Research
Research Interests (Applied Analysis)
- Partial differential equations
- Free boundary value problems
- Modelling and analysis of non-Newtonian thin fluid films
- Modelling and analysis of MEMS
Publications
- With O. Assenmacher & G. Bruell: Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability; Comm. PDE (2021).
- With T. Pernas-Castaño & J. J. L. Velàzquez: Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid; to appear in J. Nonlinear Sci., in arXiv: 2012.10734, (2021).
- With J. Escher, P. Knopf & B.-V. Matioc: Stratified periodic water waves with singular density gradients. Ann. Mat. Pura Appl. 199 (2020), 1923–1959.
- With Stefan Müller: Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. NoDEA. 27 (2020),
- With J. Escher: Travelling waves in dilatant non-Newtonian thin films; J. Differential Equations 264 (2018), 2113–2132.
- With J. Escher: A survey on second-order free boundary value problems modelling MEMS with general permittivity. Discrete Contin. Dyn. Syst. Ser S10 (2017), no. 4, 745–771.
- With J. Escher & P. Gosselet: A note on model reduction for microelectromechanical systems. Nonlinearity 30 (2017), no. 2, 454–465.
- Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity. J. Evol. Equ. 17 (2017), 1129–1150.
- With J. Escher: Finite-time singularities of solutions to microelectromechanical systems with general permittivity. Ann. Mat. Pura Appl. 195 (2016), no. 6, 1961–1976.
- On qualitative properties of solutions to microelectromechanical systems with general permittivity. Monatsh. Math. 179 (2016), no.4, 581–602.
- With J. Escher: A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile. Comm. PDE 41 (2016), no. 1, 134–149.
- A free boundary value problem modelling microelectromechanical systems with general permittivity. Nonlinear Anal. Real World Appl. 25 (2015), 190–218.
