SIAM Journal on Applied Mathematics, Vol. 67, No. 1 (2006), pp. 46-68 (23 pages) New quantum hydrodynamic equations are derived from a Wigner-Boltzmann model, using the quantum entropy minimization ...

Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as ...

The study of stochastic differential equations (SDEs) has long been a cornerstone in the modelling of complex systems affected by randomness. In recent years, the extension to G-Brownian motion has ...

There are nuances to particle movement and energy at tiny scales that one of Einstein's equations did not capture, according to a paper published in Science this week. Researchers were able to measure ...