Results 1 to 10 of about 353 (53)
Journal of Ocean Engineering and Science, 2022 This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
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Analytical behavior of weakly dispersive surface and internal waves in the ocean
Journal of Ocean Engineering and Science, 2022 The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin +3 more
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Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
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Forum of Mathematics, Sigma, 2015 We introduce a novel solution concept, denoted ${\it\alpha}$-dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with ...
KATRIN GRUNERT +2 more
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Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential [PDF]
, 2015 We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument
Robbe, Virgile
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Recovery of the absorption coefficient in radiative transport from a single measurement [PDF]
, 2015 In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time.
Acosta, Sebastian
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Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model [PDF]
, 2014 We present a parareal in time algorithm for the simulation of neutron diffusion transient model. The method is made efficient by means of a coarse solver defined with large time steps and steady control rods model.
Baudron, Anne-Marie A. -M. +4 more
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STATIONARY BOLTZMANN EQUATION AND THE NONLINEAR ALTERNATIVE OF LERAY-SCHAUDER TYPE
, 2014 Rafael Galeano Andrades,Pedro Ortega PalenciaandJohnFredys Cantillo PalacioInstitute of Applied Mathematics,Universidad de Cartagena,Cartagena, Colombia.rgaleanoa@unicartagena.edu.co, portegap@unicartagena.edu.co,jcantillop@unicartagena.edu.coABSTRACTBy ...
Rafael Galeano Andrades +2 more
semanticscholar +1 more source
Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
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