Results 21 to 30 of about 101 (75)
Iterative methods of Ambartsumian equations’ solutions. Part 2
University proceedings. Volga region. Physical and mathematical sciences, 2021 Background. Ambartsumian equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. Ambartsumian equation plays an important role in the study of light scattering in media of infinite optical thickness.
I.V. Boykov, A.A. Pivkina
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Animal models of pulmonary hypertension: Getting to the heart of the problem
British Journal of Pharmacology, Volume 179, Issue 5, Page 811-837, March 2022., 2022 Despite recent therapeutic advances, pulmonary hypertension (PH) remains a fatal disease due to the development of right ventricular (RV) failure. At present, no treatments targeted at the right ventricle are available, and RV function is not widely considered in the preclinical assessment of new therapeutics.
Joshua P. Dignam +3 more
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Unmixing Mineral Abundance and Mg# With Radiative Transfer Theory: Modeling and Applications
Journal of Geophysical Research: Planets, Volume 126, Issue 2, February 2021., 2021 Abstract Mineral abundance and Mg# (100× molar Mg/(Mg + Fe)) are significant in understanding the crustal composition and thermal history of the Moon. In this study, we derive a new set of optical constants for olivine, orthopyroxene, and clinopyroxene using radiative transfer equations that include soil porosity and the opposition effect. Based on the
Lingzhi Sun, Paul G. Lucey
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Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform
, 2023 The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Hind K. Al-Jeaid, Reem Alrebdi
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Communications of the Byurakan Astrophysical Observatory, 2023 A new approach to solving of the Ambartsumian’s functional equation is presented. Its application is illustrated on the two classical cases: a) in the case of a plane-parallel semi-infinite medium with monochromatic anisotropic scattering and b) the simple one-dimensional problem of diffuse reflection of radiation from the scattering-absorbing semi ...
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A Method of Finding Source Function for Inverse Diffusion Problem with Time‐Fractional Derivative
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time‐fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable
Vildan Gülkaç, Ricardo Weder
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Calculation of the stability of composite rods according to the non-classical bending model [PDF]
, 2022 The problem of the effect of deformations of transverse shear and transverse compression on the value of the critical stress in the problem of the loss of stability of a transversely isotropic rod is considered.
Шваб’юк, В. В. +5 more
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Modified Theories of Gravitation behind the Spacetime Deformation
Physics Research International, Volume 2015, Issue 1, 2015., 2015 In the framework of proposed theory of spacetime deformation/distortion, we have a way to deform the spacetime through a nontrivial choice of the distortion‐complex, displaying different connections, which may reveal different post‐Riemannian spacetime structures as corollary. We extend this theory to address, in particular, the gauge model of the most
Gagik Ter-Kazarian, Bennie F. L. Ward
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Growth of Accreting Supermassive Black Hole Seeds and Neutrino Radiation
Journal of Astrophysics, Volume 2015, Issue 1, 2015., 2015 In the framework of microscopic theory of black hole (MTBH), which explores the most important processes of rearrangement of vacuum state and spontaneous breaking of gravitation gauge symmetry at huge energies, we have undertaken a large series of numerical simulations with the goal to trace an evolution of the mass assembly history of 377 plausible ...
Gagik Ter-Kazarian, Gary Wegner
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A Brief Observational History of the Black‐Hole Spacetimes
Advances in Mathematical Physics, Volume 2015, Issue 1, 2015., 2015 In this year (2015), black holes (BHs) celebrate their 100th birthday, if their birth is taken to be triggered by a handwritten letter from Martin Schwarzschild to Albert Einstein, in connection with his newly found spherically symmetric vacuum solution.
Wolfgang Kundt, Seyed H. Hendi
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