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 ...

Even with the most-sophisticated motion controller, designers can still find it difficult to attain precise linear motion unless the mechanical components are appropriately designed for the ...

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 ...

Linear motors and ball-screw drives seem to hog the limelight when it comes to linear motion. Rack-and-pinion drives, another type of linear motion device, get no respect. But they are perfectly ...

Development of the theory of partial differential equations (PDEs) was one of the key influences behind the scientific revolution of the late 19th-century as it brought a powerful quantitative tool ...