Zum Inhalt springen
- {{#headlines}}
- {{title}} {{/headlines}}
Profil
| Derzeitige Stellung | Professor W-3 und Äquivalente |
|---|---|
| Fachgebiet | Partielle Differentialgleichungen (PDGL),Analysis, Differentialgleichungen |
| Keywords | Free boundary problems, Functional analysis, Maximal regularity, Navier-Stokes equations, Partial differential equations |
| Auszeichnungen | 2014: Friedrich Wilhelm Bessel Prize |
Aktuelle Kontaktadresse
| Land | Japan |
|---|---|
| Ort | Kyoto |
| Universität/Institution | Kyoto University |
| Institut/Abteilung | Graduate School of Human and Environmental Studies |
Gastgeber*innen während der Förderung
| Prof. Dr. Jan Prüß | Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle (Saale) |
|---|---|
| Beginn der ersten Förderung | 01.03.2014 |
Projektbeschreibung der*des Nominierenden
| Prof Shimizu is well known internationally for her work on Navier-Stokes problems, in particular on the free boundary problems in the one-phase as well as in the two-phase case. She has made important contributions to this theory, introducing the methods of R-boundedness, operator-valued Fourier multipliers and maximal regularity. This work paved the way for the study of more complex problems like incompressible two-phase flows with phase transitions. During her stay in Germany she wants to continue her research on this topic and explore the extension of the approach to the compressible case. |
Publikationen (Auswahl)
| 2014 | Jan Pruess, Senjo Shimizu, Mathias Wilke: Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions:The Case of Non-Equal Densities. In: Commun. PDE, 2014, |
|---|---|
| 2012 | Senjo Shimizu: Maximal regularity and its application to free boundary problems for the Navier-Stokes equations. In: Sugaku Expositions, American Mathematical Society, 2012, 105-130 |
| 2012 | Yoshihiro Shibata, Senjo Shimizu: On the maximal L_p-L_q regularity of the Stokes problems with first order boundary condition; model problems. In: J. Math. Soc. Japan, 2012, 561-626 |
| 2012 | Jan Pruess, Yoshihiro Shibata, Senjo Shimizu, Gieri Simonett: On well-posedness of incompressible two-phase flows with phase transition: The case of equal densities. In: Evolution Equations & Control Theory, 2012, 171-194 |
| 2012 | Jan Pruess, Senjo Shimizu: On well-posedness of incompressible two-phase flows with phase transition: The case of non-equal densities. In: J. Evolution Equations, 2012, 917-941 |