FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963544055> ?p ?o ?g. }

• W2963544055 abstract "The harmonic map heat flow is a geometric flow well known to produce solutions whose gradient blows up in finite time. A popular model for investigating the blow-up is the heat flow for maps $mathbb R^{d}to S^{d}$, restricted to equivariant maps. This model displays a variety of possible blow-up mechanisms, examples include self-similar solutions for $3le dle 6$ and a so-called Type II blow-up in the critical dimension $d=2$. Here we present the first constructive example of Type II blow-up in higher dimensions: for each $dge7$ we construct a countable family of Type II solutions, each characterized by a different blow-up rate. We study the mechanism behind the formation of these singular solutions and we relate the blow-up to eigenvalues associated to linearization of the harmonic map heat flow around the equatorial map. Some of the solutions constructed by us were already observed numerically." @default.
• W2963544055 created "2019-07-30" @default.
• W2963544055 creator A5002921360 @default.
• W2963544055 creator A5085671918 @default.
• W2963544055 date "2017-06-22" @default.
• W2963544055 modified "2023-10-13" @default.
• W2963544055 title "Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow" @default.
• W2963544055 cites W1974228548 @default.
• W2963544055 cites W1980145021 @default.
• W2963544055 cites W1983626903 @default.
• W2963544055 cites W1984336825 @default.
• W2963544055 cites W1997447267 @default.
• W2963544055 cites W2000370113 @default.
• W2963544055 cites W2009801100 @default.
• W2963544055 cites W2019138867 @default.
• W2963544055 cites W2028761235 @default.
• W2963544055 cites W2038492033 @default.
• W2963544055 cites W2038710529 @default.
• W2963544055 cites W2040336583 @default.
• W2963544055 cites W2046904024 @default.
• W2963544055 cites W2049048873 @default.
• W2963544055 cites W2052499416 @default.
• W2963544055 cites W2098862049 @default.
• W2963544055 cites W2129608986 @default.
• W2963544055 cites W2164254496 @default.
• W2963544055 cites W2480404596 @default.
• W2963544055 cites W2740579820 @default.
• W2963544055 cites W2963479749 @default.
• W2963544055 cites W2964074788 @default.
• W2963544055 cites W2964112395 @default.
• W2963544055 cites W3099185375 @default.
• W2963544055 cites W3102693626 @default.
• W2963544055 cites W4254018735 @default.
• W2963544055 cites W622777260 @default.
• W2963544055 cites W3105211906 @default.
• W2963544055 doi "https://doi.org/10.1093/imrn/rnx122" @default.
• W2963544055 hasPublicationYear "2017" @default.
• W2963544055 type Work @default.
• W2963544055 sameAs 2963544055 @default.
• W2963544055 citedByCount "8" @default.
• W2963544055 countsByYear W29635440552017 @default.
• W2963544055 countsByYear W29635440552020 @default.
• W2963544055 countsByYear W29635440552021 @default.
• W2963544055 countsByYear W29635440552022 @default.
• W2963544055 crossrefType "journal-article" @default.
• W2963544055 hasAuthorship W2963544055A5002921360 @default.
• W2963544055 hasAuthorship W2963544055A5085671918 @default.
• W2963544055 hasBestOaLocation W29635440552 @default.
• W2963544055 hasConcept C110729354 @default.
• W2963544055 hasConcept C134306372 @default.
• W2963544055 hasConcept C171036898 @default.
• W2963544055 hasConcept C18903297 @default.
• W2963544055 hasConcept C202444582 @default.
• W2963544055 hasConcept C2524010 @default.
• W2963544055 hasConcept C2777299769 @default.
• W2963544055 hasConcept C33676613 @default.
• W2963544055 hasConcept C33923547 @default.
• W2963544055 hasConcept C38349280 @default.
• W2963544055 hasConcept C6270764 @default.
• W2963544055 hasConcept C86803240 @default.
• W2963544055 hasConceptScore W2963544055C110729354 @default.
• W2963544055 hasConceptScore W2963544055C134306372 @default.
• W2963544055 hasConceptScore W2963544055C171036898 @default.
• W2963544055 hasConceptScore W2963544055C18903297 @default.
• W2963544055 hasConceptScore W2963544055C202444582 @default.
• W2963544055 hasConceptScore W2963544055C2524010 @default.
• W2963544055 hasConceptScore W2963544055C2777299769 @default.
• W2963544055 hasConceptScore W2963544055C33676613 @default.
• W2963544055 hasConceptScore W2963544055C33923547 @default.
• W2963544055 hasConceptScore W2963544055C38349280 @default.
• W2963544055 hasConceptScore W2963544055C6270764 @default.
• W2963544055 hasConceptScore W2963544055C86803240 @default.
• W2963544055 hasFunder F4320308269 @default.
• W2963544055 hasFunder F4320320879 @default.
• W2963544055 hasLocation W29635440551 @default.
• W2963544055 hasLocation W29635440552 @default.
• W2963544055 hasOpenAccess W2963544055 @default.
• W2963544055 hasPrimaryLocation W29635440551 @default.
• W2963544055 hasRelatedWork W1525498239 @default.
• W2963544055 hasRelatedWork W1644400768 @default.
• W2963544055 hasRelatedWork W1872993443 @default.
• W2963544055 hasRelatedWork W1974118782 @default.
• W2963544055 hasRelatedWork W1984319304 @default.
• W2963544055 hasRelatedWork W2009801100 @default.
• W2963544055 hasRelatedWork W2031563772 @default.
• W2963544055 hasRelatedWork W2049048873 @default.
• W2963544055 hasRelatedWork W2058570092 @default.
• W2963544055 hasRelatedWork W2080826338 @default.
• W2963544055 hasRelatedWork W2187081221 @default.
• W2963544055 hasRelatedWork W2336519092 @default.
• W2963544055 hasRelatedWork W2464411556 @default.
• W2963544055 hasRelatedWork W249563802 @default.
• W2963544055 hasRelatedWork W2891812850 @default.
• W2963544055 hasRelatedWork W2951832322 @default.
• W2963544055 hasRelatedWork W2964074788 @default.
• W2963544055 hasRelatedWork W3099185375 @default.
• W2963544055 hasRelatedWork W3102693626 @default.
• W2963544055 hasRelatedWork W3200970579 @default.
• W2963544055 isParatext "false" @default.
• W2963544055 isRetracted "false" @default.

• next