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Control of nonlinear shock waves propagation for isothermal Euler equations. / Porubov, Alexey; Bondarenkov, Roman; Bouche, Daniel; Fradkov, Alexander.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 98, No. 3, 01.03.2018, p. 448-453.

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

Harvard

Porubov, A, Bondarenkov, R, Bouche, D & Fradkov, A 2018, 'Control of nonlinear shock waves propagation for isothermal Euler equations', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 98, no. 3, pp. 448-453. https://doi.org/10.1002/zamm.201700217

APA

Porubov, A., Bondarenkov, R., Bouche, D., & Fradkov, A. (2018). Control of nonlinear shock waves propagation for isothermal Euler equations. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 98(3), 448-453. https://doi.org/10.1002/zamm.201700217

Vancouver

Porubov A, Bondarenkov R, Bouche D, Fradkov A. Control of nonlinear shock waves propagation for isothermal Euler equations. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2018 Mar 1;98(3):448-453. https://doi.org/10.1002/zamm.201700217

Author

Porubov, Alexey ; Bondarenkov, Roman ; Bouche, Daniel ; Fradkov, Alexander. / Control of nonlinear shock waves propagation for isothermal Euler equations. In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2018 ; Vol. 98, No. 3. pp. 448-453.

BibTeX

@article{838fd3b9f76e4c1aa11000ad6301c811,
title = "Control of nonlinear shock waves propagation for isothermal Euler equations",
abstract = "The feedback control algorithm is applied to provide stable propagation of the shock waves for nonlinear isothermal Euler equations even if the desired profile and velocity of the wave do not correspond to their analytical solution. Also the control algorithm helps to suppress scheme oscillations on the shock wave solutions, this is studied on an example of the Lax-Wendroff second-order scheme.",
keywords = "control methods, coupled nonlinear equations, Nonlinear wave",
author = "Alexey Porubov and Roman Bondarenkov and Daniel Bouche and Alexander Fradkov",
year = "2018",
month = mar,
day = "1",
doi = "10.1002/zamm.201700217",
language = "English",
volume = "98",
pages = "448--453",
journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley-Blackwell",
number = "3",

}

RIS

TY - JOUR

T1 - Control of nonlinear shock waves propagation for isothermal Euler equations

AU - Porubov, Alexey

AU - Bondarenkov, Roman

AU - Bouche, Daniel

AU - Fradkov, Alexander

PY - 2018/3/1

Y1 - 2018/3/1

N2 - The feedback control algorithm is applied to provide stable propagation of the shock waves for nonlinear isothermal Euler equations even if the desired profile and velocity of the wave do not correspond to their analytical solution. Also the control algorithm helps to suppress scheme oscillations on the shock wave solutions, this is studied on an example of the Lax-Wendroff second-order scheme.

AB - The feedback control algorithm is applied to provide stable propagation of the shock waves for nonlinear isothermal Euler equations even if the desired profile and velocity of the wave do not correspond to their analytical solution. Also the control algorithm helps to suppress scheme oscillations on the shock wave solutions, this is studied on an example of the Lax-Wendroff second-order scheme.

KW - control methods

KW - coupled nonlinear equations

KW - Nonlinear wave

UR - http://www.scopus.com/inward/record.url?scp=85043481201&partnerID=8YFLogxK

U2 - 10.1002/zamm.201700217

DO - 10.1002/zamm.201700217

M3 - Article

AN - SCOPUS:85043481201

VL - 98

SP - 448

EP - 453

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 3

ER -

ID: 37786813