Results 11 to 20 of about 1,004,831 (264)
Transmission Conditions for the Helmholtz-Equation in Perforated Domains [PDF]
Vietnam Journal of Mathematics, 2016 We study the Helmholtz equation in a perforated domain . The domain Ωε. The domain Ωε is obtained from an open set Ω⊂ℝ³ by removing small obstacles of typical size ε > 0, the obstacles are located along a 2-dimensional manifold Γ0 ⊂Ω, We derive effective transmission conditions across Γ0 that characterize solutions in the limit ε→0O. We obtain that,
Dörlemann, Christina +2 more
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The principal transmission condition
Mathematics in Engineering, 2022 <abstract><p>The paper treats pseudodifferential operators $ P = \operatorname{Op}(p(\xi)) $ with homogeneous complex symbol $ p(\xi) $ of order $ 2a > 0 $, generalizing the fractional Laplacian $ (-\Delta)^a $ but lacking its symmetries, and taken to act on the halfspace ${\mathbb R}^n_+$.
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Transmission conditions obtained by homogenisation [PDF]
Nonlinear Analysis, 2018 Given a bounded open set in $\mathbb{R}^n$, $n\ge 2$, and a sequence $(K_j)$ of compact sets converging to an $(n-1)$-dimensional manifold $M$, we study the asymptotic behaviour of the solutions to some minimum problems for integral functionals on $Ω\setminus K_j$, with Neumann boundary conditions on $\partial(Ω\setminus K_j)$.
Dal Maso, Gianni +2 more
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Cumhuriyet Science Journal, 2019 In this paper, half-inverse problem is consideredfor Dirac equations with boundary and finite number of transmission conditionsdepending polynomially on the spectral parameter, if the potential is givenover the half of the considered interval and if one ...
Yalçin Güldü, Merve Arslantaş
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On the Influence of Curvature on Transmission Conditions
, 2014 We are investigating in this short note if and how the curvature of the interfaces influences the choice of transmission conditions in optimized Schwarz methods. We use two approaches: micro-local analysis, and the study of a circular model problem. We find that both approaches lead to transmission conditions which depend on the curvature, and that the
Barucq, Hélène +2 more
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Mathematics, 2020 The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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ESAIM: Control, Optimisation and Calculus of Variations, 2023 We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the rays of the optic geometry obeys the Snell’s law. We provide sufficient conditions on the geometry’ of the mediums and on the speed of propagation for the exact boundary ...
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Airborne virus transmission under different weather conditions
AIP Advances, 2022 The COVID19 infection is known to disseminate through droplets ejected by infected individuals during coughing, sneezing, speaking, and breathing. The spread of the infection and hence its menace depend on how the virus-loaded droplets evolve in space ...
Santosh K. Das +3 more
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A TRANSMISSIBLE TUMOR-LIKE CONDITION IN RABBITS [PDF]
Journal of Experimental Medicine, 1932 A tumor-like condition has been observed in a wild cottontail rabbit and has been found to be transmissible to both wild and domestic rabbits but not to guinea pigs, white rats, white mice, or chickens. The clinical picture of the experimentally produced condition and the pathological picture of the original and experimentally produced tumors have been
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Centralized air-conditioning and transmission of novel coronavirus [PDF]
Pathogens and Global Health, 2020 There has been an alarming increase in the death toll due to Coronavirus Disease 2019 (COVID-19), i.e., over 2.7 million confirmed cases and approaching 200,000 associated deaths as of 24 April 202...
Siddiqui, Ruqaiyyah, Ahmed Khan, Naveed
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