Standard

Motion of a Rough Disc in Newtonian Aerodynamics. / Kryzhevich, S.

Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers. Springer Nature, 2015. p. 3-19.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Kryzhevich, S 2015, Motion of a Rough Disc in Newtonian Aerodynamics. in Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers. Springer Nature, pp. 3-19. https://doi.org/10.1007/978-3-319-20352-2_1

APA

Kryzhevich, S. (2015). Motion of a Rough Disc in Newtonian Aerodynamics. In Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers (pp. 3-19). Springer Nature. https://doi.org/10.1007/978-3-319-20352-2_1

Vancouver

Kryzhevich S. Motion of a Rough Disc in Newtonian Aerodynamics. In Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers. Springer Nature. 2015. p. 3-19 https://doi.org/10.1007/978-3-319-20352-2_1

Author

Kryzhevich, S. / Motion of a Rough Disc in Newtonian Aerodynamics. Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers. Springer Nature, 2015. pp. 3-19

BibTeX

@inproceedings{92b8a3e03c974f40bc4b3076868666d1,
title = "Motion of a Rough Disc in Newtonian Aerodynamics",
abstract = "Dynamics of a rough disc in a rarefied medium is considered. We prove that any finite rectifiable curve can be approximated in the Hausdorff metric by trajectories of centers of rough discs provided that the parameters of the system are carefully chosen. To control the dynam- ics of the disc, we use the so-called inverse Magnus effect which causes deviation of the trajectory of a spinning body. We study the so-called response laws for scattering billiards e.g. relationship between the veloc- ity of incidence of a particle and that of reflection. We construct a special family of such laws that is weakly dense in the set of symmetric Borel measures. Then we find a shape of cavities that provides selected law of reflections. We write down differential equations that describe motions of rough discs. We demonstrate how a given curve can be approximated by considered trajectories.",
keywords = "Billiards · Shape optimization · Magnus effect · Rarified medium · Retroreflectors",
author = "S. Kryzhevich",
year = "2015",
doi = "10.1007/978-3-319-20352-2_1",
language = "English",
isbn = "9783319203515",
pages = "3--19",
booktitle = "Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers",
publisher = "Springer Nature",
address = "Germany",

}

RIS

TY - GEN

T1 - Motion of a Rough Disc in Newtonian Aerodynamics

AU - Kryzhevich, S.

PY - 2015

Y1 - 2015

N2 - Dynamics of a rough disc in a rarefied medium is considered. We prove that any finite rectifiable curve can be approximated in the Hausdorff metric by trajectories of centers of rough discs provided that the parameters of the system are carefully chosen. To control the dynam- ics of the disc, we use the so-called inverse Magnus effect which causes deviation of the trajectory of a spinning body. We study the so-called response laws for scattering billiards e.g. relationship between the veloc- ity of incidence of a particle and that of reflection. We construct a special family of such laws that is weakly dense in the set of symmetric Borel measures. Then we find a shape of cavities that provides selected law of reflections. We write down differential equations that describe motions of rough discs. We demonstrate how a given curve can be approximated by considered trajectories.

AB - Dynamics of a rough disc in a rarefied medium is considered. We prove that any finite rectifiable curve can be approximated in the Hausdorff metric by trajectories of centers of rough discs provided that the parameters of the system are carefully chosen. To control the dynam- ics of the disc, we use the so-called inverse Magnus effect which causes deviation of the trajectory of a spinning body. We study the so-called response laws for scattering billiards e.g. relationship between the veloc- ity of incidence of a particle and that of reflection. We construct a special family of such laws that is weakly dense in the set of symmetric Borel measures. Then we find a shape of cavities that provides selected law of reflections. We write down differential equations that describe motions of rough discs. We demonstrate how a given curve can be approximated by considered trajectories.

KW - Billiards · Shape optimization · Magnus effect · Rarified medium · Retroreflectors

U2 - 10.1007/978-3-319-20352-2_1

DO - 10.1007/978-3-319-20352-2_1

M3 - Conference contribution

SN - 9783319203515

SP - 3

EP - 19

BT - Optimization in the Natural Sciences. 30th Euro Mini-Conference, EmC-ONS 2014 Aveiro, Portugal, February 5–9, 2014 Revised Selected Papers

PB - Springer Nature

ER -

ID: 3976928