14 citations · 40 across the 21 of their papers we have counts for
23 papers
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…
On non-uniqueness for the system $\bu_t+(\bu\cdot\nabla)\bu=μΔ{\bf u}$
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 ,…
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…
1-D Isentropic Euler flows: Self-similar Vacuum Solutions
Helge Kristian Jenssen
We consider one-dimensional self-similar solutions to the isentropic Euler system when the initial data are at vacuum to the left of the origin. For the initial velocity and…
Extensions of BV compactness criteria
Helge Kristian Jenssen
Helly's selection theorem provides a criterion for compactness of sets of single-variable functions with bounded pointwise variation. Fra{ň}kov{á} has given a proper extension of H…
Radially Symmetric Non-isentropic Euler flows: continuous blowup with positive pressure
Helge Kristian Jenssen, Charis Tsikkou
Guderley's 1942 work on radial shock waves provides cases of self-similar Euler flows exhibiting blowup of primary (undifferentiated) flow variables: a converging shock wave invade…