Research Interests
Research Interests
My research is mainly concerned with the following topics:
Nonlinear evolution equations
Well-posedness and qualitative properties of solutions
Thin film equations
Nonlinear dispersive waves
My research is mainly concerned with the following topics:
Nonlinear evolution equations
Well-posedness and qualitative properties of solutions
Thin film equations
Nonlinear dispersive waves
Since October 2022, we have a joint online-research seminar (Lund – Stuttgart) on Asymptotic models in fluid dynamics.
Thermocapillary thin films: Periodic steady states and film rupture, Nonlinearity 37 (2024), with B. Hilder and J. Jansen
Lump solutions for the fractional Kadomtsev-Petviashvili equation, Fractional Calculus and Applied Analysis (2024), with H. Borluk and D. Nilsson
Existence, regularity, and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations, Monatshefte für Mathematik (2023), with L. Pei
Symmetry of periodic traveling waves for nonlocal dispersive equations, SIAM J. on Mathematical Analysis 55(1):486-507 (2023), with L. Pei
Traveling waves for a quasilinear wave equation, Nonlinear Analysis (225) (2022), with P. Idzik and W. Reichel
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation, Stud. Appl. Math. (2022), 1-29, with H. Borluk and D. Nilsson
Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability, Commun. Partial Differ. Equ. 47(1) (2022),197-232, with O. Assenmacher and C. Lienstromberg
Waves of maximal height for a class of nonlocal equations with homogeneous symbols, Indiana Univ. Math. J. 70(2) (2021), 711-742, with R. N. Dhara
Well-posedness and stability for a mixed order system arising in thin film equations with surfactant, Mathematische Nachrichten (2020)
On a thin film model with insoluble surfactant, Journal of Differential Equations (2019), with R. Granero-Belinchon
On the thin film Muskat and thin film Stokes equations, Journal of Mathematical Fluid Mechanics, 21 (2019), with R. Granero-Belinchon
On a singular limit for stratified compressible fluids, Nonlinear Analysis: Real World Applications, 44 (2018), 334-346, with E. Feireisl
Symmetric solutions of evolutionary partial differential equations, Nonlinearity, 30 (2017), 3932-3950, with M. Ehrnström, A. Geyer, and L. Pei
Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects, Journal of Evolution Equations, 17 (4) (2017), 1341-1379
Symmetry and decay of traveling solutions to the Whitham equation, Journal of Differential Equations, 262 (8) (2017), 4232–4254, with M. Ehrnström and L. Pei
Modeling and analysis of a two-phase thin film model with insoluble surfactant, Nonlinear Analysis: Real World Applications, 27 (2016), 124–145
Dissertation: Two-Phase Thin Film Equations with Insoluble Surfactant (2015)
Master thesis: The Krein-Rutman Theorem and Applications to Population Models (2011)
Bachelor thesis: Stability of Equilibria in Chemostat Models (2009)