Curriculum vitæ. 1 Professional activities Personal informations Experiences Teaching Research...

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1 SYLVIE MONNIAUX Curriculum vitæ Domain of expertise Themes Harmonic analysis, functional analysis, partial differential equations. Key words Maximal regularity, non autonomous Cauchy problems, evolution equations, elliptic operator of divergence form, non smooth domains, Navier-Stokes equations, non local operators. Contents 1 Professional activities Personal informations Experiences Teaching Research Publications 7 [L] Book [J] International journals [A] Proceedings (with referee reports) [C] Comptes Rendus de l Académie des Sciences [S] Submitted [R] Reports [P] In preparation

2 2 Sylvie Monniaux 1 Professional activities 1.1 Personal informations Name Current position Sylvie MONNIAUX born on January 28th, 1968, in Saint-Germain-en-Laye (France). french citizenship Associate professor, Université Aix-Marseille member of the team Applied Analysis, I2M - CNRS UMR Research grant Prime d Encadrement Doctoral et de Recherche - national research grant ( ) Professional address I2M - UMR Université Aix-Marseille CMI - Technopôle de Château-Gombert 39 rue Frédéric Joliot-Curie MARSEILLE Cédex 13 Phone : Fax : Web page Personnal address sylvie.monniaux@univ-amu.fr 79 rue Breteuil Marseille - France Positions held One year research leave One semester research leave One year research leave. since Sept Associate professor ( maître de conférences ) at the Université Aix-Marseille (France) Assistant professor (BATIIa) at the Universität Ulm (Germany) Teaching assistant at the Université de Franche-Comté (Besançon, France). PhD thesis (advisor: Prof. W. Arendt). Academic degrees Defense of my habilitation at the Université Paul Cézanne (Aix-Marseille 3 - France): Régularité maximale et équations de Navier-Stokes (Maximal regularity and Navier- Stokes equations) Defense of my PhD thesis (advisor: Prof. W. Arendt) at the Université de Franche-Comté (France): Générateur analytique et régularité maximale (Analytic generator and maximal regularity) Master degree in mathematics at the Université de Franche-Comté (France) Student at the École Normale Supérieure de Cachan (Paris, France). Spoken languages French: mother tongue. English and German: fluent.

3 Curriculum Vitæ Experiences Committees national level Conseil National des Universités, 25 eme section (national committee of evaluation - Mathematics). local level Member of the hiring committees of the universities of Aix-Marseille 3 ( and 2010), Aix-Marseille 1 ( ), Besançon ( and 2010) and Paris 6 ( ), Bordeaux, Paris XI and Aix-Marseille (2014) Administration Committee (conseil d administration) of the Université Paul Cézanne. Committee of the Faculty of Sciences (Université Paul Cézanne). since 2008 since 2007 since 1999 since 2007 Nov Nov Oct Mar Scientific Committee (conseil scientifique) of the Université Paul Cézanne. Assistant Director at the Mathematics-Computer sciences-systems Department of the Faculty of Sciences (Université Paul Cézanne). research Referee for several mathematical journals: Math. Z., J. Funct. Anal., Arch. Math., J. of Diff. Eq., J. of Mathematical Physics, J. Aust. Math. Soc., Annales de l Institut Fourier, Electr. J. of Diff. Eq., Control Optimization and Calculus of Variations, Proc. Edinburgh Math. Soc., Pub. Mat., CPAA, DCDS Advisor for acquisition of books at the CIRM (CNRS-SMF) library. Organization of conferences Co-organizer (with F. Alabau and E. M. Ouhabaz) of the 6th Euro-Maghreb meeting Semigroups, evolution equations and applications, at the CIRM, Luminy-France. Co-organizer (with K. Kellay) of the workshop Analyse fonctionnelle, harmonique et applications (Functional and harmonic analysis and applications), at the CIRM. Co-organizer (with E. M. Ouhabaz and V. Zagrebnov) of Operator semigroups, evolution equations and spectral theory in mathematical physics at the CIRM. Organizer of a graduate week Analyse fonctionnelle et équations aux dérivées partielles (Functional analysis and partial differential equations) at the CIRM Co-organizer (with H. Gaussier) of the Analysis seminar, Université Aix-Marseille 1 and Université Aix- Marseille 3. Dec Co-organizer of TULKA Evolutionsgleichungen und Operatorhalbgruppen (Evolution equations and semigroups), at Blaubeuren (Germany). Teaching responsabilities Dec Committee member of PhD thesis defense of C. Poupaud, Université Bordeaux 1 (advisor: Prof. E. M. Ouhabaz) Master advisor for students from the ENS (École Normale Supérieure) Lyon Tutorium for the first academic year students in mathematics Coordinator for the undergraduate studies (first 3 academic years) in mathematics and computer sciences of the Université Paul Cézanne Coordinator for the 3rd academic year (licence) of mathematics studies, Université Aix-Marseille 1 and Université Aix-Marseille Coordinator of a SOCRATES collaboration between the Université Aix-Marseille 3 and the Universität Ulm (Germany) Coordinator of a SOCRATES collaboration between the Universität Ulm (Germany) and the Université Bordeaux 1 (France) and the Université Marne-la-Vallée (France).

4 4 Sylvie Monniaux 1.3 Teaching since 1998 Teaching assignment in France is 192 hours per year. Details of the recent teaching available on my webpage: Aside the usual lectures and exercise tutorials in the first, second and third academic years, I taught the following graduate courses (sometimes also with exercise tutorials): Graduate courses Abroad Oct Fév March 2010 May 2009 May 2000 Lecture (3 hours per week) PDEs in non smooth domains at the TU Darmstadt (Germany), as Gastprofessor during the winter semester Lecture (5 hours) on Maximal regularity and applications to partial differential equations in the Spring School Analytical and numerical aspects of evolution equations, at the Technische Universität Berlin. Lecture (8 hours) on Functional analysis and partial differential equations at the TU Berlin (Germany). The script of the lecture has been published in a de Gruyter Proceedings in Mathematics volume; also available on my webpage. Lecture (8 hours) on Analytic generator and maximal regularity at the University of Puerto-Rico (USA) Universities Aix-Marseille 2011 Lecture (5th academic year - 24 hours) Applications de la théorie de Calderón- Zygmund aux problèmes au bord (Calderón-Zygmund theory and boundary value problems) and 2009 Lecture (4th academic year - 24 hours) Géométrie et analyse (Geometry and Analysis - Differential geometry). Script, exercise sheets and written exams (in french) available online Lecture (5th academic year - 24 hours) Semi-groupes engendrés par des formes. Application aux équations de Navier-Stokes (Semigroups generated by forms, application to Navier-Stokes equations). 2005, 2006 and 2007 Lecture (4th academic year - 24 hours) Analyse de Fourier (Fourier analysis). Script, exercise sheets and written exams (in french) available online. Research projects 2000 Lecture (5th academic year - 12 hours) Équations de Navier-Stokes, partie 2 (Navier-Stokes equations, part 2) Advisor for Master 1 students (4th academic year) Assistant Professor in Ulm, Germany. Exercise tutorials for the following lectures: Funktionalanalysis (Wintersemester ) Differential- und Integralrechnung 1 (Sommer- und Wintersemester ) Lineare Algebra (Sommersemester 1996) Differential- und Integralrechnung 2 (Sommersemester 1997) Funktionalanalysis (Wintersemester ) Oberseminar Funktionalanalysis (Wintersemester ) Proseminar Differentialgleichungen (Sommersemester 1998) Teaching Assistant in Besançon, France.

5 Curriculum Vitæ Research Invitations abroad May 2013 June 2012 Mar-Apr Oct Mar Aug-Sept Apr Jan.-Feb May 2009 Apr Nov Apr Feb.-Mar Jun.-Dec May 2000 Two weeks at the ICMAT, Madrid (Spain). Two weeks at Temple University, Philadelphia (Pennsylvania - USA). Three weeks at the University of Missouri-Columbia (USA). Invited professor during the winter semester at the Technische Universität Darmstadt (Germany). 6 weeks at the Australian National University (ANU), Canberra (Australia). Two weeks at the University of Missouri-Columbia (USA). Three weeks in the program Research in pairs in Oberwolfach (Germany), with Dorina and Marius Mitrea. One month (Luftbrückendank Foundation Scholarship) at the TU Berlin (Germany). Two weeks (UMC Miller Scholarship) at the University of Missouri-Columbia (USA). One month (UMC Miller Scholarship) at the University of Missouri-Columbia (USA). One month at the Australian National University (ANU), Canberra (Australia). Two months (UMC Miller Scholarship) at the University of Missouri-Columbia (USA). Six months at the ANU, Canberra (Australia). One month at the University of Puerto-Rico, San-Juan (USA). Invited collaborators Apr Jun Dec Jan Jun Wolfgang Arendt, professor at the Universität Ulm (Germany) (two weeks at the I2M). D. and M. Mitrea, professors at the University of Missouri-Columbia (two months at the Université Aix-Marseille 3). S. Hofmann, professor at the University of Missouri-Columbia (one month at the Université Aix-Marseille 3). M. Mitrea, professor at the University of Missouri-Columbia (one month at the Université Aix-Marseille 3). International conferences over the last 10 years Forthcoming Mai 2014 Mar Vorticity, Rotation and Symmetry III (Analyse des Situations Limites en Théorie des Fluides) au CIRM. Workshop Maxwell-Stefan meets Navier-Stokes-Modeling and Analysis of Reactive Multi-Component Flows, à Halle (Allemagne). In the last 10 years Jan Oct Oct June 2013 Fluid-Snow Workshop, à La Clusaz :Traces of vector fields in non smooth domains. Colloque EDP Normandie, à Caen : Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux. Journées GDR Analyse fonctionnelle, harmonique et probabilités, à Lyon : Traces et inégalité de Poincaré dans des domaines spéciaux Lipschitz. Symposium Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, à Herrnhut (Allemagne) :The Hodge Laplacian with Robin-type boundary conditions in bounded Lipschitz domains.

6 6 Sylvie Monniaux Feb Oct July 2012 June 2012 Oct May 2011 Oct June 2010 Mar May 2009 Sept May 2008 Feb Nov Workshop Geophysical Fluid Dynamics, au MFO (Oberwolfach, Allemagne) : Hodge-Navier- Stokes equations with Robin boundary conditions in bounded Lipschitz domains. Workshop Mathflows, à Porquerolles : Robin boundary conditions for the Navier-Stokes system in Lipschitz domains. Workshop Complex fluids, à Darmstadt (Allemagne) : The Navier-Stokes-Coriolis system in (unbounded) domains. Euro-Maghrebian Workshop, à Lecce (Italie) : The divergence theorem involving the pointwise nontangential trace. Evolution equations: randomness and asymptotics à Bad Herrenalb (Allemagne) : Maximal regularity in tent spaces. Vorticity, Rotation and Symmetry II at the CIRM : Navier-Stokes equations in bounded domains: various boundary conditions. GDR AFHA, in Metz (France); title of the talk: Metrization of quasi-metric spaces. 13th Internet Seminar in Kàcov (Czech Republic); title of the talk: The Stokes operator in bounded domains. Mathematical Theory on the Navier-Stokes equations in rough domains, in Sapporo (Japan); title of the talk: The Navier-Stokes equations in non smooth domains. International Conference Nonlinear Parabolic Problems in honor of Herbert Amann, in Bedlewo (Poland): Maximal regularity for the Lamé semigroup. International Workshop Mathematical Fluid Dynamics at Technische Universität Darmstadt (Germany): The Stokes operator with Neumann boundary conditions in Lipschitz domains. Vorticity, rotation and symmetry - stabilizing and destabilizing fluid motion at the CIRM. Workshop of Harmonic Analysis and Partial Differential Equations in Mérida (Yucatán, Mexico): The Hodge-Navier-Stokes system. Heat kernels in mathematics and physics in Blaubeuren (Germany): The Hodge-Laplacian in Lipschitz domains. Aug EVEQ 2006, in memory of Günter Lumer in Mons (Belgium) and Valenciennes (France): Navier-Stokes equations in Lipschitz domains with natural boundary conditions. Oct Jul Jul Dec Evolution equations and applications to physics and life sciences at the CIRM: On mild solutions of the Navier-Stokes equations in arbitrary domains. EquaDiff in Bratislava (Slovaquia): Navier- Stokes equations in Lipschitz domains. Spectral theory in Banach spaces and harmonic analysis at the Mathematisches Forschungsinstitut Oberwolfach (MFO) (Germany). PDE s in rough environments in Schmitten (Germany): Analyticity of the Stokes semigroup in 3D Lipschitz domains. Research seminars over the last 10 years 2013 University Paris 6 (France) Universities of Karlsruhe (Germany), Paris 6 (France) Universities of Caen, Aix-Marseille (France) Universities of Grenoble, Lille (France), Berlin (Germany) Universities of Aix-Marseille, Rennes, Lyon, Chambéry (France) Universities of Metz, Le Havre (France) University of Rennes (France) Universities of Ulm (Germany), Missouri-Columbia (USA) Universities of Besançon (France), Darmstadt (Germany).

7 Curriculum Vitæ 7 2 Publications Available on: Book [L1] D. Mitrea, I. Mitrea, M. Mitrea, and S. Monniaux. Groupoid metrization theory. Applied and Numerical Harmonic Analysis. Birkhäuser/Springer, New York, With applications to analysis on quasi-metric spaces and functional analysis. International Journals [J1] M. Hieber and S. Monniaux. Well-posedness results for the Navier-Stokes equations in the rotational framework. Discrete Contin. Dyn. Syst., 33(11-12): , [J2] S. Monniaux. Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains. Discrete Contin. Dyn. Syst. Ser. S, 6(5): , [J3] P. Auscher, C. Kriegler, S. Monniaux, and P. Portal. Singular integral operators in tent spaces. J. Evol. Eq., 12(4): , [J4] P. Auscher, S. Monniaux, and P. Portal. The maximal regularity operator on tent spaces. Comm. Pure Appl. Anal., 11(6): , [J5] S. Hofmann, M. Mitrea, and S. Monniaux. L p -bounds for the Riesz transform associated to the Hodge-Laplacian in Lipschitz domains. Annales de l Institut Fourier, 61: , [J6] M. Mitrea, S. Monniaux, and M. Wright. The Stokes operator with Neumann boundary conditions in Lipschitz domains. Journal of Mathematical Sciences (N.Y.), 176: , [J7] M. Mitrea and S. Monniaux. Maximal regularity for the Lamé system in certain classes of non-smooth domains. J. Evol. Equ., 10(4): , [J8] M. Mitrea and S. Monniaux. The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains. Differential Integral Equations, 22(3-4): , [J9] M. Mitrea and S. Monniaux. On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds. Trans. Amer. Math. Soc., 361(6): , [J10] D. Mitrea, M. Mitrea, and S. Monniaux. The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains. Commun. Pure Appl. Anal., 7(6): , [J11] M. Mitrea and S. Monniaux. The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains. J. Funct. Anal., 254(6): , [J12] S. Monniaux. Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme. Math. Res. Lett., 13(2-3): , [J13] S. Monniaux. Unicité dans L d des solutions du système de Navier-Stokes: cas des domaines lipschitziens. Ann. Math. Blaise Pascal, 10(1): , [J14] S. Monniaux. On uniqueness for the Navier-Stokes system in 3D-bounded Lipschitz domains. J. Funct. Anal., 195(1):1 11, [J15] M. Hieber and S. Monniaux. Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Proc. Amer. Math. Soc., 128(4): , [J16] M. Hieber and S. Monniaux. Heat-kernels and maximal L p -L q -estimates: the non-autonomous case. J. Fourier Anal. Appl., 6(5): , [J17] S. Monniaux and A. Rhandi. Semigroup methods to solve non-autonomous evolution equations. Semigroup Forum, 60(1): , 2000.

8 8 Sylvie Monniaux [J18] S. Monniaux. A new approach to the Dore-Venni theorem. Math. Nachr., 204: , [J19] S. Monniaux. A perturbation result for bounded imaginary powers. Arch. Math. (Basel), 68(5): , [J20] S. Monniaux and J. Prüss. A theorem of the Dore-Venni type for noncommuting operators. Trans. Amer. Math. Soc., 349(12): , Proceedings (with referee reports) [A1] D. Mitrea, M. Mitrea, and S. Monniaux. Weighted Sobolev space estimates for a class of singular integral operators. In Around the research of Vladimir Maz ya. III, volume 13 of Int. Math. Ser. (N. Y.), pages Springer, New York, [A2] S. Monniaux. Maximal regularity and applications to PDEs. In Analytical and numerical aspects of partial differential equations, Notes of a lecture series, pages W. de Gruyter, [A3] W. Arendt and S. Monniaux. Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. In Partial differential operators and mathematical physics (Holzhau, 1994), volume 78 of Oper. Theory Adv. Appl., pages Birkhäuser, Basel, Comptes Rendus de l Académie des Sciences [C1] S. Monniaux. Uniqueness of mild solutions of the Navier-Stokes equation and maximal L p -regularity. C. R. Acad. Sci. Paris Sér. I Math., 328(8): , Résultat original. [C2] M. Hieber and S. Monniaux. Noyaux de la chaleur et estimations mixtes L p -L q optimales: le cas non autonome. C. R. Acad. Sci. Paris Sér. I Math., 328(3): , Reprend les résultats de [J15] et [J16]. Submitted [S1] S. Monniaux. Traces of non regular vector fields in Lipschitz domains. 8 pp., Reports [R1] S. Monniaux. Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux. Proceedings de la conférence EDP-Normandie 2013, 12 pp. [R2] S. Monniaux. On the Navier-Stokes equations in unbounded domains. 6 pp., Ulmer Seminare, [R3] S. Monniaux. Régularité maximale et équations de Navier-Stokes. Mémoire d habilitation à diriger des recherche, Université Paul Cézanne, [R4] S. Monniaux. Générateur analytique et régularité maximale. Thèse, Université de Franche-Comté, In preparation [P1] P. Auscher, S. Monniaux, and P. Portal. Non autonomous Cauchy problem [P2] S. Monniaux and J. Saal. Robin boundary conditions for the Stokes operator in 3D-bounded Lipschitz domains [P3] M. Hieber and S. Monniaux. The Navier-Stokes-Coriolis system in domains [P4] S. Monniaux and E.M. Ouhabaz. conditions Maximal regularity for the Stokes problem with non autonomous Robin boundary