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Computability, Noncomputability, and Hyperbolic Systems [PDF]

open access: yesApplied Mathematics and Computation, 2011
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.
Buescu, Jorge   +2 more
core   +5 more sources

Hyperbolic Structures and Root Systems [PDF]

open access: yes, 2010
We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system.
Dijk, G. van   +2 more
core   +7 more sources

Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions [PDF]

open access: yesThe Scientific World Journal, 2013
We extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several ...
Andrew N. Guarendi, Abhilash J. Chandy
doaj   +2 more sources

Substantiation of asymptotical solution of weakly nonlinear hyperbolic system

open access: yesLietuvos 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
doaj   +3 more sources

A Vector Series Solution for a Class of Hyperbolic System of Caputo Time-Fractional Partial Differential Equations With Variable Coefficients

open access: yesFrontiers 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
doaj   +1 more source

Stable schemes for second-moment turbulent models for incompressible flows

open access: yesComptes 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
doaj   +1 more source

A study of a quasilinear model of the particles of a suspension that are aggregated and settled in an inhomogeneous field

open access: yesVisnik 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
doaj   +1 more source

Extremal problems for second order hyperbolic systems involving multiple time delays [PDF]

open access: yesArchives 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
doaj   +1 more source

T5 configurations and hyperbolic systems

open access: yesCommunications 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.
openaire   +5 more sources

Application of the method of stationary phase to weakly nonlinear hyperbolic systems asymptotic solving

open access: yesLietuvos 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
doaj   +3 more sources

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