Results 41 to 50 of about 3,819,966 (316)
Stabilization and controllability of first-order integro-differential hyperbolic equations [PDF]
In the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time is equivalent to the exact controllability property.
J. Coron, Long Hu, Guillaume Olive
semanticscholar +1 more source
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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A nonlocal problem for loaded partial differential equations of fourth order
A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Fixing Einstein's equations [PDF]
Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates).
Anderson, Arlen, York, Jr, James W.
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Inverse problems for general second order hyperbolic equations with time-dependent coefficients [PDF]
We study the inverse problems for the second order hyperbolic equations of general form with time-dependent coefficients assuming that the boundary data are given on a part of the boundary.
Gregory Eskin
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This arXived paper has two independant parts, that are improved and corrected versions of different parts of a single paper once named "On equations in relatively hyperbolic groups".
A. Kharlampovich +19 more
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Inverse problems for linear hyperbolic equations using mixed formulations [PDF]
We introduce a direct method which allows the solving of numerically inverse problems for linear hyperbolic equations. We first consider the reconstruction of the full solution of the equation posed in &OHgr; × ( 0 , T ) ?> —Ω being a bounded subset of R
N. Cîndea, A. Münch
semanticscholar +1 more source
Asymptotic theory of the hyperbolic boundary layer in shells of revolution at shock edge loading of the tangential type [PDF]
The present work is devoted to the construction of asymptotically optimized equations of the hyperbolic boundary layer in thin shells of revolution in the vicinity of the dilation wave front at shock edge loading of the tangential type.
Kirillova, Irina V.
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Wave and Dirac equations on manifolds
We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includes well-posedness and stability for various initial value problems, as well as results on the structure of these equations on ...
Andersson, Lars, Baer, Christian
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SIAC Filtering for Nonlinear Hyperbolic Equations [PDF]
We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws.
Li, Xiaozhou, Ryan, Jennifer
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