[HTML][HTML] Application of Lie groups to compressible model of two-phase flows

B Bira, TR Sekhar, D Zeidan - Computers & Mathematics with Applications, 2016 - Elsevier
This paper presents some exact solutions for the drift-flux model of two-phase flows using
Lie group analysis. The analysis involves an isentropic no-slip conservation of mass for …

[HTML][HTML] Collision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamics

B Bira, TR Sekhar, GPR Sekhar - Computers & Mathematics with …, 2018 - Elsevier
In this paper, we consider a quasilinear hyperbolic system of partial differential equations
(PDEs) governing unsteady planar or radially symmetric motion of an inviscid, perfectly …

A mathematical approach to chemical equilibrium theory for gaseous systems IV: a mathematical clarification of Le Chatelier's principle

Y Liu, Y Liu, MGB Drew - Journal of Mathematical Chemistry, 2015 - Springer
Chemical equilibrium is usually discussed via a thermodynamic treatment but this does not
automatically provide enough mathematical tools to be successful. A complementary …

Principal Algebra, Invariant Solutions and Representations for Optimal Systems of the Burgers–Huxley Equation

Y Acevedo, OML Duque, DAG Hernández… - International Journal of …, 2024 - Springer
This manuscript is committed to the investigation of search reduction methodologies,
identification and analysis of invariant solutions, and formulation of algebraic …

Blast waves propagation in magnetogasdynamics: power series method

M Devi, R Arora, D Singh - Zeitschrift für Naturforschung A, 2020 - degruyter.com
Blast waves are produced when there is a sudden deposition of a substantial amount of
energy into a confined region. It is an area of pressure moving supersonically outward from …

On evolution of non-linear waves in polytropic reacting gases

R Singh, J Jena - Journal of Mathematical Chemistry, 2018 - Springer
In this paper we have studied the behavior of wave motion as propagating wavelets and
their culmination into shock waves in polytropic reacting gases with same γ γ-law. An …