Entropic Aspects of Nonlinear Partial Differential Equations: Classical and Quantum Mechanical Perspectives

Dear Colleagues,

This Special Issue is devoted to the intense activity currently going on concerning the properties and the applications of nonlinear partial differential equations, classical and quantal, that are closely related to nonstandard entropic functionals, such as the Tsallis and Renyi entropies. This research extends and generalizes some fundamental aspects of important partial differential equations of applied mathematics and of mathematical physics, such as the linear diffusion and Fokker-Planck equations, that are closely linked to the standard, logarithmic Boltzmann-Gibbs-Shannon-Jaynes entropic measure. These kind of connections can be extended to the realm of nonlinear partial differential equations, via the aforementioned generalized entropic functionals. This Special Issue looks for new developments and/or new results, in both classical and quantum realms, regarding the connection between nonstandard entropies and nonlinear partial differential equations.

Prof. Angelo Plastino
Guest Editor

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