<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 <italic>real</italic> observed and measured <italic>data</italic>, 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.</p>
</abstract>

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.

Modelling and predicting coastal zone depth profile evolution: a survey

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Modelling and predicting coastal zone depth profile evolution: a survey"}

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....

Modelling and predicting coastal zone depth profile evolution: a survey

Published Online: Sep 16, 2023

Page range: 50 - 61

Received: Dec 06, 2023

Accepted: Oct 07, 2023

DOI: https://doi.org/10.2478/caim-2023-0003

Keywords
COASTAL ZONE DEPTH PROFILE EVOLUTION, INVERSE PROBLEMS FOR DIFFUSION MODELS, COASTAL PROFILE’S PREDICTION

© 2023 Denis Baramiya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Modelling and predicting coastal zone depth profile evolution: a survey

Published Online: Sep 16, 2023

Page range: 50 - 61

Received: Dec 06, 2023

Accepted: Oct 07, 2023

DOI: https://doi.org/10.2478/caim-2023-0003

KeywordsCOASTAL ZONE DEPTH PROFILE EVOLUTION, INVERSE PROBLEMS FOR DIFFUSION MODELS, COASTAL PROFILE’S PREDICTION

© 2023 Denis Baramiya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
COASTAL ZONE DEPTH PROFILE EVOLUTION, INVERSE PROBLEMS FOR DIFFUSION MODELS, COASTAL PROFILE’S PREDICTION