Results 11 to 20 of about 27,850 (167)

Properties of the averaging along the characteristics hyperbolic of the system operator

Lietuvos Matematikos Rinkinys, 2012
Examing the averaged equations system with periodic initial conditions. Proved the lemmas, which allow to reorganize the system in to the form similar to a semi-linear hyperbolic system written in Riemann invariants. This allows to set conditions for the
Aleksandras Krylovas, Olga Lavcel-Budko   +1 more
doaj   +1 more source

Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on the solution is studied. We assume that the coefficients are continuous nonlinear operators in the Banach space C1(ℝ) satisfying some additional assumptions ...
Zdanowicz Małgorzata, Peradzyński Zbigniew   +1 more
doaj   +1 more source

Numerical simulations for non conservative hyperbolic system. Application to transient two-phase flow with cavitation phenomenon

Mathematical Modelling and Analysis, 2019
A numerical method for simulating transient flows of gas-liquid mixtures is proposed. The mathematical model, established for a suspension of gas bubbles in liquid, includes an equation taking into account the relative velocity between the gas and liquid.
Boujemâa Achchab, Abdellatif Agouzal, Abdelmjid Q. El Idrissi   +2 more
doaj   +1 more source

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, Novitsky Nikolay, Grazhdantseva Elena   +2 more
doaj   +1 more source

Asymptotics of the solution of the hyperbolic system with a small parameter

MANAS: Journal of Engineering, 2022
Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is ...
Asan Omuraliev, Ella Abylaeva
doaj   +1 more source

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., Pacifico, M. J., Pujals, E. R.   +2 more
openaire   +1 more source

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, V. M. Kyrylych, O. V. Peliushkevych   +2 more
doaj  

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, I. G. Arslanov, R. I. Suleymanov   +2 more
doaj   +1 more source

Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system

Математичні Студії
Using 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
doaj   +1 more source

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
openaire   +1 more source