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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…