Theoretical and Practical Stefan Problems
This text provides a modern introduction to the mathematical formulation and physical applications of Stefan problems. With a careful balance of theory and practice, it is suitable for both graduate students and experienced researchers in applied math, engineering, physics, and chemistry. The formul...
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Edizioa: | 1st ed. 2025. |
| Saila: | Interdisciplinary Applied Mathematics,
63 |
| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-032-04826-4 |
| Etiketak: |
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| 100 | 1 | |a Myers, Timothy G. |e author. |0 (orcid)0000-0001-7573-8059 |1 https://orcid.org/0000-0001-7573-8059 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theoretical and Practical Stefan Problems |h [electronic resource] / |c by Timothy G. Myers. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XII, 200 p. 34 illus.). |b 28 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 341 | 0 | |b PDF/UA-1 |2 onix | |
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 490 | 1 | |a Interdisciplinary Applied Mathematics, |x 2196-9973 ; |v 63 | |
| 505 | 0 | |a Introduction -- Exact and approximate solutions -- Solidification of a thin liquid layer -- Variable property Stefan problem -- Variable interface conditions -- Non-Fourier Stefan problems -- Hints to Exercises -- Index. | |
| 520 | |a This text provides a modern introduction to the mathematical formulation and physical applications of Stefan problems. With a careful balance of theory and practice, it is suitable for both graduate students and experienced researchers in applied math, engineering, physics, and chemistry. The formulation of the Stefan problem and several analytical and approximate solution methods are described in the first three chapters. Applied mathematical techniques needed for later chapters, such as non-dimensionalization, perturbation methods, and lubrication theory, are also covered. The remaining chapters are more specialized and explore formulations going beyond the classical Stefan problem, for example where the material properties and phase change temperatures vary. The theory is always motivated by physical situations and examples: phase change with a flowing liquid in the context of microvalves and ice accretion on aircraft; the solidification of a supercooled liquid, the melting or growth of nanoparticles and nanocrystals and phase change when the heat flow no longer follows Fourier’s law. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Thermodynamics. | |
| 650 | 0 | |a Heat engineering. | |
| 650 | 0 | |a Heat transfer. | |
| 650 | 0 | |a Mass transfer. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | |a Engineering Thermodynamics, Heat and Mass Transfer. |
| 650 | 2 | 4 | |a Thermodynamics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783032048257 |
| 776 | 0 | 8 | |i Printed edition: |z 9783032048271 |
| 776 | 0 | 8 | |i Printed edition: |z 9783032048288 |
| 830 | 0 | |a Interdisciplinary Applied Mathematics, |x 2196-9973 ; |v 63 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-032-04826-4 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||