Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311556273> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4311556273 abstract "We analyze a Navier-Stokes-Cahn-Hilliard model for viscous incompressible two-phase flows where the mechanisms of chemotaxis, active transport and reaction are taken into account. The evolution system couples the Navier-Stokes equations for the volume-averaged fluid velocity, a convective Cahn-Hilliard equation for the phase-field variable, and an advection-diffusion equation for the density of certain chemical substance. This system is thermodynamically consistent and generalizes the well-known ``Model H'' for viscous incompressible binary fluids. For the initial-boundary value problem with a physically relevant singular potential in a general bounded smooth domain $Omegasubset mathbb{R}^3$, we first prove the existence and uniqueness of a local strong solution. When the initial velocity is small and the initial phase-field function as well as the initial chemical density are small perturbations of a local minimizer of the free energy, we establish the existence of a unique global strong solution. Afterwards, we show the uniqueness of asymptotic limit for any global strong solution as time goes to infinity and provide an estimate on the convergence rate. The proofs for global well-posedness and long-time behavior are based on the dissipative structure of the system and the Lojasiewicz-Simon approach. Our analysis reveals the effects of chemotaxis, active transport and a long-range interaction of Oono's type on the global dynamics of the coupled system." @default.
- W4311556273 created "2022-12-27" @default.
- W4311556273 creator A5052703735 @default.
- W4311556273 creator A5081619260 @default.
- W4311556273 date "2022-12-13" @default.
- W4311556273 modified "2023-09-30" @default.
- W4311556273 title "On a Navier-Stokes-Cahn-Hilliard System for Viscous Incompressible Two-phase Flows with Chemotaxis, Active Transport and Reaction" @default.
- W4311556273 doi "https://doi.org/10.48550/arxiv.2212.06613" @default.
- W4311556273 hasPublicationYear "2022" @default.
- W4311556273 type Work @default.
- W4311556273 citedByCount "0" @default.
- W4311556273 crossrefType "posted-content" @default.
- W4311556273 hasAuthorship W4311556273A5052703735 @default.
- W4311556273 hasAuthorship W4311556273A5081619260 @default.
- W4311556273 hasBestOaLocation W43115562731 @default.
- W4311556273 hasConcept C121332964 @default.
- W4311556273 hasConcept C134306372 @default.
- W4311556273 hasConcept C17456955 @default.
- W4311556273 hasConcept C182310444 @default.
- W4311556273 hasConcept C24822716 @default.
- W4311556273 hasConcept C2777021972 @default.
- W4311556273 hasConcept C33923547 @default.
- W4311556273 hasConcept C34388435 @default.
- W4311556273 hasConcept C45137528 @default.
- W4311556273 hasConcept C57879066 @default.
- W4311556273 hasConcept C62354387 @default.
- W4311556273 hasConcept C84655787 @default.
- W4311556273 hasConcept C91188154 @default.
- W4311556273 hasConcept C93779851 @default.
- W4311556273 hasConcept C97355855 @default.
- W4311556273 hasConcept C99692599 @default.
- W4311556273 hasConceptScore W4311556273C121332964 @default.
- W4311556273 hasConceptScore W4311556273C134306372 @default.
- W4311556273 hasConceptScore W4311556273C17456955 @default.
- W4311556273 hasConceptScore W4311556273C182310444 @default.
- W4311556273 hasConceptScore W4311556273C24822716 @default.
- W4311556273 hasConceptScore W4311556273C2777021972 @default.
- W4311556273 hasConceptScore W4311556273C33923547 @default.
- W4311556273 hasConceptScore W4311556273C34388435 @default.
- W4311556273 hasConceptScore W4311556273C45137528 @default.
- W4311556273 hasConceptScore W4311556273C57879066 @default.
- W4311556273 hasConceptScore W4311556273C62354387 @default.
- W4311556273 hasConceptScore W4311556273C84655787 @default.
- W4311556273 hasConceptScore W4311556273C91188154 @default.
- W4311556273 hasConceptScore W4311556273C93779851 @default.
- W4311556273 hasConceptScore W4311556273C97355855 @default.
- W4311556273 hasConceptScore W4311556273C99692599 @default.
- W4311556273 hasLocation W43115562731 @default.
- W4311556273 hasLocation W43115562732 @default.
- W4311556273 hasOpenAccess W4311556273 @default.
- W4311556273 hasPrimaryLocation W43115562731 @default.
- W4311556273 hasRelatedWork W186744944 @default.
- W4311556273 hasRelatedWork W1971274429 @default.
- W4311556273 hasRelatedWork W1994054506 @default.
- W4311556273 hasRelatedWork W2042501092 @default.
- W4311556273 hasRelatedWork W2339294360 @default.
- W4311556273 hasRelatedWork W2905644317 @default.
- W4311556273 hasRelatedWork W3101678085 @default.
- W4311556273 hasRelatedWork W3174851409 @default.
- W4311556273 hasRelatedWork W4287114017 @default.
- W4311556273 hasRelatedWork W4289363902 @default.
- W4311556273 isParatext "false" @default.
- W4311556273 isRetracted "false" @default.
- W4311556273 workType "article" @default.