6 papers · 1 filter
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…
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…
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-…
Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane
Kayyunnapara Divya Joseph
In this paper we study a system of equations which appear in the modelling of many physical phenomena. Initially this system appeared in description of the large scale structure fo…
Wave Interaction For A System In Elastodynamics With Initial Data Lying On The Level Set Of One Of The Riemann Invariants
Kayyunnapara Divya Joseph
This paper is concerned with the study of interaction of waves originating from the Riemann problem centred at two different points for a system of equations modelling propagation…
Riemann type initial boundary value problem for a system in elastodynamics
Kayyunnapara Divya Joseph, P. A Dinesh
This paper is a continuation of our previous paper \cite{d1} on the initial boundary value problem for a nonconservative system appearing in elastodynamics in the space time domain…