3 papers
math.AP2017
On the convergence of quasilinear viscous approximations with BV initial data
Ramesh Mondal, S. Sivaji Ganesh
We show that the almost everywhere limit of quasilinear viscous approximations is the unique entropy solution (in the sense of {\it Bardos-Leroux-Nedelec}) of the corresponding sca…
math.AP2017
On the Convergence of Quasilinear Viscous Approximations Using Compensated Compactness
Ramesh Mondal, S. Sivaji Ganesh
Method of compensated compactness is used to show that the almost everywhere limit of quasilinear viscous approximations is the unique entropy solution (in the sense of {\it Bardos…
math.AP2016
Quasilinear viscous approximations to scalar conservation laws
Ramesh Mondal, S. Sivaji Ganesh, S. Baskar
We prove the convergence of quasilinear parabolic viscous approximations to the entropy solution (in the sense of Bardos-Leroux-Nedelec) of a scalar conservation law, considered on…