Global Solutions for a Simplified Shallow Elastic Fluids Model
Global Solutions for a Simplified Shallow Elastic Fluids Model
The Cauchy problem for a simplified shallow elastic fluids model, one<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>3</mml:mn><mml:mo>×</mml:mo><mml:mn>3</mml:mn></mml:math>system of Temple’s type, is studied and a global weak solution is obtained by using the compensated compactness theorem coupled with the total variation estimates on the first and third Riemann invariants, where the second Riemann invariant is …