Researchers in Netherlands and Belgium have created a numerical model to simulate the moisture ingress in PV modules. Their ...

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest ...

Hall's equation is the first to simultaneously describe friction for both a molecule's internal fluctuations and its external diffusion through the fluid ... might be of the point-in-time nature, and ...

We study several diffusion equations over triangular mesh surfaces and present ... Besides the flexibility, our methods are efficient due to the implicit/semi-implicit time discretization. We finally ...

We thought it would be helpful to put together a glossary with definitions of some of the most important words and phrases that we use in our articles.

The sweeping rise of AI and AI art and video in particular has left many artists reeling, struggling to square the circle of ...

The Fisher equation with non-linear diffusion is known as modified ... but when diffusion is strongly non-linear the eigenvalues method gives the wrong answer. For a long time diffusion has been used ...

This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution ... such as anomalous diffusion, continuous time random walks, stochastic resonance ...

Abstract: The visualization of time-dependent flow is an important and challenging ... This process obeys a nonlinear transport diffusion equation with typically dominant transport. Starting from some ...

A groundbreaking thermal diffusivity microscope captures anisotropic heat flow in materials, enabling next-gen electronics, solar tech, and safer devices.

S. Momani , Non-perturbative analytical solutions of the space- and time-fractional Burgers equations, Chaos Solitons Fractals 28(4) (2006) 930–937. Crossref, Web of Science, Google Scholar 31. Q.

In this paper, we consider the following initial-boundary value problem ...