Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material. In general, this formulation works well to describe heat ...

The applicability of Fourier’s law to heat transfer problems relies on the assumption that heat carriers have mean free paths smaller than important length scales of the temperature profile. This ...

This is a preview. Log in through your library . Abstract Standard numerical integrators suffer from an order reduction when applied to non-linear Schrödinger equations with low-regularity initial ...

An optical imaging system generally consists of an illumination source and a light detection unit. For conventional imaging techniques, a scene is illuminated by a uniform light field and detected ...

Mathematical equations offer unique windows into the world. They make sense of reality and help us see things that haven't been previously noticed. So it’s no surprise that new developments in math ...

Let (H, i, B) be an abstract Wiener space and pt be the Wiener measure on B with variance t. Let [ B ] be the complexification of B and Ea be the class of exponential type analytic functions defined ...