Modeling Heavy-Gas Dispersion in Air with Two-Layer Shallow Water Equations
Fluids, 2020 Computation of gas dispersal in urban places or hilly grounds requires a large amount of computer time when addressed with conventional multidimensional models. Those are usually based on two-phase flow or Navier-Stokes equations.
Alexandre Chiapolino +3 more
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Hyperbolic Dynamical Systems [PDF]
, 2009 The theory of uniformly hyperbolic dynamical systems was initiated in the 1960's (though its roots stretch far back into the 19th century) by S. Smale, his students and collaborators, in the west, and D. Anosov, Ya. Sinai, V. Arnold, in the former Soviet Union.
Araujo, Vitor, Viana, Marcelo
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Blow-up for solutions of hyperbolic PDE and spacetime singularities [PDF]
, 2000 An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is ...
Rendall, Alan D.
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Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
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Correct conditions on the boundary separating subdomains [PDF]
Компьютерные исследования и моделирование, 2014 This paper presents definition and solution problem of correct conditions on the boundary, separating subdomains for hyperbolic linear equation systems.
Yuri I. Skalko
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On the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations [PDF]
, 2013 This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Karafyllis, Iasson, Krstic, Miroslav
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Singular hyperbolic systems [PDF]
Proceedings of the American Mathematical Society, 1999 We construct a class of vector fields on 3-manifolds containing the hyperbolic ones and the geometric Lorenz attractor. Conversely, we shall prove that nonhyperbolic systems in this class resemble the Lorenz attractor: they have Lorenz-like singularities accumulated by periodic orbits and they cannot be approximated by flows with nonhyperbolic critical
Morales, C. A. +2 more
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Geodesic systems of tunnels in hyperbolic 3-manifolds [PDF]
, 2013 It is unknown whether an unknotting tunnel is always isotopic to a geodesic in a finite volume hyperbolic 3-manifold. In this paper, we address the generalization of this problem to hyperbolic 3-manifolds admitting tunnel systems.
Jessica, S. Purcell, Stephan D. Burton
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Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems [PDF]
, 2015 For non-uniformly hyperbolic dynamical systems we consider the time series of maxima along typical orbits. Using ideas based upon quantitative recurrence time statistics we prove convergence of the maxima (under suitable normalization) to an extreme ...
Holland, Mark, Rabassa, Pau, Sterk, Alef
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Validity of numerical trajectories in the synchronization transition of complex systems [PDF]
, 2003 We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {\it via} unstable dimension variability in complex systems.
A. M. Batista +31 more
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