Interfaces: Modeling, Analysis, Numerics / / by Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi

• Autore: Bänsch Eberhard
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023
• Edizione: 1st ed. 2023.
• Descrizione fisica: 1 online resource (186 pages)
• Disciplina: 516.36
• Soggetto topico: Geometry, Differential; Differential equations; Differential Geometry; Differential Equations
• Altri autori: DeckelnickKlaus GarckeHarald PozziPaola
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Interfaces: Modeling, Analysis, Numerics
• ISBN: 3-031-35550-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910751393603321
• Lo trovi qui: Univ. Federico II
• Serie: Oberwolfach Seminars, . 2296-5041 ; ; 51