Results 11 to 20 of about 299,404 (263)
On fundamental matrix solutions [PDF]
Proceedings of the American Mathematical Society, 1954 (1) l[y] -y'A(x)y = 0, s[y] My(a) + Ny(b) = 0, can be represented in terms of the Green's matrix of the system, or in terms of a special generalized Green's matrix in case the system (1) is compatible. For the system (1), A (x) is an n Xn matrix of complex-valued continuous functions of the real variable x on the finite interval a
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Геодинамика и тектонофизика, 2019 The article presents accurate solutions for the problem for two elastic half‐spaces with an arbitrary curvilinear interface. Our study shows that dilatation solutions (Poisson integrals) are dependent on neither an overall compression modulus nor the ...
B. P. Sibiryakov, E. A. Khogoev
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Fundamental solutions in the full coupled theory of elasticity for solid with double porosity
Archives of Mechanics, 2013 This paper discusses the full coupled linear theory of elasticity for solids with double porosity. The system of the governing equations is based on the equations of motion, conservation of fluid mass, the constitutive equations and Darcy’s law for ...
M. Svanadze, S. De Cicco
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On the fundamental solutions-based inversion of Laplace matrices
Results in Applied Mathematics, 2022 The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green’s functions) for general boundary ...
F.J. Vermolen, D.R. den Bakker, C. Vuik
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Destructiveness of pyroclastic surges controlled by turbulent fluctuations
Nature Communications, 2021 The hazards of pyroclastic surges remain poorly mitigated globally. Here, the authors show that their destructiveness is amplified by turbulent excursions of dynamic pressure energy that focusses inside the largest eddies and internal gravity waves.
Ermanno Brosch +7 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We present and prove a new generalisation of the Malgrange–Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary
Dumitru Baleanu, Arran Fernandez
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On Fundamental Solutions in Clifford Analysis [PDF]
Complex Analysis and Operator Theory, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brackx, Fred +3 more
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Frontiers in Human Neuroscience, 2023 IntroductionParkinson's disease (PD) is a movement disorder characterized by the pathological beta band (15–30 Hz) neural oscillations within the basal ganglia (BG).
Fatemeh Bahadori-Jahromi +5 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space.
Howard S. Cohl
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Singularity methods for magnetohydrodynamics
International Journal of Mathematics and Mathematical Sciences, 1986 Singular solutions for linearized MHD equations based on Oseen approximations have been obtained such as Oseenslet. Oseenrotlet, mass source, etc. By suitably distributing these singular solutions along the axes of symmetry of an axially symmetric bodies,
A. D. Alawneh, N. T. Shawagfeh
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