5 papers · 1 filter
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…
A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs
Rahul Barthwal, Rahuldev Ghorai
We introduce a novel structure-preserving numerical method for a first-order hyperbolic approximation system, which approximates the solutions of general fourth-order partial diffe…
Energy consistent hyperbolic approximation for a class of fourth-order partial differential equations
Rahul Barthwal, Firas Dhaouadi, Christian Rohde
In this article, we propose a novel hyperbolic relaxation system for a general class of fourth-order nonlinear partial differential equations arising in the modelling of thin film…
Riemann invariant-based alternative WENO scheme for a two-layer thin film model
Biswarup Biswas, Rahul Barthwal, Rakesh Kumar
In this article, we develop a multi-dimensional two-layer thin film model extending the thin film model proposed in \cite{barthwal2025hyperbolic}. The model considered in \cite{bar…
Global Existence for a Class of Keyfitz--Kranzer Systems with Application to Thin-Film Flows
Rahul Barthwal, Philipp Öffner, Christian Rohde
We prove the existence of global weak entropy solutions for a class of non-symmetric Keyfitz-Kranzer type systems that includes lubrication models for thin-film flow. We identify a…