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A fundamental solution to the CCC equations [PDF]
General Relativity and Gravitation, 2014 We display a simple solution to the Penrose CCC scenario. For this solution we chose for the late stages of the previous aeon a FRW, k=0, universe with a both a cosmological constant and radiation (no mass) while for the early stages of the 'present' aeon we have again a FRW universe, k=0, with the same cosmological constant and again with radiation ...
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Fundamental Solutions in the Generalized Theory of Thermoelastic Diffusion with Triple Porosity
Engineering Transactions, 2023 The main aim of this paper is to derive the basic governing equations for an anisotropic thermoelastic medium with mass diffusion and triple porosity.
Tarun KANSAL
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Supersymmetry, Duality and Bound States [PDF]
, 1996 $P$-brane solutions of low-energy string actions have traditionally provided the first evidence for the existence of string dualities, in which fundamental and solitonic $p$-branes are identified with perturbative and non-perturbative BPS states. In this
Khuri, Ramzi R.
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Fundamental solutions for the new coupled Konno-Oono equation in magnetic field
Results in Physics, 2020 We implement an efficient solver to retrieve solutions to the nonlinear new coupled Konno–Oono (CKO) equation. This solver presents the closed form of solutions.
Mahmoud A.E. Abdelrahman +1 more
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Transport in nanopores and nanochannels: some fundamental challenges and nature-inspired solutions
Materials Today Advances, 2020 The field of solid-state nanopores and nanochannels has grown exponentially in the past five years. Recent advances have greatly broadened the spectrum of available gating stimuli, expanded applications in sensing, energy conversion, and separation ...
Y.A. Perez Sirkin +2 more
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, 2003 We search for tubular solutions in unstable D3-brane. With critical electric field E=1, solutions representing supertubes, which are supersymmetric bound states of fundamental strings, D0-branes, and a cylindrical D2-brane, are found and shown to exhibit
A. Sen +38 more
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Fundamental solutions for the Tricomi operator, II [PDF]
Duke Mathematical Journal, 2002 We explicitly calculate fundamental solutions for the Tricomi operator relative to a point in the hyperbolic region and show that these solutions originate from the hypergeometric function F(1/6,1/6;1;z).
Barros-Neto, J., Gelfand, I. M.
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Solution for (1+1) dimensional surface solitons in thermal nonlinear media
, 2011 Analytical solutions for (1+1)D surface fundamental solitons in thermal nonlinear media are obtained. The stationary position and the critical power of surface solitons are obtained using this analytical solutions.
Guo, Qi +4 more
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The Dirichlet problem for the generalized bi-axially symmetric Helmholtz equation [PDF]
, 2014 In [18], fundamental solutions for the generalized bi-axially symmetric Helmholtz equation were constructed in $R_2^ + = \left\{ {\left( {x,y} \right):x > 0,y > 0} \right\}.$ They contain Kummer's confluent hypergeometric functions in three variables. In
Hasanov, Anvar, Salakhitdinov, M. S.
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On Fundamental Solutions of Elliptic Equations [PDF]
Proceedings of the American Mathematical Society, 1961 In this paper we prove: Let L be an elliptic operator in (x, t) with constant coefficients, the coefficients of the lower derivatives being zero, and let Lo be the operator obtained from L by deleting all the terms involving t-derivatives. Let K(x, t) be a fundamental solution of Lu = 0.
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