Results 271 to 280 of about 25,082,508 (331)

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 ...
Castro M, Pares C, Puppo G, RUSSO, Giovanni   +3 more
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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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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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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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Linear Hyperbolic Systems

1990
In this chapter we begin the study of systems of conservation laws by reviewing the theory of a constant coefficient linear hyperbolic system. Here we can solve the equations explicitly by transforming to characteristic variables. We will also obtain explicit solutions of the Riemann problem and introduce a “phase space” interpretation that will be ...
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Hyperbolic systems

2021
Alexandre Ern, Jean-Luc Guermond
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Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems

Nonlinear Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue-Jun Peng, Shuimiao Du
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Nonlinear hyperbolic systems

1991
In this chapter we treat various types of hyperbolic equations, beginning in §5.1 with first order symmetric hyperbolic systems. In this case, little direct use of pseudodifferential operator techniques is made, mainly an appeal to the Kato-Ponce estimates.
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Hyperbolic Monge-Ampère systems

Sbornik: Mathematics, 2006
The subject of the paper is the solubility of the Cauchy problem for strictly hyperbolic systems of Monge-Ampere equations and, in particu- lar, for quasilinear systems of equations with two independent variables. It is proved that this problem has a unique maximal solution in the class of immersed many-valued solutions.
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