| 书目名称 | Inverse Stefan Problems | | 编辑 | N. L. Gol’dman | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | 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 engineering) and in hydrology, exploitation of oil-gas fields, etc. The proposed book will complete a gap in these subjects in the preceding re searches of ill-posed 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 utili | | 出版日期 | Book 1997 | | 关键词 | Transformation; algorithm; algorithms; modeling; modelling; numerical analysis; operator; partial different | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-5488-8 | | isbn_softcover | 978-94-010-6309-8 | | isbn_ebook | 978-94-011-5488-8 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 19:17:18
