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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Solvability of a nonlocal problem for a hyperbolic equation with degenerate integral conditions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In this paper, we consider a nonlocal problem with integral conditions for hyperbolic equation. Close attention focuses on degenerate integral conditions, namely, on the second kind integral conditions which degenerate into the first kind conditions at ...
Ludmila Stepanovna Pulkina +1 more
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Stability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach [PDF]
, 2018 In this paper, we consider Burgers' equation with uncertain boundary and initial conditions. The polynomial chaos (PC) approach yields a hyperbolic system of deterministic equations, which can be solved by several numerical methods.
Glaubitz, Jan +2 more
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Mathematical general relativity: a sampler [PDF]
, 2010 We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.Comment: Some updates. A shortened version, to appear in the Bulletin of the AMS, is available online at http://www.ams.org ...
Chruściel, Piotr T. +2 more
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A boundary-value problem with shift for a hyperbolic equation degenerate in the interior of a region
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 For a degenerate hyperbolic equation in characteristic region (lune) a boundary-value problem with operators of fractional integro-differentiation is studied.
Oleg A Repin, Svetlana K Kumykova
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On an age and spatially structured population model for Proteus Mirabilis swarm-colony development
, 2007 Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically.
Laurençot, Philippe, Walker, Christoph
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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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The problem with Saigo operators for a hyperbolic equation that degenerates inside the domain
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 A nonlocal problem is investigated for a degenerate hyperbolic equation $$ |y|^{m} u_{xx}-u_{yy}+a |y|^{\frac{m}{2}-1} u_{x}=0 $$ in a domain bounded by the characteristics of this equation.
Oleg A Repin
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Внутреннекраевые задачи со смещением для смешанно-волнового уравнения
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 В работе исследованы краевые задачи с внутреннекраевым смещением для модельного смешанно-волнового уравнения, которые являются обобщениями задачи Гурса и задач с данными на противоположных характеристиках.
Балкизов, Ж.А. +1 more
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Dirichlet Problem for Degenerate Fractional Parabolic Hyperbolic Equations
, 2022 41 ...
Huaroto, Gerardo, Neves, Wladimir
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