Fluid dynamics remains a cornerstone of applied mathematics and engineering, exploring the motion of fluids and the forces acting upon them. Central to this field is the concept of weak ...

Compressible fluid dynamics investigates the behaviour of fluids when variations in density cannot be neglected, a scenario frequently encountered in high-speed aerodynamics and astrophysical ...

Transactions of the American Mathematical Society, Vol. 348, No. 1 (Jan., 1996), pp. 51-76 (26 pages) A framework for studying initial-boundary value problems for systems of conservation laws, in what ...

The Riemann problem for a two-dimensional hyperbolic system of pressureless gas dynamics equations is considered here. Riemann solutions are constructed for any piecewise-constant initial data having ...