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Global attractor for degenerate damped hyperbolic equations
Journal of Mathematical Analysis and Applications, 2017 This paper deals with the asymptotic behavior of the solutins of the following problem: \[ \partial_{tt} u(x,t) +\beta u_t(x,t) =\mathcal{L} u(x,t) + f(u(x,t)) \quad x\in \Omega, \;t>0 \] \[ u(x,t) =0 \quad x\in \partial \Omega, \;t>0 \] and \[ u(x,0)=u_0(x), \;\;u_t(x,0) = u_1(x), \quad x\in \Omega, \] where \(\Omega\) is bounded domain in \(\mathbb{R}
Li, Dandan +2 more
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A New Generalized Harmonic Evolution System [PDF]
, 2006 A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate, and symmetric hyperbolic. This new system uses the generalized harmonic method to specify the coordinates, and exponentially suppresses all ...
Kidder, Lawrence E. +4 more
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A boundary value problem for the fourth-order degenerate equation of the mixed type
Қарағанды университетінің хабаршысы. Математика сериясыMany problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Sobolev type equations now constitute a vast area of nonclassical equations of mathematical physics. Those called nonclassical equations of mathematical physics, whose representation in the form of equations or systems of equations partial does not fit ...
Minzilia A Sagadeeva, Andrey N Shulepov
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On the convexity of Relativistic Ideal Magnetohydrodynamics [PDF]
, 2015 We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely non-linear ...
Aloy, Miguel-Ángel +4 more
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On the Cauchy problem of degenerate hyperbolic equations [PDF]
Transactions of the American Mathematical Society, 2005 The paper refers to the existence of smooth solutions for the Cauchy problem for a \(n\)-dimensional degenerate hyperbolic equation. The degeneracy occurs since the function \(K(x,t)\) multiplying the linear combination of second order spatial derivatives is allowed to vanish.
Han, Q., Hong, J. X., Lin, C. S.
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On a class of nonlocal problems for hyperbolic equations with degeneration of type and order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Nonlocal problems for the second order hyperbolic model equation were studied in the characteristic area. The type and order of equations degenerate on the same line $y = 0$.
Oleg A Repin, Svetlana K Kumykova
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Classification of phase singularities for complex scalar waves [PDF]
, 2006 Motivated by the importance and universal character of phase singularities which are clarified recently, we study the local structure of equi-phase loci near the dislocation locus of complex valued planar and spatial waves, from the viewpoint of ...
Adachi, Jiro, Ishikawa, Go-o
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Dirichlet Problem for Degenerate Fractional Parabolic Hyperbolic Equations
, 2022 41 ...
Huaroto, Gerardo, Neves, Wladimir
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Solvability of Degenerating Hyperbolic Differential Equations with Unbounded Operator Coefficients [PDF]
Differential Equations, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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