Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077994413> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2077994413 endingPage "417" @default.
- W2077994413 startingPage "403" @default.
- W2077994413 abstract "This paper deals with a Neumann boundary value problem in a d-dimensional box Td=(0,π)d(d=1,2,3) for the chemotaxis–diffusion–growth model (⋆ ){Ut=∇(Du∇U−χU∇V)+rU(1−U/K),Vt=Dv∇2V+αU−βV, which describes the movement of cells in response to the presence of a chemical signal substance. It is proved that given any general perturbation of magnitude δ, its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes, over a time period of the order ln1δ. Each initial perturbation certainly can behave drastically differently from another, which gives rise to the richness of patterns. Our results provide a mathematical characterization for the early-stage pattern formation in the Keller–Segel model (⋆)." @default.
- W2077994413 created "2016-06-24" @default.
- W2077994413 creator A5013444666 @default.
- W2077994413 creator A5078509154 @default.
- W2077994413 date "2013-09-01" @default.
- W2077994413 modified "2023-10-15" @default.
- W2077994413 title "Spatial pattern formation in the Keller–Segel model with a logistic source" @default.
- W2077994413 cites W2009457998 @default.
- W2077994413 cites W2017050829 @default.
- W2077994413 cites W2023884962 @default.
- W2077994413 cites W2039039511 @default.
- W2077994413 cites W2044815326 @default.
- W2077994413 cites W2062598371 @default.
- W2077994413 cites W2068798878 @default.
- W2077994413 cites W2097085483 @default.
- W2077994413 doi "https://doi.org/10.1016/j.camwa.2013.05.017" @default.
- W2077994413 hasPublicationYear "2013" @default.
- W2077994413 type Work @default.
- W2077994413 sameAs 2077994413 @default.
- W2077994413 citedByCount "8" @default.
- W2077994413 countsByYear W20779944132014 @default.
- W2077994413 countsByYear W20779944132015 @default.
- W2077994413 countsByYear W20779944132016 @default.
- W2077994413 countsByYear W20779944132017 @default.
- W2077994413 countsByYear W20779944132018 @default.
- W2077994413 countsByYear W20779944132023 @default.
- W2077994413 crossrefType "journal-article" @default.
- W2077994413 hasAuthorship W2077994413A5013444666 @default.
- W2077994413 hasAuthorship W2077994413A5078509154 @default.
- W2077994413 hasBestOaLocation W20779944131 @default.
- W2077994413 hasConcept C114614502 @default.
- W2077994413 hasConcept C121332964 @default.
- W2077994413 hasConcept C121864883 @default.
- W2077994413 hasConcept C134306372 @default.
- W2077994413 hasConcept C158622935 @default.
- W2077994413 hasConcept C163681178 @default.
- W2077994413 hasConcept C177918212 @default.
- W2077994413 hasConcept C182310444 @default.
- W2077994413 hasConcept C202444582 @default.
- W2077994413 hasConcept C28826006 @default.
- W2077994413 hasConcept C33923547 @default.
- W2077994413 hasConcept C62520636 @default.
- W2077994413 hasConceptScore W2077994413C114614502 @default.
- W2077994413 hasConceptScore W2077994413C121332964 @default.
- W2077994413 hasConceptScore W2077994413C121864883 @default.
- W2077994413 hasConceptScore W2077994413C134306372 @default.
- W2077994413 hasConceptScore W2077994413C158622935 @default.
- W2077994413 hasConceptScore W2077994413C163681178 @default.
- W2077994413 hasConceptScore W2077994413C177918212 @default.
- W2077994413 hasConceptScore W2077994413C182310444 @default.
- W2077994413 hasConceptScore W2077994413C202444582 @default.
- W2077994413 hasConceptScore W2077994413C28826006 @default.
- W2077994413 hasConceptScore W2077994413C33923547 @default.
- W2077994413 hasConceptScore W2077994413C62520636 @default.
- W2077994413 hasFunder F4320321001 @default.
- W2077994413 hasIssue "3" @default.
- W2077994413 hasLocation W20779944131 @default.
- W2077994413 hasOpenAccess W2077994413 @default.
- W2077994413 hasPrimaryLocation W20779944131 @default.
- W2077994413 hasRelatedWork W1988058848 @default.
- W2077994413 hasRelatedWork W2059354999 @default.
- W2077994413 hasRelatedWork W2281565472 @default.
- W2077994413 hasRelatedWork W2506697880 @default.
- W2077994413 hasRelatedWork W2801877331 @default.
- W2077994413 hasRelatedWork W2963965459 @default.
- W2077994413 hasRelatedWork W3033276276 @default.
- W2077994413 hasRelatedWork W4289801092 @default.
- W2077994413 hasRelatedWork W4322770021 @default.
- W2077994413 hasRelatedWork W605553247 @default.
- W2077994413 hasVolume "66" @default.
- W2077994413 isParatext "false" @default.
- W2077994413 isRetracted "false" @default.
- W2077994413 magId "2077994413" @default.
- W2077994413 workType "article" @default.