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EnglishIn this thesis we consider a hyperbolic system of three conservation laws modeling the one-dimensional flow of a fluid that undergoes phase transitions. We address the issue of the global in time existence of weak entropic solutions to the initial-value problem for large BV data: such is a challenging problem in the field of hyperbolic conservation laws, that can be tackled only for very special systems. In particular, we focus on initial data consisting of either two or three different phases separated by interfaces. This translates into the modeling of a tube divided into either two or three regions where the fluid lies in a specific phase. In the case of two interfaces this possibly gives rise to a drop of liquid in a gaseous environment or a bubble of gas in a liquid one
| Titolo: | Global existence for a hyperbolic model of multiphase flows with few interfaces |
| Autori: | |
| Data di pubblicazione: | 21-mar-2016 |
| Citazione: | Global existence for a hyperbolic model of multiphase flows with few interfaces / Edda Dal Santo - Milano : Università degli studi di Milano. , 2016 Mar 21. ((28. ciclo |
| Abstract: | In this thesis we consider a hyperbolic system of three conservation laws modeling the one-dimensional flow of a fluid that undergoes phase transitions. We address the issue of the global in time existence of weak entropic solutions to the initial-value problem for large BV data: such is a challenging problem in the field of hyperbolic conservation laws, that can be tackled only for very special systems. In particular, we focus on initial data consisting of either two or three different phases separated by interfaces. This translates into the modeling of a tube divided into either two or three regions where the fluid lies in a specific phase. In the case of two interfaces this possibly gives rise to a drop of liquid in a gaseous environment or a bubble of gas in a liquid one |
| Handle: | http://hdl.handle.net/11390/1132219 |
| Appare nelle tipologie: | 8.2 Tesi di Dottorato (OpenUniud) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 10990_663_DalSanto_thesis.pdf | Tesi di dottorato | Non specificato | Open Access Visualizza/Apri |
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