Browsing by Subject "Differential equations"

Browsing by Subject "Differential equations"

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  • Adapting the range of validity for the Carleman linearization 
    Weber, Harry; Mathis, Wolfgang (Göttingen : Copernicus GmbH, 2016)
    In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear ...
  • Dynamics of Dark Solitons in Elongated Bose-Einstein Condensates 
    Muryshev, A.; Shlyapnikov, G.V.; Ertmer, Wolfgang; Sengstock, K.; Lewenstein, M. (American Physical Society, 2002)
    We find two types of moving dark soliton textures in elongated condensates: nonstationary kinks and proper dark solitons. The latter have a flat notch region and we obtain the diagram of their dynamical stability. At finite ...
  • Existence of affine realizations for stochastic partial differential equations driven by Lévy processes 
    Tappe, S. (London : Royal Society of London, 2015)
    The goal of this paper is to clarify when a semilinear stochastic partial differential equation driven by Lévy processes admits an affine realization. Our results are accompanied by several examples arising in natural ...
  • Modeling and simulation aspects of AC machines 
    Popp, Michael; Laza, Patrick; Mathis, Wolfgang (Warsaw : De Gruyter Open Ltd, 2016)
    In the field of power and drive systems, electrical AC machines are mostly modeled using a set of explicit ordinary differential equations in a state space representation. It is shown, that by using other equation types ...
  • Null vectors in logarithmic conformal field theory 
    Flohr, Michael (Trieste : Sissa Medialab Srl, 2000)
    The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. ...
  • Numerical analysis of LG3,3 second harmonic generation in comparison to the LG0,0 case 
    Heinze, Joscha; Vahlbruch, Henning; Willke, Benno (Washington, DC : OSA - The Optical Society, 2020)
    For coating Brownian thermal noise reduction in future gravitational wave detectors, it is proposed to use light in the helical Laguerre-Gaussian LG3,3 mode instead of the currently used LG0,0 mode. However, the simultaneous ...
  • Prediction of losses in belt-type continuously variable transmission due to sliding between belt and disc 
    Poll, G.; Kruse, T.; Meyer, C. (London : SAGE Publications Ltd., 2006)
    The efficiency of belt-type continuously variable transmission (CVT) - apart from the power consumption of auxiliary systems such as hydraulics - predominantly depends on the energy dissipated during sliding at the belt-disc ...
  • Solutions to Yang-Mills Equations on Four-Dimensional de Sitter Space 
    Ivanova, T.A.; Lechtenfeld, Olaf; Popov, Alexander D. (College Park, MD : American Physical Society, 2017)
    We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter space dS4 and construct a smooth and spatially homogeneous magnetic solution to the Yang-Mills equations. Slicing dS4 as R×S3, via an SU(2)-equivariant ...
  • String theories as the adiabatic limit of Yang-Mills theory 
    Popov, Alexander D. (College Park, MD : American Physical Society, 2015)
    We consider Yang-Mills theory with a matrix gauge group G on a direct product manifold M=Σ2×H2, where Σ2 is a two-dimensional Lorentzian manifold and H2 is a two-dimensional open disc with the boundary S1=∂H2. The ...
  • Supermembrane limit of Yang-Mills theory 
    Lechtenfeld, Olaf; Popov, Alexander D. (Melville, NY : AIP Publishing, 2016)
    We consider Yang-Mills theory with N = 1 super-translation group in eleven auxiliary dimensions as the structure group. The gauge theory is defined on a direct product manifold Σ3 × S1, where Σ3 is a three-dimensional ...
  • Superstring limit of Yang-Mills theories 
    Lechtenfeld, Olaf; Popov, Alexander D. (Amsterdam : Elsevier, 2016)
    It was pointed out by Shifman and Yung that the critical superstring on X10=R4×Y6, where Y6 is the resolved conifold, appears as an effective theory for a U(2) Yang–Mills–Higgs system with four fundamental Higgs scalars ...