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Nonlinear Wave Propagation Through a Radiating van der Waals Fluid with Variable Density

  • Madhumita GangopadhyayEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We examine a quasilinear system of PDEs governing the one-dimensional unsteady flow of a radiating van der Waals fluid in radial, cylindrical and spherical geometry. The local value of the fundamental derivative (Γ) associated with the medium is of order O(𝜖) and changes sign about the reference state (Γ = 0); the undisturbed medium is assumed to be spatially variable. An asymptotic method is employed to obtain a transport equation for the system of Navier Stokes equations; the impact of radiation and the van der Waals parameters on the evolution of the initial pulse is studied.

Keywords

Hyperbolic system Mixed nonlinearity van der Waals fluid Radiation 

Notes

Acknowledgements

The author wishes to sincerely thank the University Grants Commission, India, for its support through a Major Research Project No. F/788/2012/SR.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MumbaiMumbaiIndia

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