47 citations · 230 across the 21 of their papers we have counts for
13 papers · 1 filter
Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
Manuel V. Gnann, Christina Lienstromberg, Katerina Nik
We consider a power-law thin-film equation for strongly shear-thinning fluids. Weak solutions to this equation have been constructed more than twenty years ago by Ansini and Giacom…
Well-posedness and stability of the self-similar profile for a thin-film equation with gravity
Manuel V. Gnann, Slim Ibrahim
We consider the thin-film equation with linear mobility and a stabilizing second-order porous-medium type term modeling gravity. The model admits self-similar solutions, and our go…
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an -setting of monomially we…
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedn…
Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime
Manuel V. Gnann, Anouk C. Wisse
We prove well-posedness, partial regularity, and stability of the thin-film equation with general mobility and mobility exponent $n\in (1,…
Solutions to the stochastic thin-film equation for initial values with non-full support
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
The stochastic thin-film equation with mobility exponent on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that mart…
Droplet motion with contact-line friction: long-time asymptotics in complete wetting
Lorenzo Giacomelli, Manuel V. Gnann, Dirk Peschka
We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-t…
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We prove well-posedness in for any of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…
The Cox-Voinov law for traveling waves in the partial wetting regime
Manuel V. Gnann, Anouk C. Wisse
We consider the thin-film equation in with partial-wetting boundary conditions and inhomogeneous mobili…
Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations
Katharina Eichinger, Manuel V. Gnann, Christian Kuehn
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations with additive noise. Special attention is given to the effect of small noise on…
The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness
Manuel V. Gnann, Mircea Petrache
We consider the thin-film equation in physical space dimensions (i.e., one dimension in time and two lateral dimens…
Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem
Manuel V. Gnann, Slim Ibrahim, Nader Masmoudi
Consider the thin-film equation with a zero contact angle at the free boundary, that is, at the triple junction where liquid, gas, and solid me…
On the regularity for the Navier-slip thin-film equation in the perfect wetting regime
Manuel V. Gnann
We investigate perturbations of traveling wave solutions to a thin-film equation with quadratic mobility and a zero contact angle at the triple junction, where the three phases liq…