Matches in SemOpenAlex for { <https://semopenalex.org/work/W3119185158> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3119185158 endingPage "87" @default.
- W3119185158 startingPage "60" @default.
- W3119185158 abstract "Various degenerate diffusion equations exhibit a waiting time phenomenon: depending on the “flatness” of the compactly supported initial datum at the boundary of the support, the support of the solution may not expand for a certain amount of time. We show that this phenomenon is captured by particular Lagrangian discretizations of the porous medium and the thin film equations, and we obtain sufficient criteria for the occurrence of waiting times that are consistent with the known ones for the original PDEs. For the spatially discrete solution, the waiting time phenomenon refers to a deviation of the edge of support from its original position by a quantity comparable to the mesh width, over a mesh-independent time interval. Our proof is based on estimates on the fluid velocity in Lagrangian coordinates. Combining weighted entropy estimates with an iteration technique à la Stampacchia leads to upper bounds on free boundary propagation. Numerical simulations show that the phenomenon is already clearly visible for relatively coarse discretizations." @default.
- W3119185158 created "2021-01-18" @default.
- W3119185158 creator A5027403115 @default.
- W3119185158 creator A5040660166 @default.
- W3119185158 date "2021-01-01" @default.
- W3119185158 modified "2023-10-18" @default.
- W3119185158 title "The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations" @default.
- W3119185158 cites W1494768298 @default.
- W3119185158 cites W1864129253 @default.
- W3119185158 cites W1964889848 @default.
- W3119185158 cites W1974213952 @default.
- W3119185158 cites W1987047421 @default.
- W3119185158 cites W1988974595 @default.
- W3119185158 cites W2006369296 @default.
- W3119185158 cites W2006838499 @default.
- W3119185158 cites W2017258417 @default.
- W3119185158 cites W2032254325 @default.
- W3119185158 cites W2044163325 @default.
- W3119185158 cites W2045175626 @default.
- W3119185158 cites W2045972093 @default.
- W3119185158 cites W2049585229 @default.
- W3119185158 cites W2054723044 @default.
- W3119185158 cites W2055054359 @default.
- W3119185158 cites W2058436955 @default.
- W3119185158 cites W2060052509 @default.
- W3119185158 cites W2066908036 @default.
- W3119185158 cites W2078279585 @default.
- W3119185158 cites W2081193816 @default.
- W3119185158 cites W2089832669 @default.
- W3119185158 cites W2092683400 @default.
- W3119185158 cites W2094027993 @default.
- W3119185158 cites W2119761103 @default.
- W3119185158 cites W2122036088 @default.
- W3119185158 cites W2158169385 @default.
- W3119185158 cites W2549442543 @default.
- W3119185158 cites W2821775784 @default.
- W3119185158 cites W299665525 @default.
- W3119185158 cites W3101192369 @default.
- W3119185158 doi "https://doi.org/10.1137/19m1300017" @default.
- W3119185158 hasPublicationYear "2021" @default.
- W3119185158 type Work @default.
- W3119185158 sameAs 3119185158 @default.
- W3119185158 citedByCount "2" @default.
- W3119185158 countsByYear W31191851582022 @default.
- W3119185158 countsByYear W31191851582023 @default.
- W3119185158 crossrefType "journal-article" @default.
- W3119185158 hasAuthorship W3119185158A5027403115 @default.
- W3119185158 hasAuthorship W3119185158A5040660166 @default.
- W3119185158 hasBestOaLocation W31191851582 @default.
- W3119185158 hasConcept C105569014 @default.
- W3119185158 hasConcept C106301342 @default.
- W3119185158 hasConcept C121332964 @default.
- W3119185158 hasConcept C127413603 @default.
- W3119185158 hasConcept C134306372 @default.
- W3119185158 hasConcept C182310444 @default.
- W3119185158 hasConcept C187320778 @default.
- W3119185158 hasConcept C28826006 @default.
- W3119185158 hasConcept C33923547 @default.
- W3119185158 hasConcept C62520636 @default.
- W3119185158 hasConcept C6648577 @default.
- W3119185158 hasConcept C72319582 @default.
- W3119185158 hasConcept C73000952 @default.
- W3119185158 hasConceptScore W3119185158C105569014 @default.
- W3119185158 hasConceptScore W3119185158C106301342 @default.
- W3119185158 hasConceptScore W3119185158C121332964 @default.
- W3119185158 hasConceptScore W3119185158C127413603 @default.
- W3119185158 hasConceptScore W3119185158C134306372 @default.
- W3119185158 hasConceptScore W3119185158C182310444 @default.
- W3119185158 hasConceptScore W3119185158C187320778 @default.
- W3119185158 hasConceptScore W3119185158C28826006 @default.
- W3119185158 hasConceptScore W3119185158C33923547 @default.
- W3119185158 hasConceptScore W3119185158C62520636 @default.
- W3119185158 hasConceptScore W3119185158C6648577 @default.
- W3119185158 hasConceptScore W3119185158C72319582 @default.
- W3119185158 hasConceptScore W3119185158C73000952 @default.
- W3119185158 hasFunder F4320320879 @default.
- W3119185158 hasIssue "1" @default.
- W3119185158 hasLocation W31191851581 @default.
- W3119185158 hasLocation W31191851582 @default.
- W3119185158 hasOpenAccess W3119185158 @default.
- W3119185158 hasPrimaryLocation W31191851581 @default.
- W3119185158 hasRelatedWork W1492103595 @default.
- W3119185158 hasRelatedWork W1971388572 @default.
- W3119185158 hasRelatedWork W2070155869 @default.
- W3119185158 hasRelatedWork W2334479858 @default.
- W3119185158 hasRelatedWork W2353039109 @default.
- W3119185158 hasRelatedWork W2364741597 @default.
- W3119185158 hasRelatedWork W2900100504 @default.
- W3119185158 hasRelatedWork W3020787026 @default.
- W3119185158 hasRelatedWork W4315588385 @default.
- W3119185158 hasRelatedWork W946352265 @default.
- W3119185158 hasVolume "59" @default.
- W3119185158 isParatext "false" @default.
- W3119185158 isRetracted "false" @default.
- W3119185158 magId "3119185158" @default.
- W3119185158 workType "article" @default.