Výsledky vyhledávání - "GOURSAT problem"

Akademický článek

Noble-Abel gas diffusion at convex corners of the two-dimensional compressible magnetohydrodynamic system

Autor: Fei Zhu

Publikováno v: AIMS Mathematics, Vol 9, Iss 9, Pp 23786-23811 (2024)

In this paper, we study the expansion of Noble-Abel gas into a vacuum around the convex corner of the two-dimensional compressible magnetohydrodynamic system. We reduce this problem to the interaction of a centered simple wave emanating from the conv

Externí odkaz: https://doaj.org/article/99602bf3a4ab4b0a98d073dd2122d286

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Akademický článek

Qualitative analysis of fourth-order hyperbolic equations

Autor: Yuliia Andreieva, Kateryna Buryachenko

Publikováno v: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)

We investigate the qualitative properties of weak solutions to the boundary value problems for fourth-order linear hyperbolic equations with constant coefficients in a plane bounded domain convex with respect to characteristics. Our main scope is to

Externí odkaz: https://doaj.org/article/d24b1c427e0744d28e8827edf9516d3a

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Akademický článek

Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method

Autor: F. Birem, A. Boulmerka, H. Laib, C. Hennous

Publikováno v: Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 2, Pp 613-637 (2024)

The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients. The Goursat PDE is tra

Externí odkaz: https://doaj.org/article/7af332dbe79b480390a68c48e9ee1881

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Akademický článek

Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method.

Autor: Birem, F., Boulmerka, A., Laib, H., Hennous, C.

Publikováno v: Iranian Journal of Numerical Analysis & Optimization; 2024, Vol. 14 Issue 2, p613-637, 25p

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Akademický článek

Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy–Carleman

Autor: Smail Latreche, Kaddour Guerbati, Rafik Guefaifia, Ibrahim Mekawy, Asma Alharbi, Rashid Jan

Publikováno v: Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100671- (2024)

The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d−1 in t

Externí odkaz: https://doaj.org/article/20691d9e19194832b96cd8d8fed219b5

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