https://astrojames.github.io/tags/fluid-theory/Fluid TheoryHugo Blox Builder (https://hugoblox.com)en-usWed, 29 Apr 2026 00:00:00 +0000https://astrojames.github.io/media/icon_hu58f049e2f3dec21651e29209817604b1_360074_512x512_fill_lanczos_center_3.pnghttps://astrojames.github.io/tags/fluid-theory/https://astrojames.github.io/post/compressible-ns-schrodinger/Wed, 29 Apr 2026 00:00:00 +0000https://astrojames.github.io/post/compressible-ns-schrodinger/<p>Our paper, <em>Compressible Navier–Stokes Flow in Schrödinger-Type Variables</em>, is available on <a href="https://arxiv.org/abs/2604.27088">arXiv</a>.</p> <p>With Max Sokolova, Khush Negandhi, and Bart Ripperda, I derive an exact reformulation of isothermal compressible Navier–Stokes flow using Cole–Hopf-type transformations. The construction separates compressive, vortical, and density-carrying parts of the flow in two and three dimensions.</p> <p>We test the transformed equations against a direct Kelvin–Helmholtz shear-layer simulation. The comparison is described in Section IV of the <a href="https://arxiv.org/html/2604.27088v2#S4">paper</a>.</p> <p><strong>Update, September 2026:</strong> The paper is accepted in <em>Physical Review Research</em>, as noted in the current arXiv record.</p> <p><a href="https://arxiv.org/abs/2604.27088">Read the preprint</a>, <a href="https://arxiv.org/pdf/2604.27088">download the PDF</a>, or <a href="https://astrojames.github.io/publication/compressible_ns_schrodinger/">view the science highlight</a>.</p>