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Pregled bibliografske jedinice broj: 91742

Propagation of oscillations in semilinear hyperbolic partial differential equations


Antonić, Nenad; Lazar, Martin
Propagation of oscillations in semilinear hyperbolic partial differential equations // First SIAM-EMS Conference, Applied mathematics in our changing world / Jeltsch R., Strang G., Deuflhard P. (ur.).
Berlin: Konrad-Zuse-Zentrum fur Informationstechnick, 2001. (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Propagation of oscillations in semilinear hyperbolic partial differential equations
(Propagation of oscillations in semilinear hyperbolic partial differential equation)

Autori
Antonić, Nenad ; Lazar, Martin

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
First SIAM-EMS Conference, Applied mathematics in our changing world / Jeltsch R., Strang G., Deuflhard P. - Berlin : Konrad-Zuse-Zentrum fur Informationstechnick, 2001

Skup
First SIAM-EMS Conference, Applied mathematics in our changing world

Mjesto i datum
Berlin, Njemačka, 02.09.2001. - 06.09.2001

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
H-measures; propagation of oscillations; hyperbolic PDE's

Sažetak
Using our earlier computation of the transport equation satisfied by the H-measure associated to a sequence of oscillating solutions of a symmetric hyperbolic system, we express the limit microlocal energy density as a function of the H-measure associated to the initial data by solving that transport equation. We isolate a number of linearisable cases, where the nonlinearity term does not add new oscillations to the limit.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037015

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Nenad Antonić (autor)

Avatar Url Martin Lazar (autor)


Citiraj ovu publikaciju:

Antonić, Nenad; Lazar, Martin
Propagation of oscillations in semilinear hyperbolic partial differential equations // First SIAM-EMS Conference, Applied mathematics in our changing world / Jeltsch R., Strang G., Deuflhard P. (ur.).
Berlin: Konrad-Zuse-Zentrum fur Informationstechnick, 2001. (predavanje, međunarodna recenzija, sažetak, znanstveni)
Antonić, N. & Lazar, M. (2001) Propagation of oscillations in semilinear hyperbolic partial differential equations. U: Jeltsch R., Strang G., Deuflhard P. (ur.)First SIAM-EMS Conference, Applied mathematics in our changing world.
@article{article, author = {Antoni\'{c}, Nenad and Lazar, Martin}, year = {2001}, keywords = {H-measures, propagation of oscillations, hyperbolic PDE and \#39, s}, title = {Propagation of oscillations in semilinear hyperbolic partial differential equations}, keyword = {H-measures, propagation of oscillations, hyperbolic PDE and \#39, s}, publisher = {Konrad-Zuse-Zentrum fur Informationstechnick}, publisherplace = {Berlin, Njema\v{c}ka} }
@article{article, author = {Antoni\'{c}, Nenad and Lazar, Martin}, year = {2001}, keywords = {H-measures, propagation of oscillations, hyperbolic PDE and \#39, s}, title = {Propagation of oscillations in semilinear hyperbolic partial differential equation}, keyword = {H-measures, propagation of oscillations, hyperbolic PDE and \#39, s}, publisher = {Konrad-Zuse-Zentrum fur Informationstechnick}, publisherplace = {Berlin, Njema\v{c}ka} }




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