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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
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…
math.AP2026
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…