Results 21 to 30 of about 50 (48)
On stability for symmetric hyperbolic systems, II
Journal of Differential Equations, 1981 In a very wide spectrum of applications, the problem of stability plays a central role. There is a vast literature available in the field, but still the problem is solved only in special cases. The incompleteness of the literature is especially noticeable when the governing equations are partial differential equations.
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On $L_p$-estimates for hyperbolic systems [PDF]
Czechoslovak Mathematical Journal, 1973 openaire +1 more source
Sustained Oscillations in Hyperbolic–Parabolic Systems
Archive for Rational Mechanics and AnalysisWe construct examples of oscillating solutions with persistent oscillations for various hyperbolic-parabolic systems with singular diffusion matrices that appear in mechanics. These include, an example for the equations of nonlinear viscoelasticity of Kelvin-Voigt type with stored energy that violates rank-one convexity, which amounts to a time ...
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Hyperbolic structures in hamiltonian systems
Rocky Mountain Journal of Mathematics, 1977 Churchill, R.C., Pecelli, G., Rod, D.L.
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On the strongly hyperbolic systems : a reduction of hyperbolic matrices
, 1988 openaire +1 more source
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On the Darboux Problem for Hyperbolic Systems
Differential Equations, 2023For a hyperbolic system with simple characteristics in the-dimensional space of independent variables, the existence and uniqueness of a solution of the Darboux problem is proved. The Riemann–Hadamard matrix is determined, and the solution of the Darboux problem is constructed in terms of this matrix.
Mironov, A. N., Mironova, L. B.
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PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
Mathematics of the USSR-Izvestiya, 1974Smooth dynamical systems having contracting and expanding invariant foliations (of not necessarily complementary dimensions) are investigated. Ergodicity and the K-property are established for such dynamical systems under additional assumptions.
Brin, M. I., Pesin, Ya. B.
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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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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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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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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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