Cecil Pompiliu GrünfeldContact"Gheorghe Mihoc-Caius Iacob " Institute of Mathematical Statistics and Applied Mathematics of the ROMANIAN ACADEMY Calea 13 Septembrie No.13, Sector 5, 050711 Bucharest, ROMANIA,(please remove all the * symbols to get the correct email addresses) |
Academic Degree
Ph.D. in Physics (1987)
Current Position
Senior Researcher at "Gheorghe Mihoc-Caius Iacob " Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy"
Others: Retired from: Institute of Space Science (former Institute for Space Science) – Bucharest.
Research Team:
PDEs applications
Current Research Interests
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Mathematical Physics - statistical mechanics, kinetic theory, quantum mechanics -
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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
Affiliation
Some Works
- C. P. Grünfeld, A Nonlinear Evolution Equation in an Ordered Banach Space, Reconsidered, preprint arXiv:1905.00193 [math.DS]
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C. P. Grünfeld, D. Marinescu, On a time and space discretized approximation of the Boltzmann equation in the whole space, Comput. Math. Appl. 68 (2014) 1393-1408; DOI: 10.1016/j.camwa.2014.09.007 - the published version of this paper slightly differs from the arXiv preprint (arXiv:1402.2061 [math.NA]) by a few (editing and typo) corrections and additional considerations on further generalization of the main result.
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C. P. Grünfeld 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).
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C. P. Grünfeld, "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).
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C.P. Grünfeld, 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).
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Cecil P. Grünfeld, A nonlinear evolution equation in an ordered space, arising from kinetic theory, Commun. Contemp. Math. 9 (2007), no. 2, 217 -251.
Some Talks
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C. P. Grünfeld, D. Marinescu, "Uniform Error Estimations for a Discretized Approximation of the Boltzmann Equation in the Whole Space", 9-čme Colloque Franco-Roumain de Mathématiques Appliquées Brasov, 28 aoűt - 2 septembre 2008.
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C. P. Grünfeld, 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. Grünfeld, 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.
Publications
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reviewed in: