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Published in 2018 at "Acta Mechanica"
DOI: 10.1007/s00707-018-2137-z
Abstract: In this paper we have obtained different families of exact solutions for incompressible generalized Beltrami flows. We derive all possible polynomial solutions of incompressible axisymmetric generalized Beltrami flows in the variables r and z in…
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Keywords:
generalized beltrami;
polynomial solutions;
axisymmetric generalized;
beltrami flows ... See more keywords
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Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0666-4
Abstract: In this paper we study the fractional analogous of the Laplace–Beltrami equation and the hyperbolic Riesz system studied previously by H. Leutwiler, in $${\mathbb {R}}^3$$R3. In both cases we replace the integer derivatives by Caputo…
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Keywords:
polynomial solutions;
fractional riesz;
riesz system;
solutions fractional ... See more keywords
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Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.01.002
Abstract: Abstract We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the…
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Keywords:
polynomial solutions;
linear equations;
general polynomial;
equations general ... See more keywords
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Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5043487
Abstract: The number of quantum systems for which the stationary Schrodinger equation is exactly solvable is very limited. These systems constitute the basic elements of the quantum theory of perturbation. The exact polynomial solutions for real…
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Keywords:
polynomial solutions;
development perturbation;
perturbation theory;
perturbation ... See more keywords
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Published in 2019 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2019-2017
Abstract: Abstract In this note we are concerned with the question: When are the polynomial solutions to a system of linear constant coefficient PDEs dense in the set of all its solutions?
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Keywords:
constant coefficients;
pdes constant;
polynomial solutions;
linear pdes ... See more keywords