Matches in SemOpenAlex for { <https://semopenalex.org/work/W4379533085> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W4379533085 endingPage "202" @default.
- W4379533085 startingPage "173" @default.
- W4379533085 abstract "In this paper we consider the multi-dimensional pressureless Euler system and we tackle the problem of existence and uniqueness of sticky particle solutions for general measure-type initial data. Although explicit counterexamples to both existence and uniqueness are known since [6], the problem of whether one can still find sticky particle solutions for a large set of data and of how one can select them was up to our knowledge still completely open. In this paper we prove that for a comeager set of initial data in the weak topology the pressureless Euler system admits a unique sticky particle solution given by a free flow where trajectories are disjoint straight lines. Indeed, such an existence and uniqueness result holds for a broader class of solutions decreasing their kinetic energy, which we call dissipative solutions, and which turns out to be the compact weak closure of the classical sticky particle solutions. Therefore any scheme for which the energy is l.s.c. and is dissipated will converge, for a comeager set of data, to our solution, i.e. the free flow." @default.
- W4379533085 created "2023-06-07" @default.
- W4379533085 creator A5071374321 @default.
- W4379533085 creator A5092101427 @default.
- W4379533085 date "2023-09-01" @default.
- W4379533085 modified "2023-09-30" @default.
- W4379533085 title "On the sticky particle solutions to the multi-dimensional pressureless Euler equations" @default.
- W4379533085 cites W1848249494 @default.
- W4379533085 cites W1973006080 @default.
- W4379533085 cites W2024486218 @default.
- W4379533085 cites W2031922159 @default.
- W4379533085 cites W2036954014 @default.
- W4379533085 cites W2041286405 @default.
- W4379533085 cites W2052956617 @default.
- W4379533085 cites W2074374100 @default.
- W4379533085 cites W2081339714 @default.
- W4379533085 cites W2090020940 @default.
- W4379533085 cites W2092011958 @default.
- W4379533085 cites W2963162131 @default.
- W4379533085 cites W2963737103 @default.
- W4379533085 cites W2964035929 @default.
- W4379533085 doi "https://doi.org/10.1016/j.jde.2023.05.034" @default.
- W4379533085 hasPublicationYear "2023" @default.
- W4379533085 type Work @default.
- W4379533085 citedByCount "0" @default.
- W4379533085 crossrefType "journal-article" @default.
- W4379533085 hasAuthorship W4379533085A5071374321 @default.
- W4379533085 hasAuthorship W4379533085A5092101427 @default.
- W4379533085 hasBestOaLocation W43795330852 @default.
- W4379533085 hasConcept C118615104 @default.
- W4379533085 hasConcept C121332964 @default.
- W4379533085 hasConcept C134306372 @default.
- W4379533085 hasConcept C146834321 @default.
- W4379533085 hasConcept C162324750 @default.
- W4379533085 hasConcept C162838799 @default.
- W4379533085 hasConcept C202444582 @default.
- W4379533085 hasConcept C2524010 @default.
- W4379533085 hasConcept C2777021972 @default.
- W4379533085 hasConcept C2781217745 @default.
- W4379533085 hasConcept C28826006 @default.
- W4379533085 hasConcept C33923547 @default.
- W4379533085 hasConcept C34447519 @default.
- W4379533085 hasConcept C38349280 @default.
- W4379533085 hasConcept C38409319 @default.
- W4379533085 hasConcept C45340560 @default.
- W4379533085 hasConcept C62520636 @default.
- W4379533085 hasConcept C62884695 @default.
- W4379533085 hasConcept C768646 @default.
- W4379533085 hasConcept C93082080 @default.
- W4379533085 hasConcept C99692599 @default.
- W4379533085 hasConceptScore W4379533085C118615104 @default.
- W4379533085 hasConceptScore W4379533085C121332964 @default.
- W4379533085 hasConceptScore W4379533085C134306372 @default.
- W4379533085 hasConceptScore W4379533085C146834321 @default.
- W4379533085 hasConceptScore W4379533085C162324750 @default.
- W4379533085 hasConceptScore W4379533085C162838799 @default.
- W4379533085 hasConceptScore W4379533085C202444582 @default.
- W4379533085 hasConceptScore W4379533085C2524010 @default.
- W4379533085 hasConceptScore W4379533085C2777021972 @default.
- W4379533085 hasConceptScore W4379533085C2781217745 @default.
- W4379533085 hasConceptScore W4379533085C28826006 @default.
- W4379533085 hasConceptScore W4379533085C33923547 @default.
- W4379533085 hasConceptScore W4379533085C34447519 @default.
- W4379533085 hasConceptScore W4379533085C38349280 @default.
- W4379533085 hasConceptScore W4379533085C38409319 @default.
- W4379533085 hasConceptScore W4379533085C45340560 @default.
- W4379533085 hasConceptScore W4379533085C62520636 @default.
- W4379533085 hasConceptScore W4379533085C62884695 @default.
- W4379533085 hasConceptScore W4379533085C768646 @default.
- W4379533085 hasConceptScore W4379533085C93082080 @default.
- W4379533085 hasConceptScore W4379533085C99692599 @default.
- W4379533085 hasLocation W43795330851 @default.
- W4379533085 hasLocation W43795330852 @default.
- W4379533085 hasOpenAccess W4379533085 @default.
- W4379533085 hasPrimaryLocation W43795330851 @default.
- W4379533085 hasRelatedWork W2026080260 @default.
- W4379533085 hasRelatedWork W2039299714 @default.
- W4379533085 hasRelatedWork W2144731379 @default.
- W4379533085 hasRelatedWork W2476020974 @default.
- W4379533085 hasRelatedWork W2798375617 @default.
- W4379533085 hasRelatedWork W2903705368 @default.
- W4379533085 hasRelatedWork W2949875347 @default.
- W4379533085 hasRelatedWork W2963098584 @default.
- W4379533085 hasRelatedWork W3041307745 @default.
- W4379533085 hasRelatedWork W4289106089 @default.
- W4379533085 hasVolume "368" @default.
- W4379533085 isParatext "false" @default.
- W4379533085 isRetracted "false" @default.
- W4379533085 workType "article" @default.