Results 271 to 280 of about 32,373 (309)

Hyperbolic systems

1994
Abstract Extended summary of the contribution given at the SERC Numerical Analysis Summer School, Lancaster University, July 1992.) A large variety of physical phenomena is described by hyperbolic systems. Fluid dynamics is probably the field of major relevance: compressible flows (unsteady and steady supersonic), shallow waters ...
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On pseudosymmetric hyperbolic systems

1997
The 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, 1986
The 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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Hyperbolicity for Systems

2003
We study the Cauchy problem for (mainly) first order systems. Our main concern is to investigate for which systems the Cauchy problem is C ∞ well posed for any lower order terms (strong hyperbolicity), or for which systems the Cauchy problem is C ∞ well posed (hyperbolicity).
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AN INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEM

Acta Mathematica Scientia, 1981
Abstract : 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, 2012
Summary: 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, Carlos Parés, Gabriella Puppo, Giovanni Russo 0001   +3 more
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Boundary Control of a Class of Hyperbolic Systems

European Journal of Control, 2003
zbMATH 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, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sectional-hyperbolic systems

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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On the Homogenization of Periodic Hyperbolic Systems

Mathematical Notes, 2019
In 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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