Interfaces: Modeling, Analysis, Numerics
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure int...
Tallennettuna:
| Päätekijät: | , , , |
|---|---|
| Yhteisötekijä: | |
| Aineistotyyppi: | Elektroninen E-kirja |
| Kieli: | englanti |
| Julkaistu: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2023.
|
| Painos: | 1st ed. 2023. |
| Sarja: | Oberwolfach Seminars,
51 |
| Aiheet: | |
| Linkit: | https://doi.org/10.1007/978-3-031-35550-9 |
| Tagit: |
Lisää tagi
Ei tageja, Lisää ensimmäinen tagi!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-35550-9 | ||
| 003 | DE-He213 | ||
| 005 | 20260907194927.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 231010s2023 sz | o |||| 0|eng d | ||
| 020 | |a 9783031355509 |9 978-3-031-35550-9 | ||
| 024 | 7 | |a 10.1007/978-3-031-35550-9 |2 doi | |
| 050 | 4 | |a QA641-670 | |
| 072 | 7 | |a PBMP |2 bicssc | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a PBMP |2 thema | |
| 082 | 0 | 4 | |a 516.36 |2 23 |
| 100 | 1 | |a Bänsch, Eberhard. |e author. |0 (orcid)0000-0003-2743-1612 |1 https://orcid.org/0000-0003-2743-1612 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Interfaces: Modeling, Analysis, Numerics |h [electronic resource] / |c by Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2023. | |
| 300 | |a 1 online resource (XII, 178 p. 73 illus.). |b 34 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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 | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 51 | |
| 505 | 0 | |a 1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises. | |
| 520 | |a These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. 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 | |
| 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 Geometry, Differential. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Differential Equations. |
| 700 | 1 | |a Deckelnick, Klaus. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Garcke, Harald. |e author. |0 (orcid)0000-0001-5235-2073 |1 https://orcid.org/0000-0001-5235-2073 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Pozzi, Paola. |e author. |0 (orcid)0000-0003-4905-5187 |1 https://orcid.org/0000-0003-4905-5187 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031355493 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031355516 |
| 830 | 0 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 51 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-35550-9 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||