5 papers
The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure
Thomas Allen, Ella Kim, Jonathan Nunes +2
We consider the Riemann problem for a 3x3 system of conservation laws with generalized Chaplygin pressure , , where the pressure depends on…
Dynamic Response of a Finite Circular Plate on an Elastic Half-Space Using the Truncated Lamb Kernel
Greyson Meares, Sage Meiling, Charis Tsikkou
We develop an exact operator formulation for the dynamic interaction between a finite circular elastic plate and an elastic half-space. Classical analyses, beginning with Lamb's re…
Non-isentropic cavity flow for the multi-d compressible Euler system
Helge Kristian Jenssen, Charis Tsikkou
We rigorously construct non-isentropic and self-similar multi-d Euler flows in which a central cavity (vacuum region) collapses. While isentropic flows of this type have been analy…
An Analysis of the Riemann Problem for a System of Keyfitz-Kranzer Type Balance Laws With a Time-Dependent Source Term
Josh Culver, Aubrey Ayres, Evan Halloran +3
We consider a system consisting of one conservation law and one balance law with a time-dependent source term, and provide a comprehensive analysis of Riemann solutions, including…
An Analysis of the Riemann Problem for a System of Keyfitz-Kranzer Type Conservation Laws Using Shadow Waves and Dafermos Regularization
Josh Culver, Aubrey Ayres, Evan Halloran +3
We consider a system of two conservation laws and provide a detailed description of both classical and non-classical self-similar Riemann solutions. In particular, we demonstrate t…