Results 31 to 40 of about 50 (48)
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On pseudosymmetric hyperbolic systems
1997The authors investigate first-order weakly hyperbolic systems of PDEs with coefficients depending only on \(t\). The system is supposed to be pseudosymmetric according to a given definition (e.g., in two space dimensions, the system with the matrix \(A=(a_{ij})\) is pseudosymmetric iff \(a_{ii}\) are real and \(a_{12} \cdot a_{21} >0)\).
D'ANCONA, Piero Antonio, S. SPAGNOLO
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Quasilinear hyperbolic systems with involutions
Archive for Rational Mechanics and Analysis, 1986The author considers quasilinear hyperbolic systems \[ (1)\quad \partial_ tU+\sum^{m}_{\alpha =1}\partial_{\alpha}G_{\alpha}(U)=0 \] where \(x\in {\mathbb{R}}^ m\), the vector U(x,t) takes values in an open subset \({\mathcal O}\subset {\mathbb{R}}^ n\) and \(G_{\alpha}: {\mathcal O}\to {\mathbb{R}}^ n\) are given smooth functions. A classical solution
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AN INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEM
Acta Mathematica Scientia, 1981Abstract : We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time.
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Central Schemes for Nonconservative Hyperbolic Systems
SIAM Journal on Scientific Computing, 2012Summary: We present a new approach to the construction of high order finite volume central schemes on staggered grids for general hyperbolic systems, including those not admitting a conservation form. The method is based on finite volume space discretization on staggered cells, central Runge-Kutta time discretization, and integration over a family of ...
Manuel J. Castro +3 more
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Boundary Control of a Class of Hyperbolic Systems
European Journal of Control, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Chapelon, Cheng-Zhong Xu 0002
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On Hyperbolic Systems of Conservation Laws
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Homogenization of Periodic Hyperbolic Systems
Mathematical Notes, 2019In the paper under review, the author studies the homogenization problem in the small period limit of the solution \(u_\epsilon\) of the Cauchy problem for hyperbolic systems in \(\mathbb{R}^d\). For a periodic function \(g\) and a first-order matrix differential operator \(b(D)\), the author considers a problem of the type \[ \left\{ \begin{array}{ll}
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Ergodic Theory and Dynamical Systems, 2008
AbstractWe introduce a class of vector fields onn-manifolds containing the hyperbolic systems, the singular-hyperbolic systems on 3-manifolds, the multidimensional Lorenz attractors and the robust transitive singular sets in Liet al[Robust transitive singular sets via approach of an extended linear Poincaré flow.Discrete Contin. Dyn. Syst.13(2) (2005),
Metzger, R., Morales, C.
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AbstractWe introduce a class of vector fields onn-manifolds containing the hyperbolic systems, the singular-hyperbolic systems on 3-manifolds, the multidimensional Lorenz attractors and the robust transitive singular sets in Liet al[Robust transitive singular sets via approach of an extended linear Poincaré flow.Discrete Contin. Dyn. Syst.13(2) (2005),
Metzger, R., Morales, C.
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On a nonlinear discrete hyperbolic system
Asymptotic Analysis, 2007The existence, uniqueness and asymptotic behaviour of the solutions to a nonlinear discrete hyperbolic system supplemented with an extreme condition and initial data are investigated in a real Hilbert space.
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Disturbance Attenuation in Hyperbolic 2D-systems
Multidimensional Systems and Signal Processing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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