Results 11 to 20 of about 21,141 (257)

Hyperbolic Methods for Einstein’s Equations [PDF]

open access: yesLiving Reviews in Relativity, 1998
Je passe en revue les aspects évolutifs de la relativité générale, en particulier ceux liés au caractère hyperbolique des équations de champ et aux applications ou conséquences que cette propriété entraîne. J'examine plusieurs approches pour obtenir des systèmes d'équations hyperboliques symétriques à partir des équations d'Einstein en supprimant ...
openaire   +4 more sources

On the Parabolic and Hyperbolic Liouville Equations [PDF]

open access: yesCommunications in Mathematical Physics, 2021
AbstractWe study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β
Oh, Tadahiro   +2 more
openaire   +5 more sources

The Bitsadze--Samarskii problem for some characteristically loaded hyperbolic-parabolic equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Khubiev, Kazbek Uzeirovich
doaj   +3 more sources

Cauchy problem for the system of the general hyperbolic differential equations of the forth order with nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Uniform stabilization of a coupled structural acoustic system by boundary dissipation

open access: yesAbstract and Applied Analysis, 1998
We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation.
Mehmet Camurdan
doaj   +1 more source

Spectral problem for the sixth order nonclassical differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov   +4 more
doaj   +1 more source

The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation

open access: yesDemonstratio Mathematica, 2014
We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.
Karpowicz Adrian
doaj   +1 more source

On Solving Hyperbolic Trajectory Using New Predictor-Corrector Quadrature Algorithms

open access: yesمجلة بغداد للعلوم, 2014
In this Paper, we proposed two new predictor corrector methods for solving Kepler's equation in hyperbolic case using quadrature formula which plays an important and significant rule in the evaluation of the integrals.
Baghdad Science Journal
doaj   +1 more source

The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

open access: yesResults in Physics, 2021
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj   +1 more source

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

open access: yesJournal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed   +1 more
doaj   +1 more source

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