Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04726-z
Abstract: We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives. read more here.
Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type ... See more keywords
Hybrid fundamental solution based finite element method for axisymmetric potential problems
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.03.009
Abstract: Abstract This paper describes a new type of hybrid fundamental solution based finite element method (HFS-FEM) for analysis of axisymmetric potential problems in multiply connected domain. In this approach, two independent potential fields are assumed… read more here.
Keywords: finite element; solution based; method; fundamental solution ... See more keywords
Fundamental solution and uniqueness theorems in the linear theory of thermoviscoelasticity for solids with double porosity
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DOI: 10.1080/01495739.2017.1351326
Abstract: ABSTRACT In this article, the linear theory of thermoviscoelasticity for Kelvin–Voigt materials with double porosity is considered. The fundamental solution of the system of equations of steady vibrations is constructed by elementary functions and its… read more here.
Keywords: uniqueness theorems; double porosity; fundamental solution; linear theory ... See more keywords
Fundamental solution of a multidimensional axisymmetric equation
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DOI: 10.1080/17476933.2017.1359578
Abstract: Abstract For the axisymmetric Helmholtz equation it is shown that fundamental solutions constructed by the Gellerstedt method and by means of a transmutation operator are coinciding. read more here.
Keywords: solution multidimensional; fundamental solution; multidimensional axisymmetric; axisymmetric equation ... See more keywords
Fundamental solution of the elasticity theory equations in displacements for a transversely isotropic medium
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DOI: 10.1134/s0012266117050056
Abstract: We consider a linear fourth-order elliptic partial differential equation describing the displacements of a transversely isotropic linearly elastic medium. We find the symmetries of this equation and of the inhomogeneous equation with the delta function… read more here.
Keywords: displacements transversely; solution elasticity; fundamental solution; equation ... See more keywords
On the fundamental solution of the Fokker–Planck–Kolmogorov equation
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DOI: 10.1134/s1064562417010161
Abstract: The Fokker–Planck–Kolmogorov parabolic second-order differential operator is considered, for which its fundamental solution is derived in explicit form. Such operators arise in numerous applications, including signal filtering, portfolio control in financial mathematics, plasma physics, and… read more here.
Keywords: fokker planck; planck kolmogorov; fundamental solution;
Fundamental solution of the multi-dimensional time fractional telegraph equation
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DOI: 10.1515/fca-2017-0046
Abstract: Abstract In this paper we study the fundamental solution (FS) of the multidimensional time-fractional telegraph equation where the time-fractional derivatives of orders α ∈]0,1] and β ∈]1,2] are in the Caputo sense. Using the Fourier… read more here.
Keywords: fractional telegraph; time fractional; time; fundamental solution ... See more keywords