Matches in SemOpenAlex for { <https://semopenalex.org/work/W1837136108> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W1837136108 abstract "In this paper, we consider the Dirichlet problem of inhomogeneous incompressible nematic liquid crystal equations in bounded smooth domains of two or three dimensions. We prove the global existence and uniqueness of strong solutions with initial data being of small norm but allowed to have vacuum. More precisely, for two dimensional case, we only require that the basic energy $|sqrt{rho_0}u_0|_{L^2}^2+|nabla d_0|_{L^2}^2$ is small, while for three dimensional case, we ask for the smallness of the production of the basic energy and the quantity $|nabla u_0|_{L^2}^2+|nabla^2d_0|_{L^2}^2$. Our efforts mainly center on the establishment of the time independent a priori estimate on local strong solutions. Taking advantage of such a priori estimate, we extend the local strong solution to the whole time, obtaining the global strong solution." @default.
- W1837136108 created "2016-06-24" @default.
- W1837136108 creator A5025394425 @default.
- W1837136108 date "2012-11-26" @default.
- W1837136108 modified "2023-10-18" @default.
- W1837136108 title "Global Strong Solutions to Incompressible Nematic Liquid Crystal Flow" @default.
- W1837136108 cites W1158810330 @default.
- W1837136108 cites W1524094700 @default.
- W1837136108 cites W1524433941 @default.
- W1837136108 cites W1572238210 @default.
- W1837136108 cites W1598074861 @default.
- W1837136108 cites W1992568866 @default.
- W1837136108 cites W1994563353 @default.
- W1837136108 cites W2014232793 @default.
- W1837136108 cites W2021073558 @default.
- W1837136108 cites W2049031884 @default.
- W1837136108 cites W2057992183 @default.
- W1837136108 cites W2061275085 @default.
- W1837136108 cites W2066196783 @default.
- W1837136108 cites W2072467819 @default.
- W1837136108 cites W2135701176 @default.
- W1837136108 cites W2223597313 @default.
- W1837136108 cites W2963768930 @default.
- W1837136108 cites W2963808592 @default.
- W1837136108 cites W2460456476 @default.
- W1837136108 doi "https://doi.org/10.48550/arxiv.1211.5864" @default.
- W1837136108 hasPublicationYear "2012" @default.
- W1837136108 type Work @default.
- W1837136108 sameAs 1837136108 @default.
- W1837136108 citedByCount "2" @default.
- W1837136108 countsByYear W18371361082014 @default.
- W1837136108 countsByYear W18371361082015 @default.
- W1837136108 crossrefType "posted-content" @default.
- W1837136108 hasAuthorship W1837136108A5025394425 @default.
- W1837136108 hasBestOaLocation W18371361081 @default.
- W1837136108 hasConcept C111472728 @default.
- W1837136108 hasConcept C121332964 @default.
- W1837136108 hasConcept C13274807 @default.
- W1837136108 hasConcept C134306372 @default.
- W1837136108 hasConcept C138885662 @default.
- W1837136108 hasConcept C17744445 @default.
- W1837136108 hasConcept C182310444 @default.
- W1837136108 hasConcept C191795146 @default.
- W1837136108 hasConcept C199539241 @default.
- W1837136108 hasConcept C26873012 @default.
- W1837136108 hasConcept C2777021972 @default.
- W1837136108 hasConcept C2779557605 @default.
- W1837136108 hasConcept C2779560616 @default.
- W1837136108 hasConcept C33923547 @default.
- W1837136108 hasConcept C34388435 @default.
- W1837136108 hasConcept C54207081 @default.
- W1837136108 hasConcept C57879066 @default.
- W1837136108 hasConcept C62520636 @default.
- W1837136108 hasConcept C75553542 @default.
- W1837136108 hasConcept C84655787 @default.
- W1837136108 hasConceptScore W1837136108C111472728 @default.
- W1837136108 hasConceptScore W1837136108C121332964 @default.
- W1837136108 hasConceptScore W1837136108C13274807 @default.
- W1837136108 hasConceptScore W1837136108C134306372 @default.
- W1837136108 hasConceptScore W1837136108C138885662 @default.
- W1837136108 hasConceptScore W1837136108C17744445 @default.
- W1837136108 hasConceptScore W1837136108C182310444 @default.
- W1837136108 hasConceptScore W1837136108C191795146 @default.
- W1837136108 hasConceptScore W1837136108C199539241 @default.
- W1837136108 hasConceptScore W1837136108C26873012 @default.
- W1837136108 hasConceptScore W1837136108C2777021972 @default.
- W1837136108 hasConceptScore W1837136108C2779557605 @default.
- W1837136108 hasConceptScore W1837136108C2779560616 @default.
- W1837136108 hasConceptScore W1837136108C33923547 @default.
- W1837136108 hasConceptScore W1837136108C34388435 @default.
- W1837136108 hasConceptScore W1837136108C54207081 @default.
- W1837136108 hasConceptScore W1837136108C57879066 @default.
- W1837136108 hasConceptScore W1837136108C62520636 @default.
- W1837136108 hasConceptScore W1837136108C75553542 @default.
- W1837136108 hasConceptScore W1837136108C84655787 @default.
- W1837136108 hasLocation W18371361081 @default.
- W1837136108 hasOpenAccess W1837136108 @default.
- W1837136108 hasPrimaryLocation W18371361081 @default.
- W1837136108 hasRelatedWork W1850751141 @default.
- W1837136108 hasRelatedWork W1971274429 @default.
- W1837136108 hasRelatedWork W2067411679 @default.
- W1837136108 hasRelatedWork W2282062285 @default.
- W1837136108 hasRelatedWork W2469836941 @default.
- W1837136108 hasRelatedWork W2521291054 @default.
- W1837136108 hasRelatedWork W2988365415 @default.
- W1837136108 hasRelatedWork W3088674125 @default.
- W1837136108 hasRelatedWork W4283388922 @default.
- W1837136108 hasRelatedWork W4300213123 @default.
- W1837136108 isParatext "false" @default.
- W1837136108 isRetracted "false" @default.
- W1837136108 magId "1837136108" @default.
- W1837136108 workType "article" @default.