Contact discontinuities in multi-dimensional isentropic Euler equations

Abstract

In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.

Keywords

• Isentropic Euler equations
• non-uniqueness
• Riemann problem
• admissible weak solutions
• contact discontinuity