Results 11 to 20 of about 50 (48)
Finite Time Singularities for Hyperbolic Systems [PDF]
SIAM Journal on Mathematical Analysis, 2015 In this paper, we study the formation of finite time singularities in the form of super norm blowup for a spatially inhomogeneous hyperbolic system. The system is related to the variational wave equations as those in [18]. The system posses a unique $C^1$ solution before the emergence of vacuum in finite time, for given initial data that are smooth ...
Geng Chen, Tao Huang, Chun Liu 0009
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Scalable Hyperbolic Recommender Systems
CoRR, 2019 11 pages, 8 figures, 2 ...
Benjamin Paul Chamberlain +5 more
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On hyperbolicity of 13-moment system
Kinetic & Related Models, 2014 19 pages, 3 ...
Cai, Zhenning, Fan, Yuwei, Li, Ruo
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Poincaré chaos for a hyperbolic quasilinear system [PDF]
Miskolc Mathematical Notes, 2019 Summary: The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction mapping principle to prove the existence of unpredictable motions.
Akhmet, M. +3 more
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Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems
Nonlinear AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue-Jun Peng, Shuimiao Du
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WAVE SOLUTIONS FOR HYPERBOLIC SYSTEMS
Annals of the Academy of Romanian Scientists Series on Mathematics and Its ApplicationIn this paper we propose a reduction procedure for determining generalized traveling waves for first order quasilinear hyperbolic non-homogeneous systems. The basic idea is to look for solutions of the governing model that satisfy a further set of differential constraints. Some applications are given for a barotropic fluid with a source term.
Manganaro, Natale, Rizzo, Alessandra
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On a Stochastic Hyperbolic System in Linear Elasticity [PDF]
SIAM Journal on Mathematical Analysis, 2000 A Cauchy problem for a linear stochastic hyperbolic system \[ u_{tt}(t,x) = A(t,x,D_{x})u(t,x) + F(t,x)\xi(t,x), \quad (t,x)\in (0,\infty)\times\mathbb R^{n}, \tag{1} \] with zero initial conditions \(u(0,\cdot) = u_{t}(0,\cdot) =0\), is considered. In the equation (1), \(u = (u_1,\ldots,u_{n})\), \(F\) is a matrix-valued locally bounded measurable ...
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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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STRONGLY HYPERBOLIC SYSTEMS IN GENERAL RELATIVITY [PDF]
Journal of Hyperbolic Differential Equations, 2004 We discuss several topics related to the notion of strong hyperbolicity which are of interest in general relativity. After introducing the concept and showing its relevance we provide some covariant definitions of strong hyperbolicity. We then prove that if a system is strongly hyperbolic with respect to a given hypersurface, then it is also strongly ...
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On Weakly Hyperbolic Iterated Function Systems
Bulletin of the Brazilian Mathematical Society, New Series, 2016 Updated version.
Arbieto, Alexander +2 more
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