Photo from wikipedia
In this article, we study the delta shock wave for zero-pressure gasdynamics system with energy conservation laws in the frame of $$\alpha $$ -solutions defined in the setting of distributional… Click to show full abstract
In this article, we study the delta shock wave for zero-pressure gasdynamics system with energy conservation laws in the frame of $$\alpha $$ -solutions defined in the setting of distributional products. By reformulating the system, we construct within a convenient space of distributions, all solutions which include discontinuous solutions and Dirac delta measures. We also establish the generalized Rankine–Hugoniot jump conditions for delta shock waves. The $$\alpha $$ -solutions which we constructed coincide with the solution obtained through different methods.
Journal Title: Ricerche Di Matematica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!