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[chapter]
2016
Der digitale Bürger und seine Identität
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E-Government erfordert eine ausreichende Identifizierung der Behörde, des handelnden Verwaltungsbeamten und des Bürgers als Antragsteller oder als Adressat von Verwaltungshandeln. ...
Gerrit Hornung geleitete, durch die Deutsche Forschungsgemeinschaft (DFG) geförderte wissenschaftliche Netzwerk "Der digitale Bürger und seine Identität" während seiner dreijährigen Laufzeit gewidmet. ...
doi:10.5771/9783845276762-1
fatcat:w63tp7c6crhxncdb7acqbikdkq
A Markov jump process approximation of the stochastic Burgers equation
[article]
2004
arXiv
pre-print
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We consider the stochastic Burgers equation tψ(t,r) = Δψ(t,r) + ∇ψ^2(t,r)+√(γψ(t,r))η(t,r) with periodic boundary conditions, where t > 0, r ∈ [0,1], and η is some space-time white noise. ...
In this paper, we propose a Markov chain approximation method for a stochastic Burgers equation and prove its convergence. ...
Especially the Burgers equation with stochastic noise has attracted considerable attention, for example, as a simplified model of fluid turbulence. ...
arXiv:math/0408323v1
fatcat:i3vsqooejnfr5iswhwpg2fpez4
The speed of traveling waves in a FKPP-Burgers system
[article]
2020
arXiv
pre-print
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We consider a coupled reaction-advection-diffusion system based on the Fisher-KPP and Burgers equations. ...
Throughout, we adopt the nomenclature from the usual Burgers equation that (1.2) with ν = 0 is inviscid, while the equation having ν > 0 is viscous. ...
Our numerical findings display significant agreement with our analysis and can be used to motivate further investigations on the FKPP-Burgers system. ...
arXiv:2009.13584v1
fatcat:hop367hs25dcraenpcic7ubq4y
Quadratic FBSDE with generalized Burgers' type nonlinearities, perturbations and large deviations
[article]
2012
arXiv
pre-print
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These improvements on existence and uniqueness results for BSDE include, as particular cases in the PDE framework, results for the Burgers' and generalized Burgers' equations. ...
Particularizing the forward diffusion by assuming b = 0, σ = √ 2 and f (t, y, z) = νyz, one obtains the known Burgers' PDE. Remark 4.9 (Multidimensional case of f (y, z) = y|z| 2 ). ...
arXiv:1205.3581v1
fatcat:cc5mvt5j5vdg3kfi6vnc2u5vr4
Pushed, pulled and pushmi-pullyu fronts of the Burgers-FKPP equation
[article]
2021
arXiv
pre-print
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We consider the long time behavior of the solutions to the Burgers-FKPP equation with advection of a strength β∈ℝ. This equation exhibits a transition from pulled to pushed front behavior at β_c=2. ...
It relies on a somewhat hidden viscous conservation law structure of the Burgers-FKPP equation at β_c=2 and utilizes a dissipation inequality, which comes from a relative entropy type computation, together ...
A Traveling waves for the Burgers-FKPP equation In this appendix, we recall some basic facts on the Burgers-FKPP traveling waves. ...
arXiv:2108.07861v1
fatcat:27s5x627wbg3jlwoyioqgt6aem
The nonlinear heat equation with state-dependent parameters and its connection to the Burgers' and the potential Burgers' equation
2014
IFAC Proceedings Volumes
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Among other things, the PDE describes freezing of foodstuff, and is closely related to the (Potential) Burgers' Equation. ...
The PDE has similarities to the potential form of the Burgers' equation and thus to the Burgers' equation itself. ...
As (10) is closely related to the Potential Burgers' equation, it will thus be referred to as a Potential Burgers'-like equation. ...
doi:10.3182/20140824-6-za-1003.01278
fatcat:bkkrhjer45awjnv4vaddvl36de
Planetary Systems and the Formation of Habitable Planets
[article]
2015
arXiv
pre-print
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As part of a national scientific network 'Pathways to Habitability' the formation of planets and the delivery of water onto these planets is a key question as water is essential for the development of life. In the first part of the paper we summarize the state of the art of planet formation - which is still under debate in the astronomical community - before we show our results on this topic. The outcome of our numerical simulations depends a lot on the choice of the initial distribution of
arXiv:1502.02937v1
fatcat:5kjh2sod4raxnclstrf62bokjq
more »
... etesimals and planetary embryos after gas disappeared in the protoplanetary disk. We also take into account that some of these planetesimals of sizes in the order of the mass of the Moon already contained water; the quantity depends on the distance from the Sun - close-by bodies are dry, but starting from a distance of about 2 AU they can contain substantial amounts of water. We assume that the gas giants and terrestrial planets are already formed when we check the collisions of the small bodies containing water (in the order of a few percent) with the terrestrial planets. We thus are able to give an estimate of the respective contribution to the actual water content (of some Earth-oceans) in the mantle, in the crust and on the surface of Earth. In the second part we discuss in more detail how the formation of larger bodies after a collision may happen as the outcome depends on parameters like collision velocity, impact angle, and the materials involved. We present results obtained by SPH (Smooth Particle Hydrodynamics) simulations. We briefly describe this method and show different scenarios with respect to the formed bodies, possible fragmentation and the water content before and after the collision. In an appendix we discuss detection methods for extrasolar planets (close to 2000 such objects have been discovered so far).
A MARKOV JUMP PROCESS APPROXIMATION OF THE STOCHASTIC BURGERS EQUATION
2004
Stochastics and Dynamics
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We consider the stochastic Burgers equation with periodic boundary conditions, where t ≥ 0, r ∈ [0, 1], and η is some spacetime white noise. ...
In this paper, we propose a Markov chain approximation method for a stochastic Burgers equation and prove its convergence. ...
Especially the Burgers equation with stochastic noise has attracted considerable attention, for example, as a simplified model of fluid turbulence. ...
doi:10.1142/s0219493704001048
fatcat:b557f2a4cnhb3pvoydndwadl5i
Collisions of planetesimals and formation of planets
[article]
2015
arXiv
pre-print
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We present preliminary results of terrestrial planet formation using on the one hand classical numerical integration of hundreds of small bodies on CPUs and on the other hand -- for comparison reasons -- the results of our GPU code with thousands of small bodies which then merge to larger ones. To be able to determine the outcome of collision events we use our smooth particle hydrodynamics (SPH) code which tracks how water is lost during such events.
arXiv:1505.07265v1
fatcat:v2zgj3rl5nhuhefwus5b6bdgsu
QUADRATIC FBSDE WITH GENERALIZED BURGERS' TYPE NONLINEARITIES, PERTURBATIONS AND LARGE DEVIATIONS
2013
Stochastics and Dynamics
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These improvements on existence and uniqueness results for BSDE include, as particular cases in the PDE framework, results for the Burgers' and generalized Burgers' equations. ...
Christoph Frei gratefully acknowledges nancial support by the Natural Sciences and Engineering Research Council of Canada through grant 402585. ...
doi:10.1142/s0219493712500153
fatcat:uec75bsxq5ehjhm6sey5qeehzm
Brief an [Carl Christoph Bernoulli-Burger]
1913
unpublished
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Die Plattform e-manuscripta.ch ist ein Kooperationsprojekt von Institutionen aus dem schweizerischen Bibliotheks-und Archivbereich und wird finanziell von diesen getragen. Das Spektrum umfasst alle Arten von handschriftlichen
doi:10.7891/e-manuscripta-86214
fatcat:shy2lsj3ire53gt75d4gujmdaa
Collisional formation of detectable exomoons of super-terrestrial exoplanets
[article]
2019
arXiv
pre-print
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The code has already been successfully applied to several studies involving impacts (Dvorak et al. 2015; Maindl et al. 2015; Haghighipour et al. 2016; Wandel et al. 2017; Schäfer et al. 2017; Burger et ...
Given the analysis of Burger & Schäfer (2017) however, and the typical mass and velocity considered for our impactors and targets (see Section 3.2), we perform our simulations in full hydrodynamic mode ...
arXiv:1904.12854v1
fatcat:u4n5qe34bbe5nb6e3iqhixbvtm
On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain
[article]
2019
arXiv
pre-print
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In this paper it is shown that the existing stability theory of the Burgers vortex leads to the stability of these blow-up solutions as well. ...
It is known that the system admits solutions which blow up in finite time and whose profiles are in a backward self-similar form of the familiar Burgers vortices. ...
The flow (6) blows up in a backward self-similar form and has a very similar vortical structure to the Burgers vortex. In this paper we call V sB the singular Burgers vortex. ...
arXiv:1807.10341v2
fatcat:z35t5lravfdfhpegbiqt3ahxy4
Book Review: Radicals in America, by Howard Brick and Christopher Phelps
2016
Journal of Critical Thought and Praxis
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Left since the Second World War, by Howard Brick, the Louis Evans Professor of History at the University of Michigan, and Christopher Phelps, Associate Professor of American History at the University of ...
doi:10.31274/jctp-180810-56
fatcat:iymoz4vsvrft3ifhioqu6ouuoi
General presentation
2015
Journal of Innovation Economics & Management
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