Results 11 to 20 of about 5,509,064 (298)
Averaging for Fundamental Solutions of Parabolic Equations
Journal of Differential Equations, 1997 Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,ε-dependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the fundamental solution of an “averaged” parabolic equation,
Kouritzin, Michael
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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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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The hybrid solution for the Fundamental Plane [PDF]
Monthly Notices of the Royal Astronomical Society, 2013 By exploiting the data base of early-type galaxy (ETG) members of the WINGS survey of nearby clusters, we address here the long debated question of the origin and shape of the Fundamental Plane (FP). Our data suggest that different physical mechanisms concur in shaping and 'tilting' the FP with respect to the virial plane (VP) expectation.
D'ONOFRIO, MAURO +16 more
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Monodromy of A-hypergeometric functions [PDF]
, 2016 Using Mellin-Barnes integrals we give a method to compute elements of the monodromy group of an A-hypergeometric system of differential equations. The method works under the assumption that the A-hypergeometric system has a basis of solutions consisting ...
Beukers, Frits +2 more
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