6 papers
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…
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…
A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
Rahul Barthwal, Christian Rohde, Yue Wang
In this paper, a second-order generalized Riemann problem (GRP) solver is developed for a two-layer thin film model. Extending the first-order Godunov approach, the solver is used…
Existence and regularity of solutions of a supersonic-sonic patch arising in axisymmetric relativistic transonic flow with general equation of state
Rahul Barthwal, T. Raja Sekhar
In this article, we prove the existence and regularity of a smooth solution for a supersonic-sonic patch arising in a modified Frankl problem in the study of three-dimensional axis…
On the existence and regularity of solutions of semi-hyperbolic patches to 2-D Euler equations with van der Waals gas
Rahul Barthwal, T. Raja Sekhar
This article is concerned in establishing the existence and regularity of solution of semi-hyperbolic patch problem for two-dimensional isentropic Euler equations with van der Waal…