IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v332y2018icp160-166.html
   My bibliography  Save this article

Two-step shock waves propagation for isothermal Euler equations

Author

Listed:
  • Porubov, A.V.
  • Bondarenkov, R.S.
  • Bouche, D.
  • Fradkov, A.L.

Abstract

The feedback control algorithm is applied to provide stable propagation of a two-step shock waves for nonlinear isothermal Euler equations despite the desired profile and velocity of the waves do not correspond to an analytical solution of the equations. Two cases are considered: transition to the two-step shock wave solution form the usual one-step wave and generation of a wave with a two-step front from an initially undisturbed velocity field. In both cases arising of two-step shock waves is obtained and an influence of the control algorithm coefficients on the shape of the waves is established.

Suggested Citation

  • Porubov, A.V. & Bondarenkov, R.S. & Bouche, D. & Fradkov, A.L., 2018. "Two-step shock waves propagation for isothermal Euler equations," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 160-166.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:160-166
    DOI: 10.1016/j.amc.2018.03.055
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318302285
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.03.055?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yuan, Xinpeng & Ning, Jianguo & Ma, Tianbao & Wang, Cheng, 2016. "Stability of Newton TVD Runge–Kutta scheme for one-dimensional Euler equations with adaptive mesh," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 1-16.
    2. Porubov, A.V. & Fradkov, A.L. & Andrievsky, B.R., 2015. "Feedback control for some solutions of the sine-Gordon equation," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 17-22.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chukwuma Ogbonnaya & Chamil Abeykoon & Adel Nasser & Ali Turan, 2021. "A Computational Approach to Solve a System of Transcendental Equations with Multi-Functions and Multi-Variables," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
    2. Yuan, Xinpeng & Wang, Fang & Xue, Yakui & Liu, Maoxing, 2018. "Global stability of an SIR model with differential infectivity on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 443-456.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:160-166. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.