In this paper we consider hyperbolic systems of linear, homogeneous, first order partial differential equations with variable coefficients. We will say that the Cauchy initial value problem for such a ...

Hyperbolic balance laws constitute a class of partial differential equations that encapsulate the conservation of physical quantities while explicitly accommodating source terms. These equations are ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...