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Original scientific paper

The velocity averaging for a heterogeneous heat type equation

Martin Lazar ; University of Dubrovnik, Dubrovnik, Croatia
Darko Mitrović ; Faculty of Mathematics, University of Montenegro, Podgorica, Montenegro

Fulltext: english, pdf (266 KB) pages 271-282 downloads: 378* cite
APA 6th Edition
Lazar, M. & Mitrović, D. (2011). The velocity averaging for a heterogeneous heat type equation. Mathematical Communications, 16 (1), 271-282. Retrieved from https://hrcak.srce.hr/68643
MLA 8th Edition
Lazar, Martin and Darko Mitrović. "The velocity averaging for a heterogeneous heat type equation." Mathematical Communications, vol. 16, no. 1, 2011, pp. 271-282. https://hrcak.srce.hr/68643. Accessed 2 Aug. 2021.
Chicago 17th Edition
Lazar, Martin and Darko Mitrović. "The velocity averaging for a heterogeneous heat type equation." Mathematical Communications 16, no. 1 (2011): 271-282. https://hrcak.srce.hr/68643
Harvard
Lazar, M., and Mitrović, D. (2011). 'The velocity averaging for a heterogeneous heat type equation', Mathematical Communications, 16(1), pp. 271-282. Available at: https://hrcak.srce.hr/68643 (Accessed 02 August 2021)
Vancouver
Lazar M, Mitrović D. The velocity averaging for a heterogeneous heat type equation. Mathematical Communications [Internet]. 2011 [cited 2021 August 02];16(1):271-282. Available from: https://hrcak.srce.hr/68643
IEEE
M. Lazar and D. Mitrović, "The velocity averaging for a heterogeneous heat type equation", Mathematical Communications, vol.16, no. 1, pp. 271-282, 2011. [Online]. Available: https://hrcak.srce.hr/68643. [Accessed: 02 August 2021]

Abstracts
We prove that the sequence of averaged quantities
$\int_{\R^m}u_n(t,\mx,\my) v(\my)d\my$ is strongly precompact in
$\Ldl\Rjpd$, where $v\in \Ldc{\R^m}$, and $u_n\in
\Ld{\Rjpd\times \R^m}$ are solutions to strictly
parabolic transport equations with flux explicitly depending on
space and time. In order to obtain the result, we use a recently introduced parabolic variant of H-measures.

Keywords
velocity averaging; parabolic H-measures; heat type equation; heterogeneous coefficients

Hrčak ID: 68643

URI
https://hrcak.srce.hr/68643

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