Results 1 to 10 of about 20,314 (162)
On the One Class of Hyperbolic Systems [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Bäcklund auto-transformations for the class of two-component hyperbolic systems.
Vsevolod E. Adler, Alexey B. Shabat
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Hyperbolic Methods for Einstein's Equations
Living Reviews in Relativity, 1998 I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails.
Reula Oscar
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
Lietuvos Matematikos Rinkinys, 2023 A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along ...
Aleksandras Krylovas
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Stable schemes for second-moment turbulent models for incompressible flows
Comptes Rendus. Mécanique, 2023 A stable scheme is proposed in this paper in order to obtain approximate solutions of second-moment turbulent models for incompressible flows with or without thermal transport equation. The analysis of the convective terms, which includes the solution of
Ferrand, Martin +3 more
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T5 configurations and hyperbolic systems
Communications in Contemporary Mathematics, 2023 In this paper, we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation laws. This was introduced in [B. Kirchheim, S. Müller and V. Šverák, Studying Nonlinear PDE by Geometry in Matrix Space (Springer, 2003), Sec.
Johansson C. J. P., Tione R.
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Frontiers in Physics, 2021 In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional partial differential equations with variable coefficients. The fractional derivative has been considered by the concept of Caputo.
Ahmad El-Ajou, Zeyad Al-Zhour
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Computability, noncomputability, and hyperbolic systems [PDF]
Applied Mathematics and Computation, 2012 In this paper we study the computability of the stable and unstable manifolds of a hyperbolic equilibrium point. These manifolds are the essential feature which characterizes a hyperbolic system. We show that (i) locally these manifolds can be computed, but (ii) globally they cannot (though we prove they are semi-computable).
Daniel Silva Graça +2 more
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Extremal problems for second order hyperbolic systems involving multiple time delays [PDF]
Archives of Control Sciences, 2023 Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in theNeumann boundary conditions are solved ...
Adam Kowalewski
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2020 The mathematical model of the sedimentation process of suspension particles is usually a quasilinear hyperbolic system of partial differential equations, supplemented by initial and boundary conditions.
Natalya Kizilova +2 more
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Lietuvos Matematikos Rinkinys, 2004 Method of averaging of first order hyperbolic system with small parameter is presented. The mathematic investigate of this method is based on the method of stationary phase.
Aleksandras Krylovas
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