On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake

In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorin...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-02
Main Authors: Fernández, Francisco J, Álvarez-Vázquez, Lino J, Martínez, Aurea
Format: Article
Language:English
Subjects:
Boundary conditions
Computational fluid dynamics
Dirichlet problem
Eutrophication
Smoothness
Uniqueness
Water circulation
Well posed problems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Fernández, Francisco J
Álvarez-Vázquez, Lino J
Martínez, Aurea
description In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorinsky model of turbulence, and presenting a suitable nonhomogeneous Dirichlet boundary condition. For the analytical study of the problem, we prove several theoretical results related to existence, uniqueness and smoothness for the solution of this recirculation model.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2175711296</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2175711296</sourcerecordid><originalsourceid>FETCH-proquest_journals_21757112963</originalsourceid><addsrcrecordid>eNqNjc0KwjAQhIMgKNp3WPAstKm1ehbFmxfvJaZb3Bo3mh-0b28EH8DTDMzHNyMxlWVZLDcrKSci877P81yua1lV5VSEEwO-yQdkjaC4hcj0jMjoPdgOvDUxkGXorAMF16F1th1Y3UnDw9mLwTs4NCpgC8HCK5XEuUAdaVIGNDkd0_xVECeDUTeci3GnjMfslzOxOOzPu-MyGdO3D01vo-M0NbKoq7oo5HZd_kd9AIQbTNo</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2175711296</pqid></control><display><type>article</type><title>On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake</title><source>Publicly Available Content Database</source><creator>Fernández, Francisco J ; Álvarez-Vázquez, Lino J ; Martínez, Aurea</creator><creatorcontrib>Fernández, Francisco J ; Álvarez-Vázquez, Lino J ; Martínez, Aurea</creatorcontrib><description>In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorinsky model of turbulence, and presenting a suitable nonhomogeneous Dirichlet boundary condition. For the analytical study of the problem, we prove several theoretical results related to existence, uniqueness and smoothness for the solution of this recirculation model.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Boundary conditions ; Computational fluid dynamics ; Dirichlet problem ; Eutrophication ; Smoothness ; Uniqueness ; Water circulation ; Well posed problems</subject><ispartof>arXiv.org, 2019-02</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2175711296?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>777,781,25734,36993,44571</link.rule.ids></links><search><creatorcontrib>Fernández, Francisco J</creatorcontrib><creatorcontrib>Álvarez-Vázquez, Lino J</creatorcontrib><creatorcontrib>Martínez, Aurea</creatorcontrib><title>On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake</title><title>arXiv.org</title><description>In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorinsky model of turbulence, and presenting a suitable nonhomogeneous Dirichlet boundary condition. For the analytical study of the problem, we prove several theoretical results related to existence, uniqueness and smoothness for the solution of this recirculation model.</description><subject>Boundary conditions</subject><subject>Computational fluid dynamics</subject><subject>Dirichlet problem</subject><subject>Eutrophication</subject><subject>Smoothness</subject><subject>Uniqueness</subject><subject>Water circulation</subject><subject>Well posed problems</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNjc0KwjAQhIMgKNp3WPAstKm1ehbFmxfvJaZb3Bo3mh-0b28EH8DTDMzHNyMxlWVZLDcrKSci877P81yua1lV5VSEEwO-yQdkjaC4hcj0jMjoPdgOvDUxkGXorAMF16F1th1Y3UnDw9mLwTs4NCpgC8HCK5XEuUAdaVIGNDkd0_xVECeDUTeci3GnjMfslzOxOOzPu-MyGdO3D01vo-M0NbKoq7oo5HZd_kd9AIQbTNo</recordid><startdate>20190201</startdate><enddate>20190201</enddate><creator>Fernández, Francisco J</creator><creator>Álvarez-Vázquez, Lino J</creator><creator>Martínez, Aurea</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20190201</creationdate><title>On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake</title><author>Fernández, Francisco J ; Álvarez-Vázquez, Lino J ; Martínez, Aurea</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_21757112963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Boundary conditions</topic><topic>Computational fluid dynamics</topic><topic>Dirichlet problem</topic><topic>Eutrophication</topic><topic>Smoothness</topic><topic>Uniqueness</topic><topic>Water circulation</topic><topic>Well posed problems</topic><toplevel>online_resources</toplevel><creatorcontrib>Fernández, Francisco J</creatorcontrib><creatorcontrib>Álvarez-Vázquez, Lino J</creatorcontrib><creatorcontrib>Martínez, Aurea</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fernández, Francisco J</au><au>Álvarez-Vázquez, Lino J</au><au>Martínez, Aurea</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake</atitle><jtitle>arXiv.org</jtitle><date>2019-02-01</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorinsky model of turbulence, and presenting a suitable nonhomogeneous Dirichlet boundary condition. For the analytical study of the problem, we prove several theoretical results related to existence, uniqueness and smoothness for the solution of this recirculation model.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2019-02
issn 2331-8422
language eng
recordid cdi_proquest_journals_2175711296
source Publicly Available Content Database
subjects Boundary conditions
Computational fluid dynamics
Dirichlet problem
Eutrophication
Smoothness
Uniqueness
Water circulation
Well posed problems
title On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T19%3A37%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=On%20existence%20and%20uniqueness%20of%20solution%20for%20a%20hydrodynamic%20problem%20related%20to%20water%20artificial%20circulation%20in%20a%20lake&rft.jtitle=arXiv.org&rft.au=Fern%C3%A1ndez,%20Francisco%20J&rft.date=2019-02-01&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2175711296%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_21757112963%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2175711296&rft_id=info:pmid/&rfr_iscdi=true