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A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions
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This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds forwhich the equation admits a wavefront connecting its stable and unstable equilibrium states is characterized. There is a minimal wave speed. For this wave speed there is a unique wavefront which can be found explicitly. It displays a sharp propagation front. For all greater wave speeds there is a unique wavefront which does not possess this property. For such waves, the asymptotic behaviour as the equilibrium states are approached is determined. © 2005 IOP Publishing Ltd.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" > Gilding, B H </span> <span class="author-type"> </span> ; <span class="author-name" mtid="10006591"> <a href="/gui2/?type=authors&mode=browse&sel=10006591" target="_blank">Kersner, R</a> </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;1756234" mtid="1756234" target="_blank">A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions</a></div> <div class="pub-info"> <span class="journal-title">JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL</span> <span class="journal-volume">38</span> : <span class="journal-issue">15</span> <span class="page"> pp. 3367-3379. , 13 p. </span> <span class="year">(2005)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1088/0305-4470/38/15/009" target="_blank" href="https://doi.org/10.1088/0305-4470/38/15/009"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000228885000012" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000228885000012"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="24144480870" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24144480870"> Scopus </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Közlemény:1756234 </span> <span class="status-holder"><span class="status-data status-VALIDATED"> Egyeztetett </span></span> <span class="pub-core">Forrás Idéző </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 39</span> | Független: 38 | Függő: 1 | Nem jelölt: 0 | WoS jelölt: 38 | Scopus jelölt: 27 | WoS/Scopus jelölt: 39 | DOI jelölt: 37 </div> </div> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" >Gilding B H </span> ; <span class="author-name" mtid="10006591"><a href="/gui2/?type=authors&mode=browse&sel=10006591" target="_blank">Kersner R (<span class="authorship-author-name">Kersner Róbert</span> <span class="authorAux-mtmt"> Nemlineáris analízis</span>) </a> </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;1756234" target="_blank">A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions</a></div> <div> <span class="journal-title">JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0305-4470">0305-4470</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1361-6447">1361-6447</a>)</span>: <span class="journal-volume">38</span> <span class="journal-issue">15</span> <span class="page"> pp 3367-3379 </span> <span class="year">(2005)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1088/0305-4470/38/15/009" target="_blank" href="https://doi.org/10.1088/0305-4470/38/15/009"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000228885000012" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000228885000012"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="24144480870" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24144480870"> Scopus </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 39</span> | Független: 38 | Függő: 1 | Nem jelölt: 0 | WoS jelölt: 38 | Scopus jelölt: 27 | WoS/Scopus jelölt: 39 | DOI jelölt: 37 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;1756234&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 4 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 1756234</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> <span class="oldId">Régi azonosító: 1756234</span> | Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">Scopus</span> </div> <div class="lastModified">Utolsó módosítás: 2020.12.17. 21:07 Szuper Admin (admin) </div> </div></div>