Nominator's project description
| 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. |
Publications (partial selection)
| 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, |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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