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pro vyhledávání: '"Gnann A"'
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an $L^{2}$-setting of monomially weighted spaces. A mathematical framework is developed which allows to o
Externí odkaz:
http://arxiv.org/abs/2411.04651
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
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-posedness and higher regularity of the Stokes problem in a certain class of
Externí odkaz:
http://arxiv.org/abs/2407.15517
We study a parametrically forced nonlinear Schr\"odinger (PFNLS) equation, driven by multiplicative translation-invariant noise. We show that a solitary wave in the stochastic equation is orbitally stable on a timescale which is exponential in the in
Externí odkaz:
http://arxiv.org/abs/2403.04625
Autor:
Arbash, Elias, Ribeiro, Andréa de Lima, Thiele, Sam, Gnann, Nina, Rasti, Behnood, Fuchs, Margret, Ghamisi, Pedram, Gloaguen, Richard
The presence of undesired background areas associated with potential noise and unknown spectral characteristics degrades the performance of hyperspectral data processing. Masking out unwanted regions is key to addressing this issue. Processing only r
Externí odkaz:
http://arxiv.org/abs/2311.03053
Autor:
Gnann, Manuel V., Wisse, Anouk C.
We prove well-posedness, partial regularity, and stability of a thin-film equation $h_t + (m(h) h_{zzz})_z = 0$ with general mobility $m(h) = h^n$ and mobility exponent $n\in (1,\tfrac{3}{2})\cup (\tfrac{3}{2},3)$ in the regime of perfect wetting (ze
Externí odkaz:
http://arxiv.org/abs/2310.20400
The stochastic thin-film equation with mobility exponent $n\in [\frac{8}{3},3)$ on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that martingale solutions exist for non-negative initial values. This advances
Externí odkaz:
http://arxiv.org/abs/2305.06017
Publikováno v:
International Journal of STEM Education, Vol 11, Iss 1, Pp 1-44 (2024)
Abstract Background Learning assistants (LAs) in undergraduate STEM lectures facilitate discussions between students in small groups. In this research study, we investigate the impact of LA facilitation on student learning as it occurs during LA–st
Externí odkaz:
https://doaj.org/article/8f6270216aa44dda8eda76fa9c36a7a5
Publikováno v:
International Journal of STEM Education, Vol 11, Iss 1, Pp 1-25 (2024)
Abstract Background The learning assistant (LA) model supports student success in undergraduate science courses; however, variation in outcomes has led to a call for more work investigating how the LA model is implemented. In this research, we used c
Externí odkaz:
https://doaj.org/article/7fd690f0c16a41a7bfb8d17e96a300fb
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-time asymptotics of solutions in the perfect wetting regime. In particu
Externí odkaz:
http://arxiv.org/abs/2302.03005
We prove well-posedness in $H^{\sigma}(\mathbb{R})$ for any $\sigma \in [0,\infty)$ of a parametrically forced nonlinear Schr\"odinger equation (PFNLS) in one dimension driven by multiplicative Stratonovich noise which has spatially homogeneous stati
Externí odkaz:
http://arxiv.org/abs/2208.01945