3 papers
math.AP2026
Cumulative Euler flows
Helge Kristian Jenssen
We consider the compressible Euler system for ideal gas flow in the absence of any forces except the internal thermodynamic pressure. In this setting, and in dimensions higher 1, i…
math.AP2025
On non-uniqueness for the system $\bu_t+(\bu\cdot\nabla)\bu=μÎ{\bf u}$
Helge Kristian Jenssen
Explicit irrotational solutions, obtained via the Cole-Hopf transform from the multi-d heat equation, give examples of non-uniqueness for the Cauchy problem in supercritical ,…
math.AP2025
Amplitude blowup in compressible Euler flows without shock formation
Helge Kristian Jenssen
Recent works have demonstrated that continuous self-similar radial Euler flows can drive primary (non-differentiated) flow variables to infinity at the center of motion. Among the…