47 citations · 230 across the 21 of their papers we have counts for
22 papers
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…
Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We study a parametrically forced nonlinear Schrödinger (PFNLS) equation, driven by multiplicative translation-invariant noise. We show that a solitary wave in the stochastic equati…
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…
Higher order moments for SPDE with monotone nonlinearities
Manuel V. Gnann, Jochem Hoogendijk, Mark C. Veraar
This paper introduces a new -dependent coercivity condition through which -moments for solutions can be obtained for a large class of SPDEs in the variational framework. If…
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…
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
We prove the existence of nonnegative martingale solutions to a class of stochastic degenerate-parabolic fourth-order PDEs arising in surface-tension driven thin-film flow influenc…
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 stochastic thin-film equation: existence of nonnegative martingale solutions
Benjamin Gess, Manuel V. Gnann
We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in one space dimension and establish the existence of nonnegative weak (martingale) solutions…
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…
A dynamical systems approach for the contact-line singularity in thin-film flows
Fethi Ben Belgacem, Manuel V. Gnann, Christian Kuehn
We are interested in a complete characterization of the contact-line singularity of thin-film flows for zero and nonzero contact angles. By treating the model problem of source-typ…
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…
Non-Isothermal Fluctuation-Dissipation Relations and Brownian Thermometry
Gianmaria Falasco, Manuel Victor Gnann, Klaus Kroy
The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not…
Asymptotic analysis of mode-coupling theory of active nonlinear microrheology
Manuel Victor Gnann, Thomas Voigtmann
We discuss a schematic model of mode-coupling theory for force-driven active nonlinear microrheology, where a single probe particle is pulled by a constant external force through a…
Generalised Einstein Relation for Hot Brownian Motion
D. Chakraborty, M. V. Gnann, D. Rings +4
The Brownian motion of a hot nanoparticle is described by an effective Markov theory based on fluctuating hydrodynamics. Its predictions are scrutinized over a wide temperature ran…
Schematic Models for Active Nonlinear Microrheology
Manuel V. Gnann, Igor Gazuz, Antonio M. Puertas +2
We analyze the nonlinear active microrheology of dense colloidal suspensions using a schematic model of mode-coupling theory. The model describes the strongly nonlinear behavior of…