Two Problems in non-linear PDE’s with Phase Transitions

Two Problems in non-linear PDE’s with Phase Transitions

This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evoluti...

Full description

Bibliographic Details
Main Author: Jonsson, Karl
Format: Others
Language:English
Published: KTH, Matematik (Avd.) 2018
Subjects:
Conductivity jump
Free boundary problem
Quasilinear elliptic equation
Mathematical techniques
Nonlinear analysis
Free boundary
Free-boundary problems
Quasi-linear elliptic
Quasilinear elliptic equations
Hele-Shaw flow
non-local
implicit function theorem
Heterogeneous Multi Scale
HMM
Finite Element
FEM
FE
Mathematics
Matematik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562
http://nbn-resolving.de/urn:isbn:978-91-7729-682-9

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562
http://nbn-resolving.de/urn:isbn:978-91-7729-682-9

Similar Items