15 citations · 19 across the 11 of their papers we have counts for
10 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…
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…
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 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…
On a degenerate boundary value problem to relativistic magnetohydrodynamics with a general pressure law
Rahul Barthwal, T. Raja Sekhar
This work is concerned with establishing the existence and uniqueness of the solution to a mixed-type degenerate boundary value problem for a relativistic magnetohydrodynamics syst…
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…
Existence of solutions to gas expansion problem through a sharp corner for 2-D Euler equations with general equation of state
Rahul Barthwal, T. Raja Sekhar
In this article, we study the gas expansion problem by turning a sharp corner into vacuum for the two-dimensional pseudo-steady compressible Euler equations with a convex equation…
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…