Abstract:
The stability of shock waves is discussed for a hydrodynamic model of motion of a continuous medium with a space electrical charge. The correctness of a mixed problem obtained by linearization of the hydrodynamic model and the equations of a strong discontinuity for electrohydrodynamic shock waves is proved. As is known, this indicates stability of this type of strong discontinuity in the model of a continuous medium considered.
Citation:
A. M. Blokhin, Yu. L. Trakhinin, I. Z. Merazhov, “On the stability of shock waves in a continuous medium with a space charge”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998), 29–39; J. Appl. Mech. Tech. Phys., 39:2 (1998), 184–193
\Bibitem{BloTraMer98}
\by A.~M.~Blokhin, Yu.~L.~Trakhinin, I.~Z.~Merazhov
\paper On the stability of shock waves in a continuous medium with a space charge
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 2
\pages 29--39
\mathnet{http://mi.mathnet.ru/pmtf3242}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 2
\pages 184--193
\crossref{https://doi.org/10.1007/BF02468083}
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https://www.mathnet.ru/eng/pmtf3242
https://www.mathnet.ru/eng/pmtf/v39/i2/p29
This publication is cited in the following 3 articles:
Jeffrey Humpherys, Gregory Lyng, Kevin Zumbrun, “Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks”, Arch Rational Mech Anal, 226:3 (2017), 923
V. I. Bukreev, “Decay of an initial discontinuity of water depth in a finite-length channel: Experiment”, J. Appl. Mech. Tech. Phys., 52:5 (2011), 689–697
Alexander Blokhin, Yuri Trakhinin, Handbook of Mathematical Fluid Dynamics, 1, 2002, 545
Citation in format AMSBIB
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