Exact Stationary Solutions to a General Form of the Kompaneets Equation
Sign Up to like & getrecommendations! Published in 2019 at "Astrophysics"
DOI: 10.1007/s10511-019-09591-6
Abstract: In the present work, we propose a method to build solutions to a general form of the stationary Kompaneets equation. In the nonrelativistic regime, special attention is given to cases where the solutions are expressed… read more here.
Keywords: exact stationary; general form; kompaneets equation; stationary solutions ... See more keywords
On the maximal L-L regularity of solutions to a general linear parabolic system
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DOI: 10.1016/j.jde.2019.09.058
Abstract: We show the existence of solution in the maximal $L_p-L_q$ regularity framework to a class of symmetric parabolic problems on a uniformly $C^2$ domain in ${\mathcal R}$. Our approach consist in showing ${\mathcal R}$ -… read more here.
Keywords: maximal regularity; linear parabolic; regularity; general linear ... See more keywords
A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125037
Abstract: We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions under which the expansions reduce to finite sums as well as the cases… read more here.
Keywords: generalized hypergeometric; confluent heun; confluent; general single ... See more keywords
Bounded solutions for general time interval BSDEs with quadratic growth coefficients and stochastic conditions
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DOI: 10.1142/s021949371850034x
Abstract: This paper deals with bounded solutions for general time interval one-dimensional backward stochastic differential equations (BSDEs for short) with quadratic growth coefficients and stochastic cond... read more here.
Keywords: bounded solutions; time interval; solutions general; general time ... See more keywords
B-Spline Solutions of General Euler-Lagrange Equations
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DOI: 10.3390/math7040365
Abstract: The Euler-Lagrange equations are useful for solving optimization problems in mechanics. In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals. The existing conditions of B-spline solutions to… read more here.
Keywords: lagrange equations; euler lagrange; spline solutions; solutions general ... See more keywords
How Extra Symmetries Affect Solutions in General Relativity
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DOI: 10.3390/universe6100170
Abstract: To get exact solutions to Einstein’s field equations in general relativity, one has to impose some symmetry requirements. Otherwise, the equations are too difficult to solve. However, sometimes, the imposition of too much extra symmetry… read more here.
Keywords: relativity; affect solutions; general relativity; symmetries affect ... See more keywords