Dr. Cristian Enache | American University of Sharjah
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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

All areas of mathematics

Research areas

PDE's, Geometric Analysis of PDE's, Applicable Analysis, Calculus of Variations

Education

PhD, Mathematics, Laval University, Canada, 2005
MS, Mathematics, Laval University, Canada, 2002
MS, Mathematics, Ovidius University of Constanta, Romania, 2000
BS, Mathematics And Computer Science, Ovidius University of Constanta, Romania, 1999

Professional experience

Associate Professor, Mathematics And Statistics, American University of Sharjah, Sharjah, 2020 - Present
Visiting Assistant Professor, American University of Sharjah, Sharjah, United Arab Emirates, 2016 - 2017
Cncs Researcher, Mathematics, Institute of Mathematics of the Romanian Academy, Bucharest, Romania, 2013 - 2016
Assistant Professor, American University of the Middle East, Egaila, Kuwait, 2014 - 2015
Bitdefender Researcher, Mathematics, Institute of Mathematics of the Romanian Academy, Bucharest, Romania, 2013 - 2013
Posdru Researcher, Ovidius University of Constanta, Constanta, Romania, 2010 - 2013
Visiting Assistant Professor, University of Science and Technology of China, Hefei, China, 2011 - 2011
Cncsis Researcher, Ovidius University of Constanta, Constanta, Romania, 2008 - 2010
Nserc-jsps Researcher, Hiroshima University, Hiroshima, Japan, 2008 - 2008
Nserc-jsps Researcher, Ehime University, Matsuyama, Japan, 2006 - 2008
Lecturer, Laval University, Quebec, Canada, 2003 - 2005
Teaching Assistant, Laval University, Quebec, Canada, 2000 - 2005
Teaching Assistant, Ovidius University of Constanta, Constanta, Romania, 1999 - 2000

Memberships

"Japan Society for the Promotion of Science" Alumni Romania, January 2011
American Mathematical Society, January 2001 - January 2017
Canadian Mathematical Society, January 2001 - January 2017

Contact

[email protected]
+971 6 515 2921

Dr. Cristian Enache

Associate Professor
PhD, Laval University, Canada

Cristian Enache has taught mathematics for more than 10 years at different institutions from North America, Europe, Asia and Middle East. His scientific competences are found at the interference of PDEs, mathematical physics, calculus of variations, analysis and geometry, various tools from these fields of research being used in his works to investigate PDEs modeling physical or geometrical problems. He has won by competition several research fellowships and grants awarded by prestige institutions, such as NSERC and ISM (Canada), CNCS and IMAR (Romania), JSPS (Japan) and AUS (United Arab Emirates).

Publications

Cristian Enache And Giovani Porru. Problems for Generalized Monge-Ampere Equations, Canadian Mathematical Bulletin
Cristian Enache, Mihai Mihailescu And Denisa Stancu-dumitru. A Monotonicity Property of the p-Torsional Rigidity in Convex Domains, Mathematische Zeitschrift, 24 June 2022
Cristian Enache And Giovani Porru. Maximum principles and overdetermined problems for Hessian equations, Advances In Pure And Applied Mathematics, 1 June 2021
Cristian Enache And Mihai Mihailescu. A Monotonicity Property of the p-Torsional Rigidity, Nonlinear Analysis, 5 March 2021
Cristian Enache And Giovanni Porru. A note on Monge-Ampere equation in R^2, Results In Mathematics, 9 January (1st Quarter/Winter) 2021
Cristian Enache And Luminita Barbu. A free boundary problem with multiple boundaries for a general class of anisotropic equations, Applied Mathematics And Computations, 1 December 2019
Cristian Enache And Rafael Lopez. Minimum principles and a priori estimates for some translating soliton type problems, Nonlinear Analysis Theory Methods And Applications, May 2019
Cristian Enache And Luminita Barbu. On a free boundary problem for a class of anisotropic equations, Mathematical Methods In The Applied Sciences, 1 April (2nd Quarter/Spring) 2017
Cristian Enache And Gerard Philippin. On some inequalities for low eigenvalues of closed surfaces in R^3, Applicable Analysis: An International Journal, 1 January (1st Quarter/Winter) 2017
Cristian Enache And Luminita Barbu. Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations, Advances In Nonlinear Analysis, 1 November 2016
Cristian Enache And Luminita Barbu. A Liouville type theorem for a class of anisotropic equations, Analele Stiintifice Ale Universitatii Ovidius Constanta – Seria Matematica, 1 September 2016
Cristian Enache And Gerard Philippin. On some isoperimetric inequalities for frequencies of symmetric fixed membranes, Applied Mathematics Letters, 1 December 2015
Cristian Enache. A note on a Liouville type theorem for p-Laplace equations, Electronic Journal Of Differential Equations, 1 July (3rd Quarter/Summer) 2015
Cristian Enache And Gerard Philippin. On some isoperimetric inequalities involving eigenvalues of symmetric free membranes, Zamm - Journal Of Applied Mathematics And Mechanics / Zeitschrift Fur Angewandte Mathematik Und Mechanik, 1 April (2nd Quarter/Spring) 2015
Cristian Enache. Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampere problems in the plane, Proceedings Of The American Mathematical Society, 1 January (1st Quarter/Winter) 2015
Cristian Enache. Maximum and minimum principles for a class of Monge-Ampere equations in the plane, with applications to surfaces of constant Gauss curvature, Communications On Pure And Applied Analysis, 1 May 2014
Cristian Enache. Maximum principles and isoperimetric inequalities for some Monge-Ampere type problems, Comptes Rendus Mathématique, 1 January (1st Quarter/Winter) 2014
Cristian Enache And Luminita Barbu. A maximum principle for some fully nonlinear elliptic equations with applications to Weingarten hypersurfaces, Complex Variables And Elliptic Equations: An International Journal, 1 December 2013
Cristian Enache And Gerard Philippin. Some inequalities involving eigenvalues of the Neumann Laplacian, Mathematical Methods In The Applied Sciences, 1 November 2013
Cristian Enache And Luminita Barbu. A minimum principle for a soap film problem in R^2, Zeitschrift Für Angewandte Mathematik Und Physik, 1 April (2nd Quarter/Spring) 2013
Cristian Enache And Shigeru Sakaguchi. Some fully nonlinear elliptic boundary value problem with ellipsoidal free boundaries, Mathematische Nachrichten, 1 October (4th Quarter/Autumn) 2011
Cristian Enache. Lower bounds for blow-up time in some nonlinear parabolic problems under Neumann boundary conditions, Glasgow Mathematical Journal, 1 September 2011
Cristian Enache. Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition, Applied Mathematics Letters, 1 March 2011
Cristian Enache. Maximum principles and symmetry results for a class of fully nonlinear elliptic PDE's, No Dea - Nonlinear Differential Equations And Applications, 1 October (4th Quarter/Autumn) 2010
Cristian Enache. Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems, Nonlinear Analysis Theory Methods And Applications, 1 November 2008
Cristian Enache. Maximum Principles for a Class of Nonlinear Second-Order Elliptic Boundary Value Problems in Divergence Form, Boundary Value Problems, 1 December 2006
Cristian Enache. Spatial decay bounds and continuous dependence on the data for the solution of a boundary value problems, Journal Of Mathematical Analysis And Applications, 1 November 2006
Cristian Enache And Gerard Philippin. Some maximum principles for a class of elliptic boundary value problems, Mathematical Inequalities And Applications, 1 October (4th Quarter/Autumn) 2006

Conference Presentations

The first eigenvalue, maximum principle and regularity results for a class of Monge-Ampere type operators, The 10th Congress Of The Romanian Mathematicians, July 2023
On some problems for generalized Monge-Ampere equations, Uae Math Day, March 2023
On some monotonicity properties for the p-torsional rigidity, Workshop Of Pde’s And Applications, February 2023
On two monotonicity results for the p-torsional rigidity, Recent Advances In Analysis And Applications, November 2022
On some monotonicity properties of the p-torsional rigidity, Math Department Seminar, July 2022
Free boundary problems – the maximum principle approach, The 4th International Conference On Applied Mathematics And Numerical Methods, June 2022
On some monotonicity properties of the p-torsional rigidity, 2022 Canadian Mathematical Society Summer Meeting, June 2022
On some maximum principles for P-functions and their applications, Math Department Seminar, 11 March 2021
On some maximum principles for P-functions and their applications, Math Department Seminar, 24 February 2021
A monotonicity property of the p-torsional rigidity, The 3rd International Conference On Applied Mathematics And Numerical Methods, 29 October 2020
A monotonicity property of the p-torsional rigidity,, The 3rd International Conference On Mathematics And Statistics, February 2020
On some a priori estimates for Monge-Ampere equations, with applications to surfaces of prescribed Gauss curvature, Wdea 2019 - The 9th International Workshop On Differetnial Equations And Applications, 26 May 2019
Minimum principles and a priori estimates for some translating solitons type problems, Uae Math Day 2019, 16 March 2019
On some application of the maximum principles to a variety of elliptic and parabolic problems, Math Dept Seminar, American University Of Dubai, 18 February 2019
On some old and new bounds for the eigenvalues of the Laplacian, Math Dept Seminar, University Of Cologne, 7 January 2019

Grants and sponsorships

Grant, Faculty Research Grant (FRG), American University of Sharjah, 31 May 2020 - 31 May 2022
Grant, Seed Grant, 1 September 2017 - 1 September 2019

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