Cecil Pompiliu GrünfeldContact
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Academic Degree
Ph.D. in Physics (1987)
Current Position
Permanent position:
Senior Researcher at Institute for Space Sciences (ISS) - Bucharest, Head of the Space Researches Laboratory
Others:
Senior Researcher at "Gheorghe Mihoc-Caius Iacob " Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy" (ISMMA), Bucharest
Research Group(s)
- ISS: Space Researches Laboratory Theoretical Physics and Astrophysics, Mathematical Physics
- ISMMA: Department of Applied Mathematics "Caius Iacob"
Current Research Interests
- Mathematical Physics - statistical mechanics, kinetic theory, quantum mechanics -
- Dynamical Systems, Nonlinear Evolution Equations
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Asymptotics, Borel Summability Transseries
Some keywords and AMS 2000 Mathematics Subject Classification (MSC):
- keywords: classical (quantum) Boltzmann equation, Povzner equation, Smoluchowski coagulation equation, elastic collisions, dissipative collisions, chemically reacting flows, abstract Lebesgue spaces, isotone operators, positive semigroups, nonlinear equations; nonlinear evolution equations
- MSC: 47J35; 34G20; 76P05; 80A32
Recent Works
- C. P. Grunfeld, D. Marinescu, Probabilistic Methods for
Solving the Cauchy Problem
for Boltzmann-like Models, in "Mathematical
problems
in engineering aerospace and science: ICNPAA 2008",
pp 326-333, C. S.
Sivasundaram,
Ed, Cambridge Scientific Publishers, 2009, (ISBN
978-1-904868-70-5)
-
C. P. Grunfeld, "An Introduction to Monotonicity Methods for Nonlinear Kinetic Equations", in "Topics in Applied Mathematics and Mathematical Physics", pp 45-96, C. P. Grunfeld, S. Ion, G. Marinoschi, Eds, Romanian Academy, 2008 (ISBN 978-973-27-1719-6) (.pdf).
- C.P. Grunfeld, On a Class of Nonlinear Evolution
Equations in an
Abstract Lebesgue Space, in "Proceedings of
Dynamic Systems
and Applications, vol. 5", pp.198-202, G. S. Ladde, N.
G. Medhin,
Chuang
Peng, M. Sambandham, Eds, Dynamic Publishers, Inc., 2008 (ISBN
1-890888-01-6).
-
Cecil P. Grunfeld, A nonlinear evolution equation in an ordered space, arising from kinetic theory, Commun. Contemp. Math. 9 (2007), no. 2, 217 -251.
Some Recent Talks
- C. P. Grunfeld, D. Marinescu, "Uniform
Error Estimations for a Discretized Approximation of the Boltzmann
Equation in the Whole Space", 9-ème Colloque Franco-Roumain
de Mathématiques Appliquées Brasov, 28 août - 2
septembre 2008.
-
C. P. Grunfeld, D. Marinescu, Probabilistic Methods for Solving the Cauchy Problem for Boltzmann -like Models, Mathematical Problems in Engineering, Aerospace and Sciences , June 25-27, 2008 Genoa, Italy (communicated by D. Marinescu).
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C. P. Grunfeld, On a Class of Nonlinear Evolution Equations in an Abstract Lebesgue Space , Fifth International Conference on Dynamic Systems and Applications, May 30 - June 2, 2007, Atlanta, Georgia, USA.
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C. P. Grunfeld, A Nonlinear Evolution Equation in an Ordered Space, Arising from Kinetic Theory , June 2007, Department of Mathematics - Ohio State University, Columbus, Ohio, USA.
Publications
- reviewed in: