Present position:
"Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of the ROMANIAN ACADEMY , Bucharest

(Team: PDEs and applications...)

Current Research Interests:

• Mathematical Physics - statistical mechanics, kinetic theory, quantum mechanics -

• Dynamical Systems, Nonlinear Evolution Equations

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:

•    AMS 

Some Works:

• C. P. Grünfeld, A Nonlinear Evolution Equation in an Ordered Banach Space, Reconsidered, preprint arXiv:1905.00193 [math.DS]

• 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.

• 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).

• 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).

• 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).

• 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:

• C. P. Grünfeld, 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. 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).

• 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:

• reviewed in:

1. Mathematical Reviews

2. Zentralblatt MATH

Coordinator of Scientific Projects

•   "PNCD II" - Program 4:
  - "NUFAR"
• "CEEX 1" National Program:
  - "KENESS"
• "AEROSPATIAL" National Program:
  

  - "NESSPIAC"
  - "MDUG"
  - "MTES"