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Interfaces: Modeling, Analysis, Numerics (1st ed. 2023)
Loot Price: R1,501
Discovery Miles 15 010
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Interfaces: Modeling, Analysis, Numerics (1st ed. 2023)
Series: Oberwolfach Seminars, 51
Expected to ship within 18 - 22 working days
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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.
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