Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids
Neelam Yadav,
Triveni P. Shukla
Abstract:We investigate the behavior of nonlinear waves in the Hall-magnetohydrodynamics model of non-ideal fluids with the van der Waals equation of state. It is shown that the Hall effect leads to the formation of a nonclassical shock wave that does not follow Oleinik's entropy condition and propagates as an undercompressive shock. The evolution of a rectangular pulse is discussed by solving a Riemann problem with initial data containing a pair of discontinuities. In particular, we provide a thorough discussion of in… Show more
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