Inverse Stefan Problems
Resource Information
The work Inverse Stefan Problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Inverse Stefan Problems
Resource Information
The work Inverse Stefan Problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Inverse Stefan Problems
 Statement of responsibility
 by N.L. Gol'dman
 Subject

 Mathematics
 Global analysis (Mathematics)
 Analysis
 Partial Differential Equations
 Computational Mathematics and Numerical Analysis
 Surfaces (Physics)
 Characterization and Evaluation of Materials
 Mathematical Modeling and Industrial Mathematics
 Differential equations, partial
 Applications of Mathematics
 Computer science  Mathematics
 Language

 eng
 eng
 Summary
 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 illposed 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 engineering) and in hydrology, exploitation of oilgas fields, etc. The proposed book will complete a gap in these subjects in the preceding re searches of illposed problems. It contains the new theoretical and applied studies of a wide class of inverse Stefan problems. The statements of such problems on the determination of boundary functions and coefficients of the equation are considered for different types of additional information about their solution. The variational method of obtaining stable approximate solutions is proposed and established. It is implemented by an efficient computational scheme of descriptive regularization. This algorithm utilizes a priori knowledge of the qualitative structure of the sought solution and ensures a substantial saving in computational costs. It is tested on model and applied problems in nonlinear thermophysics. In particular, the results of calculations for important applications in continuous casting of ingots and in the melting of a plate with the help of laser technology are presented
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 6F5GxyLb_Vo
 Image bit depth
 0
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematics and Its Applications
 Series volume
 412
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