Results 21 to 30 of about 1,170 (90)
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
core +1 more source
Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model
Journal of Ocean Engineering and Science, 2022 In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
doaj
Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
core +1 more source
On the Generalized Maxwell-Bloch Equations [PDF]
, 2006 A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems.
Saksida, Pavle
core +4 more sources
Curvature stabilized skyrmions with angular momentum
, 2019 We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of localized solutions to the Landau-Lifshitz equation that are topologically ...
Melcher, Christof, Sakellaris, Zisis N.
core +1 more source
On the propagation of an optical wave in a photorefractive medium [PDF]
Mathematical Models and Methods in Applied Sciences 17, 11 (2007)
1883-1904, 2007 The aim of this paper is first to review the derivation of a model describing the propagation of an optical wave in a photorefractive medium and to present various mathematical results on this model: Cauchy problem, solitary waves.
arxiv +1 more source
Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
doaj +1 more source
Prolongation Loop Algebras for a Solitonic System of Equations [PDF]
, 2006 We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Backlund transformation preserves the reality
Agrotis, Maria A.
core +4 more sources
On the well-posedness of a multiscale mathematical model for Lithium-ion batteries
Advances in Nonlinear Analysis, 2018 We consider the mathematical treatment of a system of nonlinear partial differential equations based on a model, proposed in 1972 by J. Newman, in which the coupling between the Lithium concentration, the phase potentials and temperature in the ...
Díaz J. Ildefonso +2 more
doaj +1 more source
Ground state solutions to the nonlinear Schrodinger-Maxwell equations [PDF]
, 2007 We prove the existence of ground state solutions for the nonlinear Schrodinger-Maxwell equations.
arxiv +1 more source