Welcome

Here is my webpage. Please do not hesitate to send me your comments and remarks.

• Here are my personal data if you want to join me:
  
  

  Sylvain Ervedoza

  Institut de Mathématiques de Toulouse

  Equipe MIP

  Université Paul Sabatier & CNRS

  118 route de Narbonne

  F-31062 Toulouse Cedex 9

  Mail: sylvain.ervedoza@math.univ-toulouse.fr

• Co-organizer of the Seminar MIP with F. Chazel, A. Lozinski, A. Rondepierre. (Co-organizer since 2009)
• Member of the organizing committee of the Conference Control of Fluid-Structure Systems and Inverse Problems (June 25--28, 2012)
• Since 2011, associate editor to the Journal Mathematical Control and Related Fields.
• A curriculum (in french).
• Articles:

• On the perfectly matched layers: Energy decay for 1d continuous and semi-discrete waves, with Enrique Zuazua. Numerische Mathematik, 2008, 109(4), pages 597-634. The original publication is available at http://www.spingerlink.com/.
• On the mixed finite element method for the 1d wave equation on non-uniform meshes, final version, ESAIM:COCV, 2010, no.2, p. 298-326. DOI: 10.1051/cocv:2008071.
• On the controllability of time-discrete conservative linear systems, with Chuang Zheng and Enrique Zuazua. Final version in Journal of Functional Analysis, 2008, 254(12), pages 3037-3078, DOI: 10.1016/j.jfa.2008.03.005.
• Control and stabilization properties for a singular heat equation with an inverse square potential. Final version in Communications in PDE, 2008, 33(11), pages 1996-2019, DOI:10.1080/03605300802402633.
• Uniformly exponentially stable approximations for a class of damped systems, with Enrique Zuazua, final version in Journal de Mathématiques Pures et Appliquées, 2009, 91(1), pages 20-48, DOI:10.1016/j.matpur.2008.09.002.
• Approximate controllability for a system of Schroedinger equations modeling a single trapped ion, with Jean-Pierre Puel, Final version in Annales de l'Institut Henri Poincaré : Analyse non linéaire. 26(6) 2009, p. 2111-2136
• Spectral conditions for admissibility and observability of Schrœdinger systems: Applications to finite element discretizations, in Asymptotic Analysis 71, 2011, no. 1-2p. 1-32.
• Spectral conditions for admissibility and observability of wave systems, Numerische Mathematik, 2009, 113(3), pages 377-415. The original publication is available at http://www.spingerlink.com/.
• Uniform observability estimates for the 1-D discretized wave equation and the random choice method, with Jean-Michel Coron et Olivier Glass, Comptes rendus de l'Académie des Sciences : Mathématiques, 2009, 347(9-10), pages 505--510, original publication.
• On the observability of abstract time-discrete linear conservative systems, with Julie Valein, final version, in Revista Matematica Complutense, 23, no. 1 p. 163-190. DOI:10.1007/s13163-009-0014-y.
• A systematic method for building smooth controls for smooth data, with Enrique Zuazua, final version Discrete Contin. Dyn. Syst. Ser. B 14 (2010), no. 4, 1375-1401.
• Sharp observability estimates for heat equations, with Enrique Zuazua, to appear in Archive for Rational Mechanics and Analysis.
• Observability of heat processes by transmutation without geometric restrictions, with Enrique Zuazua. final version Mathematical Control and Related Fields, Volume 1, Number 2, June 2011, pp. 177-187.
• Uniform stability estimates for the discrete Calderon problems, with Frederic de Gournay, final version In Inverse Problems 27 (2011)-125012

• Proceedings of conference:

• Uniform exponential decay for viscous damped systems, with Enrique Zuazua, in Advances in phase space analysis of partial differential equations, 95-112, Progr. Nonlinear Differential Equations Appl., 78, Birkhauser Boston, Inc., Boston, MA, 2009, special issue in honor of F. Colombini

• Observability in arbitrary small time for discrete conservative linear systems, In T.-T. Li, Y.-J. Peng, and B.-P. Rao, editors, Some Problems on Nonlinear Hyperbolic Equations and Applications, Series in Contemporary Applied Mathematics CAM 15, 2010.

• Survey article

• The Wave Equation: Control and Numerics , with Enrique Zuazua, in Control of Partial Differential Equations, P. M. Cannarsa and J. M. Coron, eds., Lecture Notes in Mathematics, CIME Subseries, Springer Verlag.

• Preprints:

• Convergence of an inverse problem for discrete wave equations, with Lucie Baudouin.
• Global Carleman estimates for waves and applications, with Lucie Baudouin and Maya de Buhan.
• Local exact controllability for the 1-D compressible Navier-Stokes equation, with Olivier Glass, Sergio Guerrero and Jean-Pierre Puel.

• Here is my phd thesis (mainly in English).
• Miscellaneous
• Links

• Institut de Mathématiques de Toulouse