Diffusion model to predict coastal profile evolutions

Baramiya, Denis; Gorbenko, N. I.; Lavrentiev, Mikhail; Spigler, Renato

doi:10.1109/oceanse.2019.8867524

Cited by 2 publications

(3 citation statements)

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“…To make the prediction period shorter, in [25,26] the authors proposed to consider time dependent coefficients in the governing equation. More precisely the following model was considered (7) u…”

Section: Time-dependent Coefficientsmentioning

confidence: 99%

“…In order to predict the long-term evolution of coastal profiles, in [25,26], the authors proposed a regression model which describes the computed coefficients of the diffusion equation, D(z, t) and C(z, t), and then used the resulting model to extrapolate the coefficients in time.…”

Section: Time-dependent Coefficientsmentioning

confidence: 99%

“…Here the values of IRE for different space intervals, namely, z ∈ [0, H], z ∈ [H/10, H], and z ∈ [H/4, H]. The calibration periods are the years [1991,2000] (interval [0, 10] in the tables below), [1996,2005] (interval [5,15]), [2001,2010] (interval [10,20]), and the years [2006,2015] (interval [15,25]) are given.…”

Section: Time-dependent Coefficientsmentioning

confidence: 99%

See 2 more Smart Citations

Modelling and predicting coastal zone depth profile evolution: a survey

Baramiya,

Lavrentiev,

Spigler

2023

Communications in Applied and Industrial Mathematics

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We survey results concerning the problem of identifying depth profiles at coastal zone, which evolve in time due to natural as well as anthropic activities. This issue is relevant to control the modifications of the environment occurring near sea coastlines, but also in river's estuaries and harbors. One of the main goals is to predict the time evolution of the depth profile in the long-term (i.e., over years or decades, say), and to do this on the basis of real observed and measured data, available in several databases. Most mathematical models are formulated in terms of partial differential equations of the diffusive type, in one or two space dimensions. Consequently, from the mathematical standpoint, the aforementioned identification problem takes on the form of an inverse problem for some given parabolic equation associated with suitable initial and boundary conditions.

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Section: Time-dependent Coefficientsmentioning

confidence: 99%

Section: Time-dependent Coefficientsmentioning

confidence: 99%