Zobrazeno 1 - 10 of 40 pro vyhledávání: '"MSC: 35L05"'
1
Microlocal partition of energy for linear wave or Schrödinger equations
Autor: Delort, Jean-Marc
Publikováno v: Tunisian Journal of Mathematics. 4:329-385
We prove a microlocal partition of energy for solutions to linear half-wave or Schrödinger equations in any space dimension. This extends well-known (local) results valid for the wave equation outside the wave cone, and allows us in particular, in t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f2d1a50a82303e14c7f122c4704bbf9
https://doi.org/10.2140/tunis.2022.4.329
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2
One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates
Autor: Yacine Chitour, Swann Marx, Guilherme Mazanti
Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.84. ⟨10.1051/cocv/2021067⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.84. ⟨10.1051/cocv/2021067⟩
This paper is concerned with the analysis of a one dimensional wave equation ztt − zxx = 0 on [0, 1] with a Dirichlet condition at x = 0 and a damping acting at x = 1 which takes the form (zt(t, 1), −zx(t, 1)) ∈ Σ for every t ≥ 0, where Σ i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c62520718c2b65e1d98e9ac356fc81c1
https://hal.archives-ouvertes.fr/hal-02463413v3/file/nonlinear-boundary-wave.pdf
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3
Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains
Autor: Christophe Desceliers, Florent Pled
Publikováno v: Archives of Computational Methods in Engineering
Archives of Computational Methods in Engineering, Springer Verlag, 2021, ⟨10.1007/s11831-021-09581-y⟩
Archives of Computational Methods in Engineering, Springer Verlag, 2022, ⟨10.1007/s11831-021-09581-y⟩
International audience; This review article revisits and outlines the perfectly matched layer (PML) method and its various formulations developed over the past 25 years for the numerical modeling and simulation of wave propagation in unbounded media.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab4dfd74e3b010424ab4ef865c3a076
https://hal-upec-upem.archives-ouvertes.fr/hal-03196974/file/article_HAL.pdf
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4
Stability for the multifrequency inverse medium problem
Autor: Faouzi Triki, Gang Bao
Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2020, 269, pp.7106-7128. ⟨10.1016/j.jde.2020.05.021⟩
Journal of Differential Equations, 2020, 269 (9), pp.7106-7128. ⟨10.1016/j.jde.2020.05.021⟩
International audience; The solution of a multi-frequency 1d inverse medium problem consists of recovering the refractive index of a medium from measurements of the scattered waves for multiple frequencies. In this paper, rigorous stability estimates
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b3c815c7ac5e5d30c82664005e9467d
http://arxiv.org/abs/2002.09242
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5
Long time dynamics for damped Klein-Gordon equations
Autor: Geneviève Raugel, Wilhelm Schlag, Nicolas Burq
Publikováno v: Annales scientifiques de l'École normale supérieure. 50:1447-1498
For general nonlinear Klein-Gordon equations with dissipation we show that any finite energy radial solution either blows up in finite time or asymptotically approaches a stationary solution in $H^1\times L^2$. In particular, any global solution is b
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb02587b3743a9134129700d4be8febd
https://doi.org/10.24033/asens.2349
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6
EXACT OBSERVABILITY OF A 1D WAVE ON A NON-CYLINDRICAL DOMAIN
Autor: Haak, Bernhard, Hoang, Duc-Trung
Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2019, 57 (1), pp.570. ⟨10.1137/17M112960X⟩
International audience; We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for sufficiently regular boundary functions. We al
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d7c22763524e43fa6020f36cd97a255c
http://hdl.handle.net/20.500.12278/113337
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7
A Semi-classical calculus of correlations
Autor: Yves Colin de Verdière
Publikováno v: Comptes Rendus Geoscience. 343:496-501
The method of passive imaging in seismology has been developped recently in order to image the earth crust from recordings of the seismic noise. This method is founded on the computation of correlations of the seismic noise. In this paper, we give an
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29af7be9ca06f9d6ef15630485a80fa2
https://doi.org/10.1016/j.crte.2011.03.002
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10
Sophie, an FDTD code on the way to multicore, getting rid of the memory bandwidth bottleneck better using cache
Autor: Cessenat, Olivier
21 pages; FDTD codes, such as Sophie developed at CEA/DAM, no longer take advantage of the processor's increased computing power, especially recently with the raising multicore technology. This is rooted in the fact that low order numerical schemes n
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3515::38d1c3c101756ad2773d3f17d10aad56
https://hal.science/hal-00778172/document
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