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math.AP2011★ 1 cited
On the supercritical KdV equation with time-oscillating nonlinearity
M. Panthee, M. Scialom
For the initial value problem (IVP) associated the generalized Korteweg-de Vries (gKdV) equation with supercritical nonlinearity, u_{t}+\partial_x^3u+\partial_x(u^{k+1}) =0,\qquad…
math.AP2011
Analysis of a diffusive effective mass model for nanowires
Jourdana Clément, Nicolas Vauchelet
We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron tr…