Liviu Florin DINU

Born in Bucharest. Nationality: Romanian.
Married to Marina Ileana Dinu

Senior Research Scientist, first degree.

Education

Ph.D. from the University of Bucharest (1980).

Honors received

The Gheorghe Lazar Award for Mechanics and Mathematical Physics of the Romanian Academy (1978). 

Present research interests

Compressible fluid dynamics (gas dynamics).
Hyperbolic systems of conservation laws.
Gasdynamic interactions. 

Additional information

Courses taught at the University of Bucharest ["The mathematical theory of compressible fluid flow" / "Gasdynamic interactions" to V th grade students; essentially reflected by a monograph in final progress ("Mathematical concepts in nonlinear gas dynamics")], and at the Polytechnical University of Bucharest ["Advanced mathematics" to II nd grade students]

Coordinator of the Romanian Part of the Research Agreement between IMAR and the Institute of Fundamental Technological Research of the Polish Academy of Sciences (1999-2002)

IMAR coordinator of the CEEX Project "Turbulence and quasi coherent structures in fluids and plasmas" (2006-2008)

IMAR coordinator of the PN2-Idei Project "Nonlinear evolution, quasi coherence and transport in the turbulence of fluids" (2009-2011)

Coordinator of the Theoretical Part of the National Research Program "Tokamak Fusion" (1978-1981)

More than 70 scientific publications (monographs, papers, etc.) the principal titles of which are included in the Selective list of works [see below]. 

Recent Significant Achievement

• Some asymptotic remarks concerning a critical character in certain two-dimensional models of interactions with shocks.

• Shock-vortex interaction. An explicit, closed form of Ribner's parallel representation (RPR) - associated to the interaction between a shock discontinuity and a compressible finite core planar vortex whose axis is parallel to the shock. (1) Considering a singular (point core) limit of RPR [kw: presence of a minimal nonlinearity in the form of a "nonlinear subconscious", gasdynamic factorization of the vorticity-shock interaction; coherent gasdynamic factorizations of the vortex (as a structured vorticity) - shock interaction]. (2) Re-weighting the singular limit of RPR [kw: the singular limit as a linearized fundamental solution (in presence of a minimal nonlinearity)]. (3) Nonlinearized Fourier approach and conceptual structuring of RPR.

• Shock-turbulence interaction. An exhaustively classifying characterization (ECC) of the Ribner type deterministic structure of the interaction between a model of turbulence and a shock discontinuity [kw: generalized (oblique) Lorentz coordinates; extensible (to oblique interactions) form of Ribner's representation; a parallel between the deterministic and explicit ECC and J.M. Lighthill's statistic and implicit description of shock-turbulence interaction; importance of some pseudo relativistic (subcritical, supercritical) details of the ECC].

• Shock-turbulence interaction. Extending, in a Ribner type construction, the modal character of the incident turbulence into a general modal character.

• Shock-turbulence interaction. Extending, in a Ribner type construction, the nature of the shock discontinuity.

• Wave-wave regular interactions. (1) An one-dimensional parallel between the genuinely nonlinear Burnat "algebraic" approach and the Martin "differential" approach. (2) Two-dimensional details of the Burnat-Martin parallel. (3) Two prospects [genuinely nonlinear and "algebraic"; "differential"] of an ad hoc concept of nondegeneracy. Multidimensional regular genuine nonlinearity.

These (published / going to appear / in final progress) results have been lectured recently in Paris (Universite Paris VI), Zurich (ETH-Zentrum, Seminar fur Angewandte Mathematik), Lyon (Ecole Normale Superieure), Gottingen (Euromech, September 1997), Sankt Petersburg (International Conference on Fluxes and Structures in Fluids, Russian Academy of Sciences, June 1999), Warsaw (Institute for Fundamental Technological Research of Polish Academy of Sciences, September 1999), Torun PL (2nd Symposium on Nonlinear Analysis, September 1999), Cluj-Napoca RO (in the Seminar of Applied Mathematics, Babes-Bolyai University; December 2000, February 2005), Bucharest (Annual Colloquium of Fluid Mechanics; September 2001, November 2005, September 2011), Perpignan FR (6th French-Romanian Colloquium, September 2002), Cambridge UK (in the Semester on Nonlinear Hyperbolic Waves in Phase Dynamics and Astrophysics, Newton Institute for Mathematical Sciences, July 2003), Loughborough UK (in the Nonlinear Waves and Fluid Dynamics Seminar, Center for Nonlinear Mathematics and Applications of the Loughborough University, July 2003), Houston TX (SIAM Conference on Analysis of Partial Differential Equations, December 2004), Edinburg TX (NSF/CBMS Regional Research Conference in the Mathematical Sciences: New Perspectives for Boundary Value Problems and Their Asymptotics, University of Texas - Pan American, May 2005), Boston MA (SIAM Conference on Analysis of Partial Differential Equations, July 2006), Ann Arbor MI (in the Differential Equations Seminar, University of Michigan, April 2007), State College PA (in the Computational and Applied Mathematics Colloquium, Penn State University, April 2007), Zurich (6th International Congress on Industrial and Applied Mathematics [ICIAM07], ETH-Zentrum, July 2007), Reading UK (The 8th International Conference [Waves 2007] on Mathematical and Numerical Aspects of Waves, July 2007), Loughborough UK (Center for Nonlinear Mathematics and Applications of the Loughborough University, August 2007), Phoenix-Mesa AZ (SIAM Conference on Analysis of Partial Differential Equations, December 2007), Stony Brook NY (in the CAM Seminar, Department of Applied Mathematics and Statistics, State University of New York, May 2008), Minneapolis MN (Inaugural International Conference of the Engineering Mechanics Institute [EM'08], University of Minnesota, May 2008), Rome (SIAM Conference on Nonlinear Waves and Coherent Structures, University of Rome "La Sapienza", July 2008), Denver CO (SIAM Conference on Analysis of Partial Differential Equations, July 2009), Minneapolis MN (Summer Program on Nonlinear Conservation Laws and Applications, Institute of Mathematics and Its Applications [IMA], July 2009), Beijing CN (13th International Conference on Hyperbolic Problems [HYP 2010], June 2010), Hyderabad IN (International Congress of Mathematicians [ICM 2010], August 2010), Bahia Blanca ARG (3rd International Congress of Applied, Computational, and Industrial Mathematics [3rd MACI 2011], May 2011), Waterloo Ontario CA (The International Conference on Applied Mathematics, Modeling, and Computational Science, a Wilfrid Laurier University Centennial Conference [AMMCS 2011], July 2011), Port Elizabeth RSA (Congress of SAMS [South African Math. Soc.] and AMS, Nelson Mandela Metropolitan University, November-December 2011), Padova IT (The 14th International Conference on Hyperbolic Problems [HYP 2012]. Theory, Numerics and Applications, University of Padova, June 2012).

A selective list of works. Click here

Address: Institute of Mathematics of the Romanian Academy,
                  P.O.Box 1-764, Bucharest; RO-014700  ROMANIA
Phone  :  +402 1 319 65 60
E-mail : Liviu.Dinu at imar.ro