We study stationary homogeneous solutions to the 3D Euler equation. The problem is motivated by recent exclusions of self-similar blowup for Euler and its relation to the Onsager conjecture and ...

The minimal positive solutions of the heat equation on X × (-∞, T) are determined for X a homogeneous Riemannian space. A simple proof of uniqueness for the positive Cauchy problem on a homogeneous ...

Protein detection sensitivity has historically lagged behind nucleic acid detection by 2-3 orders of magnitude due to the lack of intrinsic signal amplification. While digital methods such as Single ...

Classifying mixtures hinges on understanding how different substances interact when combined, leading to distinct types known ...