Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

We study a d-dimensional wave equation model (2 ≤ d ≤ 4) with quadratic nonlinearity and stochastic forcing given by a space-time fractional noise. Two different regimes are exhibited, depending on ...

Journal of Computational Mathematics, Vol. 22, No. 2, SPECIAL ISSUE DEDICATED TO THE 70TH BIRTHDAY OF PROFESSOR ZHONG-CI SHI (MARCH 2004), pp. 250-274 (25 pages) In this paper, we further develop the ...

A while back, [Chris Lu] was studying how analog circuits, specifically op-amps can be used to perform mathematical operations and wondered if they could be persuaded to solve differential equations, ...

According to quantum mechanics, the physics theory that describes the zoo of subatomic particles, all matter can be described as both particles and waves. But is it real? When you purchase through ...

Pressure waves propagating through bubble-containing liquids in tubes experience considerable attenuation. Researchers have now derived an equation describing this phenomenon, demonstrating that ...

The Born rule, which connects the math of quantum theory to the outcomes of experiments, has been derived from simpler physical principles. The new work promises to give researchers a better grip on ...