Year: 2026
Type: preprint
Abstract: We consider the Kolchin-generic complete $1$-type of the inviscid Burgers equation $Dx=x\partial x$ in a differentially closed field of characteristic zero with two commuting derivations. We prove that this type has Lascar rank $1$ and Morley rank $ω$.
Source: arXiv (Cornell University)
Author: Kowalski, Piotr
Institution: University of Wrocław
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213506713