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Stationary Electrohydrodynamic Flows of Incompressible Polymeric Media with Strong Discontinuity

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We study the motion of an incompressible polymeric fluid with volume charge and construct stationary solutions of the electrohydrodynamical equations.

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References

  1. A. M. Blokhin and A. S. Rudometova, “Stationary solutions of the equations for nonisothermal electroconvection of a weakly conducting incompressible polymeric liquid,” J. Appl. Ind. Math. 9, No. 2, 147–156 (2015).

  2. Yu. A. Altukhov, A. S. Gusev, and G. V. Pyshnograi, Introduction to Mesoscopic Theory of Flowability of Polymeric Systems [in Russian], AltGPA, Barnaul (2012).

  3. A. N. Mordvinov and B. L. Smorodin, “Electroconvection under injection from cathode and heating from above,” JETP 114, No. 5, 870–877 (2012).

  4. A. V. Taraut and B. L. Smorodin, “Electroconvection on in the presence of autonomous unipolar injection and residual conductivity,” JETP 115, No. 2, 361–369 (2012).

  5. B. L. Smorodin and A. V. Taraut, “Dynamics of electroconvective wave flows in a modulated electric field,” JETP 118, No. 1, 158–165 (2014).

  6. A. I. Zhakin, “Electrohydrodynamics,” Phys. Usp. 55, 465–488 (2012).

    Article  Google Scholar 

  7. A. I. Zhakin, “Electrohydrodynamics of charged surfaces,” Phys. Usp 56, 141–163 (2013).

    Article  Google Scholar 

  8. L. I. Sedov, Mechanics of Continuous Media, World Scientific, Singapore (1997).

  9. N. V. Bambaeva and A. M. Blokhin, “Stationary solutions of equations of incompressible visco-elastic polymer liquid,” Comput. Math. Math. Phys. 54, No. 5, 874–899 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  10. L. V. Ovsyannikov, Lectures on Principles of Gas Dynamics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  11. A. M. Blokhin, “Strong discontinuities for the 2-D MEP hydrodynamical model of charge transport in semiconductors,” Q. Appl. Math. 66, No. 2, 359–377 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  12. V. V. Gogosov and V. A. Polyansky, “Electrohydrodynamics: Problems and applications, basic equations, discontinuous solutions” [in Russian], Itogi Nauki Tekh., Ser. Mekh. Zhidk. Gaz 10, 80 (1976).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk, 630090, Russia

    A. M. Blokhin & R. E. Semenko

  2. Novosibirsk State University, 1, Pirogova St., Novosibirsk, 630090, Russia

    A. M. Blokhin & R. E. Semenko

Authors
  1. A. M. Blokhin
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  2. R. E. Semenko
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Correspondence to A. M. Blokhin.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 17, No. 2, 2017, pp. 3-12.

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Blokhin, A.M., Semenko, R.E. Stationary Electrohydrodynamic Flows of Incompressible Polymeric Media with Strong Discontinuity. J Math Sci 231, 143–152 (2018). https://doi.org/10.1007/s10958-018-3811-3

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  • DOI: https://doi.org/10.1007/s10958-018-3811-3

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