matter

A problem that arises when studying physical processes related to phase transformation of matter. The simplest two-phase Stefan problem is formulated in thermo-physical terms as follows (, ): Find the distribution of the temperature and the law of motion of the dividing boundary (for example, the boundary "ice-water" in freezing water) from the equation of heat conductivity: with the boundary condition. the initial condition. and the conditions on the freezing boundary.

In mathematics and its applications, particularly to phase transitions in matter, a Stefan problem (also Stefan task) is a particular kind of boundary value problem for a partial differential equation (PDE).

In mathematics and its applications, particularly to phase transitions in matter, a Stefan problem (also Stefan task) is a particular kind of boundary value problem for a partial differential equation (PDE), adapted to the case in which a phase boundary can move with time. The classical Stefan problem aims to describe the temperature distribution in a homogeneous medium undergoing a phase change, for example ice passing to water.

Quasilinear equations, inverse problems and. Their applications. Section Inverse problems of mathematical physics Chair: L. N. Pestov. 15:00: A. A. Gavrikov, D. U. Knyazkov, A. V. Romanova, V. Chernik, A. S. Shamaev Direct and inverse problems of sea surface electromagnetic tomography 15:35: A. G. Yagola (Moscow State University, Russia) Error estimation for ill-posed problems 16:10: V. Sedaykina (Immanuel Kant Baltic Federal University, Russia) Simulation of acoustical imaging in semigeodesic coordinates by BC-method 16

This monograph presents a new theory and methods of solving inverse Stefan problems for quasilinear parabolic equations in domains with free boundaries. This new approach to the theory of ill-posed problems is useful for the modelling of nonlinear processes with phase transforms in thermophysics and mechanics of continuous media. Regularisation methods and algorithms are developed for the numerical solution of inverse Stefan problems ensuring substantial savings in computational costs. Results of calculations for important applications in a continuous casting and for the treatment of materials using laser technology are also given. Audience: This book will be of interest to post-graduate students and researchers whose work involves partial differential equations, numerical analysis, phase transformation, mathematical modelling, industrial mathematics and the mathematics of physics.