7 papers
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…
A hyperbolic model for two-layer thin film flow with a perfectly soluble anti-surfactant
Rahul Barthwal, Christian Rohde
We consider the motion of a two-layer thin film that consists of two immiscible viscous fluids and is endowed with an anti-surfactant solute. The presence of such solute particles…
Global Existence for a Class of Keyfitz--Kranzer Systems with Application to Thin-Film Flows
Rahul Barthwal, Philipp Ãffner, 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…
On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations
Rahul Barthwal, Firas Dhaouadi, Christian Rohde
We introduce novel approximate systems for dispersive and diffusive-dispersive equations with nonlinear fluxes. For purely dispersive equations, we construct a first-order, strictl…
Existence and stability of the Riemann solutions for a non-symmetric Keyfitz--Kranzer type model
Rahul Barthwal, Christian Rohde, Anupam Sen
In this article, we develop a new hyperbolic model governing the first-order dynamics of a thin film flow under the influence of gravity and solute transport. The obtained system t…