Results 11 to 20 of about 25,082,508 (331)
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).
Graça, Daniel S. +2 more
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Fluids, 2021 This work extends the characteristic-based volume penalization method, originally developed and demonstrated for compressible subsonic viscous flows in (J. Comput. Phys.
Nurlybek Kasimov +3 more
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Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System
IEEE Control Systems Letters, 2023 This letter deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on a super-twisting control algorithm, which leads to a feedback that is continuous with respect to the state, in ...
Ismaïla Balogoun +3 more
semanticscholar +1 more source
The Problem of Determining Kernels in a Two-dimensional System of Viscoelasticity Equations
Известия Иркутского государственного университета: Серия "Математика", 2023 For a two-dimensional system of integro-differential equations of viscoelasticity in an isotropic medium, the direct and inverse problems of determining the stress vector and particle velocity, as well as the diagonal hereditarity matrix, are studied ...
D. K. Durdiev, A. A. Boltaev
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Optimal Control by a Cascade System of Hyperbolic and Ordinary Delayed Differential Equation
Известия Иркутского государственного университета: Серия "Математика", 2023 In the class of smooth control functions, an optimal control problem of firstorder semilinear hyperbolic equations is investigated. We consider the case when the functional parameter in the right side of the hyperbolic system is determined from the ...
A.V. Arguchintsev, V.P. Poplevko
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Four-Quadrant Riemann Problem for a 2×2 System II
Mathematics, 2021 In previous work, we considered a four-quadrant Riemann problem for a 2×2 hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of the initial data projects exactly one plane elementary wave.
Jinah Hwang +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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On a hyperbolic system arising in liquid crystals modeling [PDF]
, 2016 We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Sheng.
E. Feireisl +5 more
semanticscholar +1 more source
Constructing hyperbolic systems in the Ashtekar formulation of general relativity [PDF]
, 2000 Hyperbolic formulations of the equations of motion are essential technique for proving the well-posedness of the Cauchy problem of a system, and are also helpful for implementing stable long time evolution in numerical applications.
Alcubierre M. +8 more
core +2 more sources
An Extended Thermodynamics Model for Blood Flow
Mathematics, 2022 A model for blood flow is introduced in the context of the Rational Extended Thermodynamics (RET). The balance equations are applied to the two-hierarchy structure recently introduced by Ruggeri and Sugiyama.
Elvira Barbera, Annamaria Pollino
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