3 papers
math.AP2025
Initial boundary value problem for a system derived from Eulerian droplet model for air particle flow
Kayyunnapara Divya Joseph
In this work, we study the initial boundary value problem for a non-strictly hyperbolic system of equations in the quarter plane which is derived from Eulerian…
math.AP2025
Vanishing viscosity solution to a 2 x 2 system of conservation laws with linear damping
Kayyunnapara Divya Joseph
Systems of the first order partial differential equations with singular solutions appear in many multiphysics problems and the weak formulation of solutions involve in many cases p…
math.AP2025
On the Initial Value Problem for Hyperbolic Systems with Discontinuous Coefficients
Kayyunnapara Divya Joseph
Hyperbolic systems of the first and higher-order partial differential equations appear in many multiphysics problems. We will be dealing with a wave propagation problem in a piece-…