2 papers
math.AP2026
Well-posedness for a class of hyperbolic systems and shock stability for the viscous approximation
Rahul Barthwal, Lilu Sahu
We establish the global well-posedness of weak solutions to the Cauchy problem for a broad class of multi-dimensional Keyfitz-Kranzer type systems with homogeneous flux…
math.AP2026
Nonlinear stability of large amplitude viscous shock wave for compressible magnetohydrodynamics flows
Lilu Sahu, T Raja Sekhar
In this article, we establish the nonlinear time-asymptotic stability of viscous shock wave with arbitrary large amplitude to the Cauchy problem for the compressible magnetohydrody…