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Research

Research interests:

• Partial differential equations, especially
• Phase field models (especially the Cahn-Hilliard equation) and their applications (e.g., tumor growth models)
• Kinetic equations from plasma physics (e.g., Vlasov-Poisson and Vlasov-Maxwell equations).

• Calculus of variations

• Optimal control
  • Optimal control theory for problems with PDE constraints
  • Shape and topology optimization via phase-field approach

• Numerical methods and simulations for PDEs
  • Finite element methods
  • Particle-in-cell methods for kinetic equations

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Research projects and collaborators:

• Analysis and numerical methods for the phase-field models with dynamic boundary conditions with

  • Harald Garcke (University of Regensburg)

  • "Andrew" Kei Fong Lam (Hong Kong Baptist University)

  • Chun Liu (Illinois Institute of Technology, Chicago)

  • Yadong Liu (Nanjing Normal University, China)

  • Stefan Metzger (FAU Erlangen-Nürnberg)

  • Andrea Signori (Politecnico di Milano)

  • Jonas Stange (University of Regensburg)

  • Sema Yayla (Hacettepe University, Ankara)

• Analysis and numerical methods for anisotropic diffuse interface models with

  • Harald Garcke (University of Regensburg)

  • Robert Nürnberg (University of Trento)

  • Andrea Signori (Politecnico di Milano)

  • Julia Wittmann (University of Regensburg)

  • Quan Zhao (University of Regensburg)

• Analysis and optimal control of magneto-viscoelastic fluids with

  • Harald Garcke (University of Regensburg)

  • Sourav Mitra (Indian Institute of Technology, Indore, India)

  • Anja Schlömerkemper (University of Würzburg)

• Analysis and optimal control of phase-field models for tumor growth with

  • Matthias Ebenbeck (University of Regensburg)

  • Andrea Signori (Politecnico di Milano)

• Analysis of stratified water waves with

  • Joachim Escher (Leibniz University of Hannover)

  • Christina Lienstromberg (University of Stuttgart)

  • Bogdan-Vasile Matioc (University of Regensburg)

• Elliptic problems with bulk-surface coupling: Well-posedness, regularity theory, eigenvalue problems with

  • Chun Liu (Illinois Institute of Technology, Chicago)

• Nonlocal-to-local convergence and its application to phase-field models with

  • Christoph Hurm (University of Regensburg)

  • Andrea Poiatti (University of Vienna)

• Optimal control and confinement of plasmas modeled by Vlasov equations with

  • Jan Bartsch (University of Würzburg)

  • Stefania Scheurer (University of Stuttgart)

  • Jörg Weber (University of Vienna)

• Pattern formation in biomembranes with

  • Anastasija Pešić (WIAS in Berlin)

  • Dennis Trautwein (University of Regensburg)

• Shape and topology optimization via multi-phase-field approach with

  • Harald Garcke (University of Regensburg)

  • Paul Hüttl (University of Regensburg)

  • Christian Kahle (University of Koblenz)

  • Tim Laux (University of Heidelberg)

• Two-phase flows with bulk-surface interaction described by dynamic boundary conditions with

  • Pierluigi Colli (Università di Pavia)

  • Andrea Giorgini (Politecnico di Milano)

  • Giulio Schimperna (Università di Pavia)

  • Andrea Signori (Politecnico di Milano)

  • Jonas Stange (University of Regensburg)

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