Results 1 to 10 of about 25,082,508 (331)
Alternative methods for solving a hyperbolic system of equations in a simplified water hammer problem [PDF]
E3S Web of Conferences, 2023 The paper addresses a mathematical model of the transient process in a pipeline, namely, a water hammer model. Based on this model, a mixed problem for a system of partial differential equations of hyperbolic type is set.
Sidler Inna +2 more
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Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
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Singular hyperbolic systems [PDF]
Proceedings of the American Mathematical Society, 1999 We construct a class of vector fields on 3-manifolds containing the hyperbolic ones and the geometric Lorenz attractor. Conversely, we shall prove that nonhyperbolic systems in this class resemble the Lorenz attractor: they have Lorenz-like singularities accumulated by periodic orbits and they cannot be approximated by flows with nonhyperbolic critical
Morales, C. A. +2 more
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Global nlassical solvability of a problem with nonlocal conditions for degenerate hyperbolic system of the first order equations [PDF]
Математичні Студії, 2012 Using the method of characteristics and the Banach fixed point theorem we established the existence and uniqueness of a global classical (smooth) solution to an initial-boundary value problem with nonlocal boundary conditions for a hyperbolic integro ...
R. V. Andrusyak +2 more
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PREDICTING THE RELIABILITY OF A TUBING STRING DURING OPERATION A PULSED DOWNHOLE DEVICE
Известия высших учебных заведений: Нефть и газ, 2019 To study the unsteady fluid motion in a tubing string, when it is pumped, the classical equation of hydraulic impact is solved at the first stage. The solution was carried out by separating the variables taking into account all real initial and boundary ...
M. Ya. Khabibullin +2 more
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Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system
Математичні СтудіїUsing the method of characteristics and the Banach fixed point theorem (for the Bielecki metric), in the paper it is established the existence and uniqueness of a global (continuous) solution of the mixed problem in the rectangle $\Pi=\{(x,t)\colon ...
V. M. Kyrylych, O. V. Peliushkevych
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Delay-robust stabilization of a hyperbolic PDE-ODE system
at - Automatisierungstechnik, 2018 We detail in this article the development of a delay-robust stabilizing feedback control law for a linear ordinary differential equation coupled with two linear first order hyperbolic equations in the actuation path.
Jean Auriol +4 more
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Necessary conditions for hyperbolic systems
Bulletin des Sciences Mathématiques, 2002 This paper deals with the Cauchy problem for first order hyperbolic system \(L(x,{\mathcal D})\) having characteristic points of higher multiplicity. In other words, the determinant of the principal symbol has multiple characteristic points. The authors consider the case when at a multiple characteristic point the principal symbol of the system has ...
Bove, Antonio, Nishitani, Tatsuo
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Weakly hyperbolic systems by symmetrization [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019 We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE. The proof not only gives a priori estimates straightforward so simply but also clarifies some effects coming from the spectral structures other than the multiplicities of ...
Ferruccio Colombini +2 more
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Solutions to a first order hyperbolic system [PDF]
Surveys in Mathematics and its Applications, 2018 The study of small perturbations in the shock initiation of an inviscid compressible fluid with chemical reaction leads to a first order hyperbolic system of two equations.
Nezam Iraniparast
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