Standard

Two-step shock waves propagation for isothermal Euler equations. / Porubov, A. V.; Bondarenkov, R. S.; Bouche, D.; Fradkov, A. L.

In: Applied Mathematics and Computation, Vol. 332, 01.09.2018, p. 160-166.

Research output: Contribution to journal › Article › peer-review

Harvard

Porubov, AV, Bondarenkov, RS, Bouche, D & Fradkov, AL 2018, 'Two-step shock waves propagation for isothermal Euler equations', Applied Mathematics and Computation, vol. 332, pp. 160-166. https://doi.org/10.1016/j.amc.2018.03.055

APA

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, 332, 160-166. https://doi.org/10.1016/j.amc.2018.03.055

Vancouver

Porubov AV, Bondarenkov RS, Bouche D, Fradkov AL. Two-step shock waves propagation for isothermal Euler equations. Applied Mathematics and Computation. 2018 Sep 1;332:160-166. https://doi.org/10.1016/j.amc.2018.03.055

Author

Porubov, A. V. ; Bondarenkov, R. S. ; Bouche, D. ; Fradkov, A. L. / Two-step shock waves propagation for isothermal Euler equations. In: Applied Mathematics and Computation. 2018 ; Vol. 332. pp. 160-166.

BibTeX

@article{fdcf1cfa8125466b8f3cd945158ade26,
title = "Two-step shock waves propagation for isothermal Euler equations",
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. (C) 2018 Elsevier Inc. All rights reserved.",
keywords = "Nonlinear wave, Coupled nonlinear equations, Control methods, NONLINEAR DIFFERENTIAL-EQUATIONS, FEEDBACK-CONTROL, SYSTEMS",
author = "Porubov, {A. V.} and Bondarenkov, {R. S.} and D. Bouche and Fradkov, {A. L.}",
year = "2018",
month = sep,
day = "1",
doi = "10.1016/j.amc.2018.03.055",
language = "Английский",
volume = "332",
pages = "160--166",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Two-step shock waves propagation for isothermal Euler equations

AU - Porubov, A. V.

AU - Bondarenkov, R. S.

AU - Bouche, D.

AU - Fradkov, A. L.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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. (C) 2018 Elsevier Inc. All rights reserved.

AB - 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. (C) 2018 Elsevier Inc. All rights reserved.

KW - Nonlinear wave

KW - Coupled nonlinear equations

KW - Control methods

KW - NONLINEAR DIFFERENTIAL-EQUATIONS

KW - FEEDBACK-CONTROL

KW - SYSTEMS

U2 - 10.1016/j.amc.2018.03.055

DO - 10.1016/j.amc.2018.03.055

M3 - статья

VL - 332

SP - 160

EP - 166

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 37254975