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Chaos for the Hyperbolic Bioheat Equation [PDF]

open access: yesDiscrete and Continuous Dynamical Systems, 2015
The Hyperbolic Heat Transfer Equation describes heat processes in which extremely short periods of time or extreme temperature gradients are involved. It is already known that there are solutions of this equation which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces of analytic functions with certain growth control. We show that
J Alberto Conejero   +2 more
exaly   +5 more sources

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 ...
Oscar A Reula
exaly   +5 more sources

Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
doaj   +3 more sources

On green’s function of second darboux problem for hyperbolic equation

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
A definition and justify a method for constructing the Green’s function of the second Darboux problem for a two-dimensional linear hyperbolic equation of the second order in a characteristic triangle is given.
B. Derbissaly
doaj   +1 more source

Connections between reflected entropies and hyperbolic string vertices

open access: yesJournal of High Energy Physics, 2022
In this paper, we establish connections between the reflected entropies of multipartite mixed states in CFT2 and hyperbolic string vertices of closed string field theory (CSFT).
Peng Wang, Houwen Wu, Haitang Yang
doaj   +1 more source

The Cauchy problem for a general hyperbolic differential equation of the n-th order with the nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Dunkl Hyperbolic Equations [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.
openaire   +4 more sources

The Goursat-type problem for a hyperbolic equation and system of third order hyperbolic equations

open access: yesVestnik 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
doaj   +1 more source

Hyperbolic integrodifferential equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Hyperbolic integrodifferential equations are defined and conditions sufficient for hyperbolicity are given. The theory includes that of constant coefficient hyperbolic partial differential equations. Other examples are given.
openaire   +1 more source

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

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