On the physical validity of theLane-Emden equation in (y;z)-plane

1967 ◽  
Vol 23 (9) ◽  
pp. 697-697
Author(s):  
Shambhunath Srivastava
Keyword(s):  
Emden Equation ◽  
Physical Validity

Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential

2020 ◽  
Vol 20 (2) ◽  
pp. 339-359
Author(s):  
Huyuan Chen ◽  
Xia Huang ◽  
Feng Zhou
Keyword(s):  
Positive Solutions ◽  
Emden Equation

AbstractOur purpose in this paper is to study positive solutions of the Lane–Emden equation-\Delta u=Vu^{p}\quad\text{in }\mathbb{R}^{N}\setminus\{0\},perturbed by a nonhomogeneous potential V, with p\in(\frac{N}{N-2},p_{c}), where {p_{c}} is the Joseph–Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.

scholarly journals On the physical validity of the proposed separation potentials for multicomponent mixtures

2018 ◽  
Vol 1099 ◽  
pp. 012007
Author(s):  
A Yu Smirnov ◽  
G A Sulaberidze ◽  
A R Mustafin ◽  
E Yu Goloulin
Keyword(s):  
Multicomponent Mixtures ◽  
Physical Validity

scholarly journals Shadow cast of noncommutative black holes in Rastall gravity

2020 ◽  
Vol 35 (20) ◽  
pp. 2050163 ◽  
Author(s):  
Ali Övgün ◽  
İzzet Sakallı ◽  
Joel Saavedra ◽  
Carlos Leiva
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Emission Rate ◽  
Model Parameters ◽  
Spherically Symmetric ◽  
Image Model ◽  
Schwarzschild Black Hole ◽  
Physical Validity ◽  
Shadow Cast ◽  
Noncommutative Parameter

We study the shadow and energy emission rate of a spherically symmetric noncommutative black hole in Rastall gravity. Depending on the model parameters, the noncommutative black hole can reduce to the Schwarzschild black hole. Since the nonvanishing noncommutative parameter affects the formation of event horizon, the visibility of the resulting shadow depends on the noncommutative parameter in Rastall gravity. The obtained sectional shadows respect the unstable circular orbit condition, which is crucial for physical validity of the black hole image model.

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