Enache cv

Curriculum Vitae

CRISTIAN ENACHE

Office Address: Department of Mathematics and Statistics, Laval University1045, av. de la Medecine, Quebec, QC G1V 0A6, Canada

Home Address: 3315 Rue France-Prime, App. 207, Quebec, QC G1W 4X3, CanadaPhone: +1 (418) 656-2131 Ext. 5660 (work), +1 (418) 478-3898 (home)Email Address: [email protected]: https://www.researchgate.net/profile/Cristian Enache3Citizenship: Canadian, Romanian

Education

2005 Ph.D. Mathematics, Laval University, Quebec (advisor: Prof. Gerard A. Philippin)2002 M.Sc. Mathematics, Laval University, Quebec (advisor: Prof. Gerard A. Philippin)2000 M.Sc. Mathematics, Ovidius University of Constanta (advisor: Prof. Constantin Varsan)1999 B.Sc. Mathematics & Computer Science, Ovidius University of Constanta

Professional History

2013 – 2015 CNCS Researcher, Institute of Mathematics of the Romanian Academy2014 – 2015 Assistant Professor, American University of the Middle East (affiliated with Purdue U.)2013 – 2013 BITDEFENDER Researcher, Institute of Mathematics of the Romanian Academy2010 – 2013 POSDRU Researcher, Ovidius University of Constanta2009 – 2012 Assistant Professor, Ovidius University of Constanta2008 – 2010 CNCSIS Researcher, Ovidius University of Constanta2008 – 2008 NSERC-JSPS Researcher, Hiroshima University2006 – 2008 NSERC-JSPS Researcher, Ehime University2003 – 2005 Lecturer, Laval University2000 – 2005 Teaching Assistant, Laval University1999 – 2000 Teaching Assistant, Ovidius University of Constanta

Short-term visiting positions

2016 30.01 - 30.03 Tohoku University, Sendai, Japan (Prof. Shigeru Sakaguchi)2015 15.08 - 23.11 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)2013 24.03 - 27.05 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)2012 01.10 - 30.11 University of Cologne, Cologne, Germany (Prof. Bernd Kawohl)

01.03 - 30.04 University of Florence, Florence, Italy (Prof. Paolo Salani)2011 15.09 - 10.12 University of Science and Technology of China, Hefei, China (Prof. Xi-Nan Ma)

23.07 - 15.08 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)2010 13.10 - 27.10 Lisbon University, Lisbon, Portugal (Prof. Pedro Freitas)

05.11 - 30.10 Lisbon University, Lisbon, Portugal (Prof. Pedro Freitas)19.08 - 29.09 Hiroshima University, Higashi-Hiroshima, Japan (Prof. Shigeru Sakaguchi)

2009 21.11 - 05.12 Elie Cartan Institute, Nancy, France (Prof. Antoine Henrot)05.11 - 20.11 Savoie University, Chambery, France (Prof. Dorin Bucur)01.10 - 31.10 Pontifica Universidad Catolica de Chile, Santiago, Chile (Prof. Rafel Benguria)01.09 - 30.09 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)22.03 - 06.04 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)08.03 - 21.03 Cornell University, Ithaca, USA (Prof. Lawrence E. Payne)26.02 - 07.03 Laval University, Quebec, Canada (Prof. Gerard A. Philippin)

Research interests

Partial Differential Equations, Mathematical Physics, Applicable Analysis and Geometric Analysis

CRISTIAN ENACHE CURRICULUMVITAE 2

Awards, Honors, Research Funding

2013 – 2015 CNCS Research Grant PN-II-ID-PCE-2012, Romania

2013 – 2013 BITDEFENDER PD Fellowship, Romania

2010 – 2013 POSDRU Research Fellowship 89/1.5/S/58852, Romania

2008 – 2010 CNCSIS Research Grant PN-II-RU-RP-2008, Romania

2006 – 2008 JSPS Grant-in-Aid for Scientific Research, Japan

2006 – 2008 NSERC-JSPS Postdoctoral Fellowship, Japan

2006 – 2008 NSERC Visiting/Industrial R&D Fellowship, Canada [declined]

2003 – 2004 CRM Research and Travel bursary, Canada

2000 – 2004 ISM Distinguished Doctoral Fellowship (4 times), Canada

Publications

Peer-reviewed articles

19. (with Luminita Barbu) Some maximum principles for a general class of quasilinear anisotropicequations and applications, Advances in Nonlinear Analysis, to appear.

18. (with Luminita Barbu) A Liouville type theorem for a class of anisotropic equations, AnaleleStiintifice ale Universitatii Ovidius Constanta Seria Matematica, to appear.

17. Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampere problemsin the plane, Proceedings of the American Mathematical Society 143(1) (2015), 309-315.

16. (with Gerard A. Philippin) On some isoperimetric inequalities involving eigenvalues of symmetricfree membranes, Zeitschrift fuer Angewandte Mathematik und Mechanik 95(4) (2015), 424-430.

15. (with Gerard A. Philippin)On some isoperimetric inequalities involving eigenvalues of fixed mem-branes, Applied Mathematics Letter, 50 (2015), 10-15.

14. A note on a Liouville type theorem for p-Laplace equations, Electronic Journal of DifferentialEquations 182 (2015), 1-7.

13. Maximum and minimum principles for a class of Monge-Ampere equations in the plane, with ap-plications to surfaces of constant Gauss curvature, Communications on Pure and Applied Analysis13(3) (2014), 1347-1359.

12. Maximum principles and isoperimetric inequalities for some Monge-Ampere type problems, ComptesRendus de l’Acadmie des Sciences Paris Series I - Mathematics 352 (2014), 37-42.

11. (with Gerard A. Philippin) Some inequalities involving eigenvalues of the Neumann Laplacian,Mathematical Methods in the Applied Sciences 36 (2013), 2145-2153.

10. (with Luminita Barbu) A maximum principle for some fully nonlinear elliptic equations withapplications to Weingarten hypersurfaces, Complex Variables and Elliptic Equations 58 (2013),1725-1736.

9. (with Luminita Barbu) A minimum principle for a soap film problem in R2, Zeitschrift fuer

angewandte Mathematik und Physik 64 (2013), 321-328.

8. (with Shigeru Sakaguchi) Some fully nonlinear elliptic boundary value problems with ellipsoidalfree boundaries, Mathematische Nachrichten 284 (2011), 1872-1879.

7. Lower bounds for blow-up time in some nonlinear parabolic problems under Neumann boundaryconditions, Glasgow Mathematical Journal 53 (2011), 569-575.

6. Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition,Applied Mathematics Letters 24 (2011), 288-292.

5. Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs, NODEANonlinear Differential Equations and Applications 17(5) (2010), 591-600.


4. Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolicproblems, Nonlinear Analysis: Theory, Methods & Applications 69 (2008), 2864-2874.

3. Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems, Journal of Mathematical Analysis and Applications 323 (2006), 993-1000.

2. Some maximum principles for a class of elliptic boundary value problems, Mathematical Inequal-ities and Applications 9(4) (2006), 695-706.

1. Maximum Principles for a Class of Nonlinear Second-Order Elliptic Boundary Value Problemsin Divergence Form, Boundary Value Problems (2006), 13p.

Submitted papers/Preprints

3. (with Josep Batle, Mahmoud Abdel-Aty, Choon-Lin Ho) Optimal effective mass distribution m(z)for a particle in 1D and 2D heterojunctions, submitted to Physical Review A.

2. (with Rafael Lopez) Maximum and minimum principles for some prescribed mean curvatureequations, preprint.

1. Some Liouville type theorems for a class of Monge-Ampere equations, preprint

Drafts/Works in progress

6. On the hot spot conjecture of J. Rauch.

5. On the Pompeiu-Schiffer conjecture.

4. (with Shigeru Sakaguchi) Pseudo-hessian equations: Existence, Regularity, Concavity.

3. A Cauchy-Liouville type theorem for fourth-order elliptic equations.

2. (with Luminita Barbu) A necessary condition of solvability for a free soap film problem.

1. On some convexity results for a general class of mean curvature type equations, draft

Conference talks

2015 Oct. Maximum principles and isoperimetric estimates for a class of Monge-Ampere equations, withapplications to surfaces of constant Gauss curvatureAMS Central Fall Sectional Meeting, Chicago, USA

June Maximum and minimum principles for a class of Monge-Ampere equations, with applicationsto surfaces of constant Gauss curvatureCMS Summer Meeting, Charlottetown, Canada

2014 Aug. Maximum and minimum principles for a class of Monge-Ampere equations in the plane, withapplications to surfaces of constant Gauss curvatureXII-eme Colloque Franco-Roumain de Maths Appliquees, Univ. of Lyon, France

2013 June On some convexity results for mean curvature type equationsJoint International Meeting of the AMS and the RMS, Alba-Iulia, Romania

2012 Aug. Principes du minimum et estimations geometriques pour certains problemes de capillariteXI-eme Colloque Franco-Roumain de Maths Appliquees, Univ. of Bucharest, Romania

June Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundariesNew Trends in Shape Optimization, CRM Ennio DeGiorgi, Italy

June Minimum principles and geometric a priori bounds for some capillary problems in the planeWorkshop on Geometry of Interfaces and Capillarity, Granada Univ., Spain

2011 Nov. On some inequalities involving eigenvalues of the Neumann LaplacianThe Yangtze River Delta Conference on PDE’s, Ning Bo Univ., China

Jul. On some bounds estimates for means of low eigenvalues of the Neumann Laplacian7th Congress of Romanian Mathematician, Transilvania Univ., Romania


2010 Aug. Bounds on the product of low eigenvalues of the Neumann Laplacian13th Hiroshima Applied Math. Seminar, Hiroshima Univ., Japan

2008 Sep. Maximum principles and symmetry results for a class of fully nonlinear elliptic PDE’s9th Hiroshima Applied Analysis Seminar, Hiroshima Univ., Japan

2005 July Some a priori bounds for the Poisson equation on riemannian manifoldsInt. Workshop on Differential Equations and Dynamical Systems, Guelph Univ., Canada

June Decay bounds and continuity results for a semilinear diffusion equationCanadian Mathematical Society Summer Meeting, Waterloo Univ., Canada

May On the spectrum of the Riemannian manifoldsISM-Wide Graduate Student Conference, UQAM, Canada

2004 Aug. Continuous dependence on the initial data for a heat equation in a long cylindrical regionInt. Conf. on Nonl. Operators, Diff. Eqs and Applications, Babes-Bolyai Univ., Romania

June Some a priori bounds for a class of nonlinear elliptic problemsCanadian Mathematical Society Summer Meeting, Dalhousie Univ., Canada

Apr. On some a priori bounds for Poisson equationISM-Wide Graduate Student Conference, Montreal Univ., Canada

2003 Apr. Maximum principles and symmetry for some nonlinear elliptic equationsISM-Wide Graduate Student Conference, Laval Univ., Canada

Seminar talks

2015 Now. Maximum principles and some applications to surfaces of constant Gauss curvatureUniv. of Ottawa Seminar, Ottawa, Canada

Sep. Maximum principles and some applications to surfaces of constant Gauss curvatureLaval Univ. Seminar, Quebec, Canada

Mar. On some applications of the maximum principles in geometry and physicsAmerican Univ. of the Middle East Seminar, Egailla, Kuwait

2013 Oct. Maximum principles, symmetry results and isoperimetric inequalities for some fully nonlinearproblems, with applications to the theory of surfaces of constant gaussian/scalar curvatureOvidius Univ. Seminar, Constanta, Romania

May On some convexity results for mean curvature type equationsOvidius Univ. Seminar, Constanta, Romania

2012 Oct. A short survey on P-functions and their applicationsUniv. of Cologne Seminar, Cologne, Germany

May Problems with free boundaries. Bernoulli problemsOvidius Univ. Seminar, Constanta, Romania

Apr. On some inequalities involving eigenvalues of the Neumann LaplacianFlorence Univ. Seminar, Florence, Italy

Apr. Maximum principles and their applications to the study of physical and geometrical problemsFlorence Univ. Seminar, Florence, Italy

Jan. On some classes of hypersurfaces of prescribed curvaturesOvidius Univ. Seminar, Constanta, Romania

2011 Mar. On some blow-up phenomena in parabolic problemsOvidius Univ. Seminar, Constanta, Romania

2010 Dec. Uniqueness of the critical points of the solutions to some capillary problems in R2

Ovidius Univ. Seminar, Constanta, Romania

Nov. Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundariesLisbon Univ. Seminar, Lisbon, Portugal

Mar. On some elements of Geometric Analysis of Mathematical Physics EquationsOvidius Univ. Seminar, Constanta, Romania


2009 Nov. Inegalites isoperimetriques pour les valeurs propres du Laplacian-NeumannUniv. de Savoie Seminar, Chambery, France

Oct. Bounds on the product of the first two non-trivial frequencies of a free membranePontifical Catholic Univ. of Chile Seminar, Santiago, Chile

Oct. Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundariesPontifical Catholic Univ. of Chile Seminar, Santiago, Chile

Sep. Quelques problemes elliptiques completement non-lineaires a frontiere libre ellipsoidaleLaval Univ. Seminar, Quebec, Canada

Feb. Spectral Geometry in Mathematical Physics. Isoperimetric InequalitiesOvidius Univ. Seminar, Constanta, Romania

Jan. Some fully nonlinear elliptic problems with ellipsoidal free boundariesOvidius Univ. Seminar, Constanta, Romania

2008 Apr. On some fully nonlinear overdetermined problems with ellipsoidal free boundariesHiroshima Univ. Seminar, Hiroshima, Japan

2006 Nov. Some applications of the maximum principles to the study of the PDE’s propertiesEhime Univ. Seminar, Matsuyama, Japan

2005 June Some maximum principles and applications to elliptic and parabolic problemsBishop Univ. Seminar, Lennoxville, Canada

2002 Feb. On positive harmonic functionsLaval Univ. Seminar, Quebec, Canada

Other participations in international workshops/conferences

2012 July Geometric inequalities in Calculus of Variations, CRM Ennio DeGiorgi, ItalyMay Shape optimization problems and spectral theory, CIRM Marseille, FranceMay Workshop for Young Researchers in Mathematics (2nd edition), Ovidius Univ., Romania

2011 Sep. USTC/NUS Mathematical Workshop, Univ. of Science and Technology of China, ChinaAug. The 10th Intl Workshop on Diff. Geometry and its Applications, Ovidius Univ., RomaniaJul. Geometric properties of solutions of nonlinear PDEs and their applications, BIRS, CanadaJuly 7th Congress of Romanian Mathematician, Transilvania Univ., RomaniaMay Workshop for Young Researchers in Mathematics (1st edition), Ovidius Univ., Romania

2009 Nov. Journees EDP Rhone-Alpes-Auvergne (7-ieme edition), Inst. Fourier Grenoble, France2008 Sep. 3rd Euro-Japanese Workshop on Blow-up, Tohoku Univ., Japan

Sep. 9th Hiroshima Applied Analysis Seminar, Hiroshim Univ., JapanAug. The 33rd Sapporo Symposium on Partial Differential Equations, Hokkaido Univ., JapanJune Problems in the Calculus of Variations and Related Topics, RIMS Kyoto, JapanJune Viscosity solutions of differential equations and Related Topics, RIMS Kyoto, JapanFeb. 8th Matsuyama Analysis Seminar, Ehime Univ., Japan

2007 Dec. Recent Advances in Nonlinear Parabolic and Elliptic Diff. Eqns., Ryukoku Univ., JapanJune Int. Conference for the 25th Anniversary of Viscosity Solutions, Tokyo Univ., JapanFeb. Workshop on Inverse Problems, Tsukuba Univ., JapanFeb. 7th Matsuyama Analysis Seminar, Ehime Univ., Japan

2006 Oct. Recent Topics on Differential Equations, Gunma Univ., Japan2004 Dec. Canadian Mathematical Society Winter Meeting, McGill Univ., Canada

Aug. Workshop on Spectral Theory of Schrodinger Operators, CRM Montreal, CanadaJune Workshop on Semi-classical Theory of Eigenfunctions and PDE’s II, Fields Institute, CanadaJune Workshop on Semi-classical Theory of Eigenfunctions and PDE’s I, CRM Montreal, CanadaMar. Workshop on Spectral Geometry, CRM, Canada

2003 Oct. Conference on Classical Analysis in honor of Paul Koosis, CRM Montreal, Canada2001 Sep. 4th Operator Algebras and Mathematical Physics Int. Conf., Ovidius Univ., Romania1999 Aug. 7th Conf. on Nonl. Anal., Num. Anal., Appl. Math. and Inf., Ovidius Univ. Romania

July Summer School in Nonlinear Analysis, Transilvania Univ., Romania


Organizing activities (workshops/conferences)

2015 May Organizer of Workshop for Young Researchers in Mathematics (5th edition), OvidiusUniv., Constanta, Romania

2014 May Organizer of Workshop for Young Researchers in Mathematics (4th edition), OvidiusUniv., Constanta, Romania

2013 May Organizer of Workshop for Young Researchers in Mathematics (3rd edition), OvidiusUniv., Constanta, Romania

2012 May Organizer of Workshop for Young Researchers in Mathematics (2nd edition), OvidiusUniv., Constanta, Romania

2011 May Organizer of Workshop for Young Researchers in Mathematics, (1st edition), OvidiusUniv., Constanta, Romania

Referee and review activities

Abstract and Applied AnalysisAnalele Universitatii Ovidius din ConstantaApplicable AnalysisApplied Mathematics & ComputationsApplied Mathematics LettersBoundary Value ProblemsComputers and Mathematics with ApplicationsDifferential Equations and ApplicationsDiscrete and Continuous Dynamical Systems - Series S (DCDS-S)Electronic Journal of Differential EquationsJournal of Mathematical Analysis and ApplicationsMathematical ReviewZeitschrift fuer Angewandte Mathematik und Physik (ZAMP)

Memberships

American Mathematical SocietyCanadian Mathematical Society”Japan Society for the Promotion of Science” Alumni Romania

Teaching activities

Courses taught at American University of the Middle East (Kuwait)

2015 Sum. Multivariate Calculus [15 hours/week; 2 sections]

Basic Mathematics [7.5 hours/week; 1 section]

Spr. Geometry and Calculus I [6 hours/week; 2 sections]

Multivariate Calculus [12 hours/week; 4 sections]

2014 Fall Geometry and Calculus I [9 hours/week; 3 sections]

Multivariate Calculus [6+2 hours/week; 2 sections]

Sum. Multivariate Calculus [20 hours/week; 2 sections]

Spr. Geometry and Calculus I [15 hours/week; 5 sections]

Courses taught at Univ. of Science and Technology of China (China)

2011 Fall Maximum principles and their applications [2.5 hours/lecture/week]

Courses taught at Ovidius Univ. (Romania)

2013 Spr. Convexity and starshapedness in PDE’s [2 hours/lecture/week]

2011 Spr. Liouville-Type Theorems for Elliptic Problems [2 hours/lecture/week]


2010 Spr. Brunn-Minkowski Inequalities in Geometry and Mathematical Physics [2 hours/lecture/week]

2009 Fall Introduction in the Theory of Stochastic Differential Equations [2 hours/lecture/week]

Spr. Spectral Geometry in Mathematical Physics [2 hours/lecture/week]

Courses taught at Laval Univ. (Canada)

2004 Fall Mathematics for Engineers III [3 hours/lecture/week]

2004 Sum. Mathematics for Engineers III [3 hours/lecture/week]

2003 Sum. Mathematics for Engineers III [3 hours/lecture/week]

Recitations led at Laval Univ. (Canada)

2000 – 2005 Mathematics for Engineers I, II and III, Mathematics for Scientists, Numerical Analysisfor Engineers, Classical Algebra, Introduction in Linear Algebra, Geometry for PrimarySchool Education Teching

Recitations led at Ovidius Univ. (Romania)

1999 – 2000 Ordinary Differential Equations, Integral Equations, Mathematics for Engineers I andII, Mathematics for Scientists

Special teaching activities

2000 – 2005 Instructor at Centre de depannage et d’apprentissage en mathematiques et statistique(CDA), Univ. Laval, Quebec, Canada

References

Gerard A. PHILIPPIN (MSc&PhD advisor)Department of Mathematics and StatisticsLaval UniversityQuebec, G1V 0A6, [email protected]

Xi-Nan MADepartment of MathematicsUniversity of Science and Technology of ChinaHefei, 230 026, [email protected]

Antoine HENROTl’Institut Elie CartanUniversiote de Lorraine54506 Vandoeuvre-ls-Nancy Cedex, [email protected]

Armen BAGDASARYAN (teaching)Department of Mathematics and StatisticsAmerican University of the Middle EastBlock 3, Al-Eqaila, [email protected]

Shigeru SAKAGUCHI (PD advisor)Graduate School of Information SciencesTohoku UniversitySendai, 980-8579, [email protected]

Bernd KAWOHLMathematical InstituteUniversity of CologneCologne, 50923, [email protected]

Mihai MIHAILESCUDepartment of MathematicsUniversity of CraiovaCraiova, 200585 , [email protected]

Paolo SALANIDepartment of MathematicsUniversity of FlorenceFlorence, 50134, [email protected]

Enache cv

Education

Transcript of Enache cv