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—Gieri Simonett (born on June 18, 1959) is a Swiss Romansh[1] mathematician known for his work on parabolic partial differential equations, free boundary problems, geometric flow, fluid dynamics, phase transitions, nonlinear functional analysis, and maximal regularity theory. Simonett's research interests also include numerical analysis and scientific computing.
Education and Career
[edit]Simonett is a professor of Mathematics at Vanderbilt University, where he has been a faculty member since 1995. He received his Master of Science degree in mathematics from the University of Zurich in 1988, and his Doctor of Philosophy degree in mathematics from the same university in 1992, under the supervision of Herbert Amann. [2] He began his academic career in 1992 as a postdoctoral fellow at the University of California, Los Angeles, supported by a fellowship from the Swiss National Science Foundation.
Scientific Work
[edit]Simonett is the co-author, along with Jan Prüss[3], of the book "Moving Interfaces and Quasilinear Parabolic Evolution Equations,"[4] with several hundreds citations [5]. In 1997, Joachim Escher and Simonett proved that the classic solutions to the single- and multi-phase Hele-Shaw problem exist in arbitrary dimension.[6] In 1998, they further proved the global existence and convergence of classic solutions with initial data close to spheres.[7] Also, in the same year, they proved the asymptotic stability of spheres under the surface diffusion and the volume-preserving mean curvature flows in proper C^k-topology.[8][9]
Bibliography
[edit]- Jan Prüss; Gieri Simonett. "Moving Interfaces and Quasilinear Parabolic Evolution Equations". Springer/Birkhaüser. ISBN: 978-3-319-27697-7.
- Joachim Escher; Gieri Simonett. Topics in Nonlinear Analysis. Springer/Birkhäuser. ISBN 978-3-0348-8765-6.
References
[edit]- ^ "Romansh People".
- ^ "Gieri Simonett". The Mathematics Genealogy Project.
- ^ "Jan Prüss".
- ^ Jan Prüss; Gieri Simonett. "Moving Interfaces and Quasilinear Parabolic Evolution Equations". Springer/Birkhaüser. ISBN: 978-3-319-27697-7.
- ^ "Semantic Scholar".
- ^ Joachim Escher; Gieri Simonett. "Classical solutions for Hele-Shaw models with surface tension". Adv. Differential Equations. doi:10.57262/ade/1366741151.
- ^ Joachim Escher; Gieri Simonett. "A center manifold analysis for the Mullins-Sekerka model". Journal of Differential Equations.
- ^ Joachim Escher; Uwe F. Mayer; Gieri Simonett. "The surface diffusion flow for immersed hypersurfaces". SIAM Journal on Mathematical Analysis.
- ^ Escher, Joachim; Simonett, Gieri. "The volume preserving mean curvature flow near spheres" (PDF). Proc. Amer. Math. Soc.