Welcome | CV | Publications | Teaching

      PUBLICATIONS

      • Ph.D. thesis:
      Title: Interaction problems between a deformable structure and a viscous incompressible fluid.
      Abstract: abstract. Manuscript: thesis. Slides of the defense: slides.

      • Habilitation thesis:
      Title: Optimization, control and simulation problems related to coupled systems of partial differential equations.
      Manuscript: pdf.

      ARTICLES (PEER-REVIEWED)

      21.  S. Court
      A hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition.
      Published in Optimization Methods and Software. pdf

      20.  S. Court
      A damped elastodynamics system under the global injectivity condition: Local wellposedness in Lp-spaces.
      Published in NoDEA: Nonlinear Differential Equations and Applications, 2024. pdf

      19.  S. Court
      Approximate controllability of a 2D linear system related to the motion of two fluids with surface tension.
      Published in Proceedings in Applied Mathematics and Mechanics, 2023. pdf

      18.  S. Court
      Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble.
      at low Reynolds~number: The two-dimensional case.
      Published in Journal of Mathematical Fluid Mechanics, 2024. pdf

      17.  S. Court
      Relaxation approach for learning regularizers by neural networks for a class of identification problems.
      Published in Inverse Problems, 39(12), 2023. pdf

      16.  N. Gruber, J. Schwab, S. Court, E. Gizewski, M. Haltmeier
      Variational multichannel multiclass segmentation using unsupervised lifting with CNNs.
      Published in Proceeding of the 20th International Conference of Numerical Analysis and Applied Mathematics. pdf

      15.  N. Gruber, J. Schwab, S. Court, E. Gizewski, M. Haltmeier
      Lifting-based variational multiclass segmentation algorithm:
      Design, convergence analysis, and implementation with applications in medical imaging.
      Published in Journal of Computational and Applied Mathematics, 2024. pdf

      14.  S. Court, K. Kunisch
      Design of the monodomain model by artificial neural networks.
      Published in Discrete and Continuous Dynamical Systems - Series A, 42(12):6031--6061, 2022. pdf

      13.  S. Court
      A fictitious domain approach for a mixed finite element method
      solving the two-phase Stokes problem with surface tension forces.
      Published in Journal of Computational and Applied Mathematics, 359:30--54, 2019. pdf

      12.  S. Court, K. Kunisch, L. Pfeiffer
      Optimal control problem for systems of conservation laws, with geometric parameter,
      and application to the Shallow-Water Equations.
      Published in Interfaces and Free Boundaries, 21:273--311, 2019. pdf

      11.  S. Court, K. Kunisch, L. Pfeiffer
      Hybrid optimal control problems for a class of semilinear parabolic equations.
      Published in Discrete and Continuous Dynamical Systems - Series S, 11(6):1031--1060, 2018. pdf

      10.  S. Court, K. Kunisch, L. Pfeiffer
      Optimal control for a class of infinite dimensional systems involving an L∞-term in the cost functional.
      Published in ZAMM, 98(4):569--588, 2018. pdf

      9.  S. Court, K. Kunisch
      Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies.
      Published in Advances in Differential Equations, 23(1-2):135--160, 2018. pdf

      8.  S. Court, O. Bodart, V. Cayol, J. Koko
      Fictitious domain methods for fracture models in elasticity.
      Published in Progress in Industrial Mathematics at ECMI 2014, pp. 575--585, 2017. pdf

      7.  O. Bodart, S. Court, V. Cayol, J. Koko
      XFEM-based fictitious domain method for linear elasticity model with crack.
      Published in SIAM Journal on Scientific Computing, 38(2):B219--B246, 2016. pdf

      6.  S. Court
      Existence of 3D strong solutions for a system modeling a deformable solid in a viscous incompressible fluid.
      Published in Journal of Dynamics and Differential Equations (first online 09/2015), 29(2):737--782, 2017. pdf

      5.  S. Court, M. Fournié
      A fictitious domain finite element method for simulations of fluid-structure interactions:
      The Navier-Stokes equations coupled with a moving solid. Published in Journal of Fluids and Structures, 55:398--408, 2015. pdf

      4.  S. Court, M. Fournié, A. Lozinski
      A fictitious domain approach for Fluid-Structure Interactions based on the eXtended Finite Element Method.
      Published in ESAIM: Procs, no. 45, pp. 308--317, 2014. pdf

      3.  S. Court
      Stabilization of a fluid-solid system, by the deformation of the self-propelled solid.
      Part I: The linearized system.       Published in Evolution Equations and Control Theory, 3(1):59--82, 2014. pdf

      2.  S. Court
      Stabilization of a fluid-solid system, by the deformation of the self-propelled solid.
      Part II: The nonlinear system.       Published in Evolution Equations and Control Theory, 3(1):83--118, 2014. pdf

      1.  S. Court, M. Fournié, A. Lozinski
      A fictitious domain approach for the Stokes problem based on the extended finite element method.
      Published in International Journal for Numerical Methods in Fluids, 74(2):73--99, 2014. pdf


      POSTERS

      • Journées EDP-Normandie 2013, Caen (France):
      Stabilisation d'un système couplé fluide-solide, par la déformation du solide autopropulsé. poster

      • American Geophysical Union Fall Meeting 2014, San Francisco (USA):
      Fictitious domain methods for fracture models in elasticity. poster