- AutorIn
- Halit Sevki Aslan
- Titel
- The influence of strong time-dependent oscillations on semilinear damped wave models
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:105-qucosa2-710008
- Datum der Einreichung
- 01.04.2020
- Datum der Verteidigung
- 10.06.2020
- Abstract (EN)
- In this thesis, we are interested in damped wave models with time-dependent propagation speed and time-dependent damping term both having a time-dependent oscillation term. The main goal of this thesis is to understand the influence of strong time-dependent oscillations on Sobolev solutions to the linear models and consequently, to the semilinear models. Especially, due to the deteriorating influence of oscillations on solutions, a stabilization condition and higher-order regularity of the time-dependent coefficients may compensate 'bad behaviors' arising from oscillations.
- Freie Schlagwörter (EN)
- semilinear, time-dependent coefficients, damped wave model, oscillations, stabilization condition, WKB analysis, energy estimates, global (in time) existence
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Wellengleichung
- Dämpfung
- Schwingung
- Mathematisches Modell
- GutachterIn
- Prof. Dr. Michael Reissig
- Prof. Dr. Fumihiko Hirosawa
- Prof. Dr. Rainer Picard
- Prof. Dr. Swanhild Bernstein
- Prof. Dr. Udo Hebisch
- BetreuerIn Hochschule / Universität
- Prof. Dr. Michael Reissig
- Den akademischen Grad verleihende / prüfende Institution
- TU Bergakademie Freiberg, Freiberg
- Version / Begutachtungsstatus
- publizierte Version / Verlagsversion
- URN Qucosa
- urn:nbn:de:bsz:105-qucosa2-710008
- Veröffentlichungsdatum Qucosa
- 14.07.2020
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch
- Inhaltsverzeichnis
1. Introduction 2. The influence of oscillations on linear damped wave equation with time-dependent coefficients 3. Global in time existence results for damped wave models with power nonlinearity 4. Global in time existence results for damped wave models with different power nonlinearities 5. Lp-Lq estimates for wave equations with strong time-dependent oscillations 6. Further research topics A. Basic tools B. List of symbols and abbreviations Bibliography