Matches in SemOpenAlex for { <https://semopenalex.org/work/W2027153028> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2027153028 endingPage "417" @default.
- W2027153028 startingPage "377" @default.
- W2027153028 abstract "ABSTRACT In this paper, we study the large time behavior of solutions of a parabolic equation coupled with an ordinary differential equation (ODE). This system can be seen as a simplified N-dimensional model for the interactive motion of a rigid body (a ball) immersed in a viscous fluid in which the pressure of the fluid is neglected. Consequently, the motion of the fluid is governed by the heat equation, and the standard conservation law of linear momentum determines the dynamics of the rigid body. In addition, the velocity of the fluid and that of the rigid body coincide on its boundary. The time variation of the ball position, and consequently of the domain occupied by the fluid, are not known a priori, so we deal with a free boundary problem. After proving the existence and uniqueness of a strong global in time solution, we get its decay rate in L p (1 ≤ p ≤ ∞), assuming the initial data to be integrable. Then, working in suitable weighted Sobolev spaces, and using the so-called similarity variables and scaling arguments, we compute the first term in the asymptotic development of solutions. We prove that the asymptotic profile of the fluid is the heat kernel with an appropriate total mass. The L ∞ estimates we get allow us to describe the asymptotic trajectory of the center of mass of the rigid body as well. We compute also the second term in the asymptotic development in L 2 under further regularity assumptions on the initial data." @default.
- W2027153028 created "2016-06-24" @default.
- W2027153028 creator A5014244809 @default.
- W2027153028 creator A5088702266 @default.
- W2027153028 date "2005-03-01" @default.
- W2027153028 modified "2023-10-06" @default.
- W2027153028 title "Large Time Behavior for a SimplifiedN-Dimensional Model of Fluid–Solid Interaction" @default.
- W2027153028 cites W1966500451 @default.
- W2027153028 cites W1966539747 @default.
- W2027153028 cites W1995060085 @default.
- W2027153028 cites W2000304709 @default.
- W2027153028 cites W2020253526 @default.
- W2027153028 cites W2023389177 @default.
- W2027153028 cites W2030063572 @default.
- W2027153028 cites W2032938436 @default.
- W2027153028 cites W2041598378 @default.
- W2027153028 cites W2045884245 @default.
- W2027153028 cites W2052837913 @default.
- W2027153028 cites W2064072126 @default.
- W2027153028 cites W2146591166 @default.
- W2027153028 cites W2329788767 @default.
- W2027153028 cites W4205727720 @default.
- W2027153028 doi "https://doi.org/10.1081/pde-200050080" @default.
- W2027153028 hasPublicationYear "2005" @default.
- W2027153028 type Work @default.
- W2027153028 sameAs 2027153028 @default.
- W2027153028 citedByCount "13" @default.
- W2027153028 countsByYear W20271530282014 @default.
- W2027153028 countsByYear W20271530282015 @default.
- W2027153028 countsByYear W20271530282019 @default.
- W2027153028 countsByYear W20271530282020 @default.
- W2027153028 countsByYear W20271530282021 @default.
- W2027153028 countsByYear W20271530282023 @default.
- W2027153028 crossrefType "journal-article" @default.
- W2027153028 hasAuthorship W2027153028A5014244809 @default.
- W2027153028 hasAuthorship W2027153028A5088702266 @default.
- W2027153028 hasBestOaLocation W20271530282 @default.
- W2027153028 hasConcept C11683690 @default.
- W2027153028 hasConcept C121332964 @default.
- W2027153028 hasConcept C122041747 @default.
- W2027153028 hasConcept C134306372 @default.
- W2027153028 hasConcept C145980571 @default.
- W2027153028 hasConcept C158622935 @default.
- W2027153028 hasConcept C167964875 @default.
- W2027153028 hasConcept C2777021972 @default.
- W2027153028 hasConcept C33923547 @default.
- W2027153028 hasConcept C34862557 @default.
- W2027153028 hasConcept C51544822 @default.
- W2027153028 hasConcept C57879066 @default.
- W2027153028 hasConcept C62520636 @default.
- W2027153028 hasConcept C74650414 @default.
- W2027153028 hasConcept C78045399 @default.
- W2027153028 hasConcept C90278072 @default.
- W2027153028 hasConcept C93779851 @default.
- W2027153028 hasConcept C99730327 @default.
- W2027153028 hasConceptScore W2027153028C11683690 @default.
- W2027153028 hasConceptScore W2027153028C121332964 @default.
- W2027153028 hasConceptScore W2027153028C122041747 @default.
- W2027153028 hasConceptScore W2027153028C134306372 @default.
- W2027153028 hasConceptScore W2027153028C145980571 @default.
- W2027153028 hasConceptScore W2027153028C158622935 @default.
- W2027153028 hasConceptScore W2027153028C167964875 @default.
- W2027153028 hasConceptScore W2027153028C2777021972 @default.
- W2027153028 hasConceptScore W2027153028C33923547 @default.
- W2027153028 hasConceptScore W2027153028C34862557 @default.
- W2027153028 hasConceptScore W2027153028C51544822 @default.
- W2027153028 hasConceptScore W2027153028C57879066 @default.
- W2027153028 hasConceptScore W2027153028C62520636 @default.
- W2027153028 hasConceptScore W2027153028C74650414 @default.
- W2027153028 hasConceptScore W2027153028C78045399 @default.
- W2027153028 hasConceptScore W2027153028C90278072 @default.
- W2027153028 hasConceptScore W2027153028C93779851 @default.
- W2027153028 hasConceptScore W2027153028C99730327 @default.
- W2027153028 hasIssue "3" @default.
- W2027153028 hasLocation W20271530281 @default.
- W2027153028 hasLocation W20271530282 @default.
- W2027153028 hasLocation W20271530283 @default.
- W2027153028 hasLocation W20271530284 @default.
- W2027153028 hasLocation W20271530285 @default.
- W2027153028 hasOpenAccess W2027153028 @default.
- W2027153028 hasPrimaryLocation W20271530281 @default.
- W2027153028 hasRelatedWork W1563336729 @default.
- W2027153028 hasRelatedWork W1976276680 @default.
- W2027153028 hasRelatedWork W2092397289 @default.
- W2027153028 hasRelatedWork W2594893345 @default.
- W2027153028 hasRelatedWork W2949202582 @default.
- W2027153028 hasRelatedWork W2950301484 @default.
- W2027153028 hasRelatedWork W3122054165 @default.
- W2027153028 hasRelatedWork W4297956553 @default.
- W2027153028 hasRelatedWork W4319312326 @default.
- W2027153028 hasRelatedWork W4324119804 @default.
- W2027153028 hasVolume "30" @default.
- W2027153028 isParatext "false" @default.
- W2027153028 isRetracted "false" @default.
- W2027153028 magId "2027153028" @default.
- W2027153028 workType "article" @default.