Results 21 to 30 of about 1,218,779 (86)
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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Stationary solutions for the Cahn-Hilliard equation [PDF]
, 1998 We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point.
Winter, M, Wei, J
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Deng, Xijun, Cao, Jinlong, Parkes, E.J.
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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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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 ...
openaire +1 more source
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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Neumann problem on the semi-line for the Burgers equation [PDF]
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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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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Screening and identification of small molecule inhibitors of ErbB2‐induced invasion
Molecular Oncology, Volume 8, Issue 8, Page 1703-1718, December 2014., 2014 ERBB2 amplification and overexpression are strongly associated with invasive cancer with high recurrence and poor prognosis. Enhanced ErbB2 signaling induces cysteine cathepsin B and L expression leading to their higher proteolytic activity (zFRase activity), which is crucial for the invasion of ErbB2‐positive breast cancer cells in vitro.
D.M. Brix +6 more
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