For much of my career, I have been fascinated by the ways in which materials behave when we reduce their dimensions to the ...

Abstract: The operation of double-barrier resonant tunneling diodes (RTDs) is investigated through self-consistent numerical solution of the Wigner transport equation. Prevalent boundary conditions ...

Let n ≥ 3. We show that there is no topological vector space $\mathrm{X}\subset {\mathrm{L}}^{\mathrm{\infty }}\cap {\mathrm{L}}_{\mathrm{l}\mathrm{o}\mathrm{c}}^{1 ...

State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, China Soil erosion has become a global problem with serious consequences. It is the source of sediment ...

A Chinese mathematical genius nicknamed “God Wei” showcased his extraordinary talent when he solved a vexing problem in one night that had stumped a team of six PhD mathematicians for four months.

We analyze the global convergence properties of the filtered spherical harmonic (FPN) equations for radiation transport. The well-known spherical harmonic (PN) equations are a spectral method (in ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Non-Commercial (NC): Only non-commercial uses of the work are permitted. Understanding ...

Model kinetic equations are proposed for the description of ionized monoatomic gas mixture flows. The mixtures are assumed enough rarefied to be treated as ideal gases after multiple ionization steps.