Gheorghe Moroșanu

Gheorghe Moroșanu

Gheorghe Moroșanu (2013)
Born (1950-04-30) 30 April 1950
Darabani, Botoșani County, Romania
Nationality Romania
Fields Mathematics
Institutions Central European University, Budapest
Alma mater Alexandru Ioan Cuza University, Iaşi, Romania
Doctoral advisors Viorel P. Barbu and Adolf Haimovici
Doctoral students 15 students, including
Luminița Barbu
Nicușor Costea
Valeriu Paul Georgescu
Tihomir Gyulov
Alexandru Kristály
Mihai Mihăilescu
Viorica Venera Motreanu
Known for works in Ordinary Differential Equations and Partial Differential Equations
Notable awards
  • Doctor Honoris Causa, Ovidius University, Constanța, Romania (2016)
  • Gheorghe Lazăr Prize of the Romanian Academy (1983)

Gheorghe Moroșanu (born April 30, 1950, in Darabani, Botoșani County) is a Romanian mathematician known for his works in ordinary differential equations, partial differential equations and other branches of mathematics.[1] He earned his PhD in 1981 from the Alexandru Ioan Cuza University, Iași, Romania.

He is currently affiliated with the Central European University, Budapest (an English-language university, accredited in the USA and Hungary, founded in 1991 by American philanthropist George Soros), after previously holding positions at the Alexandru Ioan Cuza University, Iași and the University of Stuttgart. Among several administrative positions, he served as chairman of the Mathematics Department of the Central European University during the period 2004-2012. In 2008 he was appointed as egyetemi tanár (the highest academic title in Hungarian higher education) by the President of Hungary.[2][3]

Before his university studies, during the 12-year period of education from primary to high school (1957-1969), Gheorghe Moroșanu was at the top of his class each academic year and demonstrated a keen interest in mathematics. In 1969 he started studying mathematics at the Alexandru Ioan Cuza University, Iaşi, Romania. He was the first to earn a PhD of his class of over 150 graduates. His dissertation Qualitative Problems for Nonlinear Differential Equations of Accretive Type in Banach Spaces[4] included original results published in top-ranked journals (Atti della Accademia Nazionale dei Lincei, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Nonlinear Analysis, Numerical Functional Analysis and Optimization).

Gheorghe Moroșanu is the author and co-author of a great number of research articles and several textbooks and monographs.[5] His monograph on nonlinear evolution equations[6] is mainly focused on the stability theory for such equations. In the preface of this monograph, Professor Michiel Hazewinkel (Series Editor) states that

the theory of stability of ordinary differential equations contains the germs for a theory of stability of nonlinear evolution semigroups ... This book is devoted to a self-contained systematic exposition of these matters and incorporates many of the author's own substantial results in the field.

This book has been followed by a series of related papers, including his articles on second-order evolution equations governed by monotone operators.[7][8][9][10] These publications provide a complete answer to the long-standing existence question in the non-homogeneous case.

Note also that both his joint monograph on functional methods[11] and that on singular perturbations[12] contain original material mostly due to the authors, bringing new ideas and methods that are useful in exploring mathematical models described by linear and nonlinear differential equations. In particular the book on singular perturbations combines results from different parts of mathematics to offer a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, engineering. This book has been followed by further related works, including the joint papers on singular perturbation problems associated with semi-linear evolution equations.[13][14]

Moroșanu has also works in Calculus of Variations, Fluid Mechanics, etc.[15] More specifically, his legacy of contributions concerns (but is not limited to) the following topics:

• first and second-order evolution equations in Hilbert spaces;

• initial-boundary value problems for parabolic and hyperbolic partial differential equations and systems (existence, high regularity, stability of solutions, time periodic solutions);

• singular perturbation theory for nonlinear partial differential equations and semilinear evolution equations in Hilbert spaces;

• boundary value problems for elliptic equations, including equations involving p-Laplacians, related eigenvalue problems;

• nonlinear ordinary differential equations, integro-differential equations, delay differential equations, equations involving ordinary p-Laplacians;

• monotone operators, nonlinear differential operators;

• difference equations in Hilbert spaces, including proximal point algorithms;

• the Fourier method for solving abstract evolution equations;

• optimization, input identifiability, optimal control;

• applications in acoustics, capillarity theory, diffusion processes, fluid flows, hydraulics, integrated circuits, mathematical biology and ecology, nonlinear oscillators, phase field equations, self-organized systems, telegraph systems, etc.

In 1983 he was awarded the Gheorghe Lazăr Prize of the Romanian Academy in recognition of his outstanding contributions to the theory of hyperbolic partial differential equations.[16][17][18]

He also holds a honorary doctorate from Ovidius University, Constanța, Romania.[19]

A school (in Darabani) Moroșanu himself attended between 1957 and 1965 has been named after him since 2007, when he also received the title of honorary citizen of Darabani in recognition of his accomplishments.[20][21][22][23]

References

  1. ↑ Moroșanu's Fields of Interest, MathSciNet, American Mathematical Society, retrieved April 1, 2015
  2. ↑ "Határozata egyetemi tanári kinevezésekről (in English: Decision on appointments of university professors)", Oktatási Közlöny, Az Oktatási és Kulturális Minisztérium Hivatalos Lapja (Official journal of the Ministry of Education and Culture, in Hungarian), LII (22), August 14: 2490, 2008
  3. ↑ Gheorghe Moroșanu appointed as egyetemi tanár by the President of Hungary (László Sólyom); see page 2490, retrieved April 1, 2015
  4. ↑ Gheorghe Moroșanu at the Mathematics Genealogy Project
  5. ↑ Moroșanu's Publications in MathSciNet, MathSciNet, American Mathematical Society, retrieved April 1, 2015
  6. ↑ Moroșanu, G. (1988), Nonlinear Evolution Equations and Applications, D. Reidel Publishing Co., Dordrecht-Boston-Lancaster-Tokyo, ISBN 978-90-277-2486-1
  7. ↑ Moroșanu, G. (2013), "Second-order differential equations on R+ governed by monotone operators", Nonlinear Analysis, 83: 69–81, doi:10.1016/j.na.2013.01.007.
  8. ↑ Moroșanu, G. (2014), "Existence results for second-order monotone differential inclusions on the positive half-line", Journal of Mathematical Analysis and Applications, 419: 94–113, doi:10.1016/j.jmaa.2014.04.046.
  9. ↑ Moroșanu, G. (2014), "Existence for second order differential inclusions on R+ governed by monotone operators", Advanced Nonlinear Studies, 14: 661–670.
  10. ↑ Moroșanu, G. (2015), "On a class of second-order differential inclusions on the positive half-line", Zeitschrift für Analysis und Ihre Anwendungen, 34: 17–26, doi:10.4171/ZAA/1526
  11. ↑ Hokkanen, V.-M.; Moroșanu, G. (2002), Functional Methods in Differential Equations, Chapman and Hall/CRC, Boca Raton-London-New York-Washington, D.C., ISBN 978-1-58488-283-1
  12. ↑ Barbu, L.; Moroșanu, G. (2007), Singularly Perturbed Boundary-Value Problems, Birkhäuser, Basel-Boston-Berlin, ISBN 978-3-7643-8330-5
  13. ↑ Ahsan, M.; Moroșanu, G. (2012), "Elliptic-like regularization of semilinear evolution equations", Journal of Mathematical Analysis and Applications, 396: 759–771, doi:10.1016/j.jmaa.2012.07.020.
  14. ↑ Ahsan, M.; Moroșanu, G. (2014), "Asymptotic expansions for elliptic-like regularizations of semilinear evolution equations", Journal of Differential Equations, 257: 2926–2949, doi:10.1016/j.jde.2014.06.004.
  15. ↑ Moroșanu's Research Areas MathSciNet, American Mathematical Society, retrieved April 1, 2015
  16. ↑ Popa, C.C. (December 16, 2014). "100.000 de veghe sub rafturi (volume). Seminarul Al. Myller din Iasi, cea mai veche biblioteca de matematica din Romania si din Estul Europei (in Romanian)". jurnalul.ro. Retrieved March 25, 2015.
  17. ↑ Teișanu, V. (November 15, 2010). "Gheorghe Moroșanu portret sentimental (in Romanian)". momentul.ro. Retrieved April 5, 2015.
  18. ↑ Tonița, F. (March 13, 2014). "Non-valoarea este agresivă și greu de inlăturat. Va fi vina noastră dacă nu facem ceva în această direcție (in Romanian)". stiri.botosani.ro. Retrieved March 25, 2015.
  19. ↑ Observator de Constanta (October 20, 2016). "Titlul de Doctor Honoris Causa al Universitatii Ovidius acordat matematicianului Gh. Morosanu (in Romanian)". observator.ro. Retrieved October 24, 2016.
  20. ↑ List of Schools 2014-2015, Ministry of National Education, Botoșani County (Romania); see page 34, line 181, retrieved April 4, 2015
  21. ↑ stiri.botosani.ro (September 9, 2010). "Gheorghe Moroșanu - Profesorul căruia orașul natal i-a dăruit o școală (in Romanian)". stiri.botosani.ro. Retrieved April 5, 2015.
  22. ↑ Tonița, F. (March 15, 2014). "Satul Teioasa are o poziție specială pe harta lumii... Teioasa nu mai e acolo, Teioasa e atunci (in Romanian)". darabaneni.ro. Retrieved April 5, 2015.
  23. ↑ Gheorghe Moroșanu honorary citizen of Darabani, retrieved April 5, 2015

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