Geophysical Flow Models: An Approach by Quasilinear Evolution Equations
This thesis develops rigorous analysis of geophysical flow models in the context of Hibler's viscous-plastic sea ice model by means of quasilinear evolution equations. In a first step, well-posedness results for a fully parabolic variant are shown. Another focal point is the interaction problem...
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ftulbdarmstadt:oai:tuprints.ulb.tu-darmstadt.de:27378 2024-06-23T07:56:40+00:00 Geophysical Flow Models: An Approach by Quasilinear Evolution Equations Brandt, Felix Christopher Helmut Ludwig 2024-05-27 text http://tuprints.ulb.tu-darmstadt.de/27378/ https://tuprints.ulb.tu-darmstadt.de/27378/1/Dissertation_Felix_Brandt.pdf https://doi.org/10.26083/tuprints-00027378 en eng https://tuprints.ulb.tu-darmstadt.de/27378/1/Dissertation_Felix_Brandt.pdf Brandt, Felix Christopher Helmut Ludwig <http://tuprints.ulb.tu-darmstadt.de/view/person/Brandt=3AFelix_Christopher_Helmut_Ludwig=3A=3A.html> (2024)Geophysical Flow Models: An Approach by Quasilinear Evolution Equations. Technische Universität Darmstadtdoi: 10.26083/tuprints-00027378 <https://doi.org/10.26083/tuprints-00027378> Ph.D. Thesis, Primary publication, Publisher's Version CC BY-SA 4.0 International - Creative Commons, Attribution ShareAlike info:eu-repo/semantics/openAccess Ph.D. Thesis NonPeerReviewed info:eu-repo/semantics/doctoralThesis 2024 ftulbdarmstadt https://doi.org/10.26083/tuprints-00027378 2024-05-29T06:28:08Z This thesis develops rigorous analysis of geophysical flow models in the context of Hibler's viscous-plastic sea ice model by means of quasilinear evolution equations. In a first step, well-posedness results for a fully parabolic variant are shown. Another focal point is the interaction problem of sea ice with a rigid body. Moreover, a coupled atmosphere-sea ice-ocean model is analyzed from a rigorous mathematical point of view. The first part of the thesis is completed by the local strong well-posedness of a parabolic-hyperbolic variant of Hibler's model. In the second part of the thesis, frameworks to quasilinear time periodic evolution equations are presented. One approach relies on maximal periodic regularity and the Arendt-Bu theorem, whereas the other one is based on the classical Da Prato-Grisvard theorem. Finally, applications of these frameworks to Hibler's sea ice model, Keller-Segel systems as well as a Nernst-Planck-Poisson type system are provided. Doctoral or Postdoctoral Thesis Sea ice TU Darmstadt: tuprints Keller ENVELOPE(-58.406,-58.406,-62.073,-62.073) |
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Open Polar |
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TU Darmstadt: tuprints |
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ftulbdarmstadt |
language |
English |
description |
This thesis develops rigorous analysis of geophysical flow models in the context of Hibler's viscous-plastic sea ice model by means of quasilinear evolution equations. In a first step, well-posedness results for a fully parabolic variant are shown. Another focal point is the interaction problem of sea ice with a rigid body. Moreover, a coupled atmosphere-sea ice-ocean model is analyzed from a rigorous mathematical point of view. The first part of the thesis is completed by the local strong well-posedness of a parabolic-hyperbolic variant of Hibler's model. In the second part of the thesis, frameworks to quasilinear time periodic evolution equations are presented. One approach relies on maximal periodic regularity and the Arendt-Bu theorem, whereas the other one is based on the classical Da Prato-Grisvard theorem. Finally, applications of these frameworks to Hibler's sea ice model, Keller-Segel systems as well as a Nernst-Planck-Poisson type system are provided. |
format |
Doctoral or Postdoctoral Thesis |
author |
Brandt, Felix Christopher Helmut Ludwig |
spellingShingle |
Brandt, Felix Christopher Helmut Ludwig Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
author_facet |
Brandt, Felix Christopher Helmut Ludwig |
author_sort |
Brandt, Felix Christopher Helmut Ludwig |
title |
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
title_short |
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
title_full |
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
title_fullStr |
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
title_full_unstemmed |
Geophysical Flow Models: An Approach by Quasilinear Evolution Equations |
title_sort |
geophysical flow models: an approach by quasilinear evolution equations |
publishDate |
2024 |
url |
http://tuprints.ulb.tu-darmstadt.de/27378/ https://tuprints.ulb.tu-darmstadt.de/27378/1/Dissertation_Felix_Brandt.pdf https://doi.org/10.26083/tuprints-00027378 |
long_lat |
ENVELOPE(-58.406,-58.406,-62.073,-62.073) |
geographic |
Keller |
geographic_facet |
Keller |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
https://tuprints.ulb.tu-darmstadt.de/27378/1/Dissertation_Felix_Brandt.pdf Brandt, Felix Christopher Helmut Ludwig <http://tuprints.ulb.tu-darmstadt.de/view/person/Brandt=3AFelix_Christopher_Helmut_Ludwig=3A=3A.html> (2024)Geophysical Flow Models: An Approach by Quasilinear Evolution Equations. Technische Universität Darmstadtdoi: 10.26083/tuprints-00027378 <https://doi.org/10.26083/tuprints-00027378> Ph.D. Thesis, Primary publication, Publisher's Version |
op_rights |
CC BY-SA 4.0 International - Creative Commons, Attribution ShareAlike info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.26083/tuprints-00027378 |
_version_ |
1802649945476431872 |