Results 11 to 20 of about 1,298,535 (243)
The Goursat-type problem for a hyperbolic equation and system of third order hyperbolic equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In the first part of this study, the well-posed Goursat-type problem is considered for the hyperbolic differential equation of the third order with non-multiple characteristics.
Aleksandr Anatol'evich Andreev +1 more
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Hyperbolic Methods for Einstein’s Equations [PDF]
Living 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 ...
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The Bitsadze--Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
Vestnik 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
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Vestnik 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
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
Abstract 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
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Spectral problem for the sixth order nonclassical differential equations
Қарағанды 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
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The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
Demonstratio 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
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On the Parabolic and Hyperbolic Liouville Equations [PDF]
Communications 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
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Weak Solutions for a Simple Hyperbolic System [PDF]
, 2001 The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions.
Lyne, Owen D., Williams, David S.
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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