Matches in SemOpenAlex for { <https://semopenalex.org/work/W2938785059> ?p ?o ?g. }
- W2938785059 endingPage "56" @default.
- W2938785059 startingPage "1" @default.
- W2938785059 abstract "In this paper, we analyze a general diffuse interface model for incompressible two-phase flows with unmatched densities in a smooth bounded domain $$Omega subset {mathbb {R}}^d$$ ( $$d=2,3$$ ). This model describes the evolution of free interfaces in contact with the solid boundary, namely the moving contact lines. The corresponding evolution system consists of a nonhomogeneous Navier–Stokes equation for the (volume) averaged fluid velocity $${mathbf {v}}$$ that is nonlinearly coupled with a convective Cahn–Hilliard equation for the order parameter $$varphi $$ . Due to the nontrivial boundary dynamics, the fluid velocity satisfies a generalized Navier boundary condition that accounts for the velocity slippage and uncompensated Young stresses at the solid boundary, while the order parameter fulfils a dynamic boundary condition with surface convection. We prove the existence of a global weak solution for arbitrary initial data in both two and three dimensions. The proof relies on a combination of suitable approximations and regularizations of the original system together with a novel time-implicit discretization scheme based on the energy dissipation law." @default.
- W2938785059 created "2019-04-25" @default.
- W2938785059 creator A5004351524 @default.
- W2938785059 creator A5004549584 @default.
- W2938785059 creator A5054462385 @default.
- W2938785059 date "2019-04-20" @default.
- W2938785059 modified "2023-10-18" @default.
- W2938785059 title "Global Weak Solutions to a Diffuse Interface Model for Incompressible Two-Phase Flows with Moving Contact Lines and Different Densities" @default.
- W2938785059 cites W1594759473 @default.
- W2938785059 cites W1964885918 @default.
- W2938785059 cites W1968858785 @default.
- W2938785059 cites W1968936060 @default.
- W2938785059 cites W1971768319 @default.
- W2938785059 cites W1983445511 @default.
- W2938785059 cites W1998176622 @default.
- W2938785059 cites W2002116790 @default.
- W2938785059 cites W2004250472 @default.
- W2938785059 cites W2004277410 @default.
- W2938785059 cites W2007951426 @default.
- W2938785059 cites W2010502651 @default.
- W2938785059 cites W2013411257 @default.
- W2938785059 cites W2018797065 @default.
- W2938785059 cites W2028173627 @default.
- W2938785059 cites W2028597802 @default.
- W2938785059 cites W2032640040 @default.
- W2938785059 cites W2033636177 @default.
- W2938785059 cites W2035183884 @default.
- W2938785059 cites W2035722774 @default.
- W2938785059 cites W2043620787 @default.
- W2938785059 cites W2046127134 @default.
- W2938785059 cites W2046859243 @default.
- W2938785059 cites W2047457755 @default.
- W2938785059 cites W2052033052 @default.
- W2938785059 cites W2055616387 @default.
- W2938785059 cites W2056521840 @default.
- W2938785059 cites W2066359652 @default.
- W2938785059 cites W2073078790 @default.
- W2938785059 cites W2074726397 @default.
- W2938785059 cites W2075860223 @default.
- W2938785059 cites W2078020107 @default.
- W2938785059 cites W2079396461 @default.
- W2938785059 cites W2081762789 @default.
- W2938785059 cites W2092961439 @default.
- W2938785059 cites W2093464796 @default.
- W2938785059 cites W2098303237 @default.
- W2938785059 cites W2102116725 @default.
- W2938785059 cites W2102204567 @default.
- W2938785059 cites W2111978097 @default.
- W2938785059 cites W2112144602 @default.
- W2938785059 cites W2114837586 @default.
- W2938785059 cites W2114955730 @default.
- W2938785059 cites W2115463092 @default.
- W2938785059 cites W2119283405 @default.
- W2938785059 cites W2130457461 @default.
- W2938785059 cites W2135298241 @default.
- W2938785059 cites W2138137531 @default.
- W2938785059 cites W2249484859 @default.
- W2938785059 cites W2332357967 @default.
- W2938785059 cites W2485244922 @default.
- W2938785059 cites W2759015744 @default.
- W2938785059 cites W2787176649 @default.
- W2938785059 cites W2890075112 @default.
- W2938785059 cites W2911836299 @default.
- W2938785059 cites W2962769912 @default.
- W2938785059 cites W2963705460 @default.
- W2938785059 cites W2963781498 @default.
- W2938785059 cites W2964136941 @default.
- W2938785059 cites W2964191258 @default.
- W2938785059 cites W2964218936 @default.
- W2938785059 cites W3099776398 @default.
- W2938785059 cites W3101215683 @default.
- W2938785059 cites W3104508475 @default.
- W2938785059 cites W3105020826 @default.
- W2938785059 cites W4244360209 @default.
- W2938785059 cites W2065548197 @default.
- W2938785059 doi "https://doi.org/10.1007/s00205-019-01383-8" @default.
- W2938785059 hasPublicationYear "2019" @default.
- W2938785059 type Work @default.
- W2938785059 sameAs 2938785059 @default.
- W2938785059 citedByCount "27" @default.
- W2938785059 countsByYear W29387850592019 @default.
- W2938785059 countsByYear W29387850592020 @default.
- W2938785059 countsByYear W29387850592021 @default.
- W2938785059 countsByYear W29387850592022 @default.
- W2938785059 countsByYear W29387850592023 @default.
- W2938785059 crossrefType "journal-article" @default.
- W2938785059 hasAuthorship W2938785059A5004351524 @default.
- W2938785059 hasAuthorship W2938785059A5004549584 @default.
- W2938785059 hasAuthorship W2938785059A5054462385 @default.
- W2938785059 hasBestOaLocation W29387850592 @default.
- W2938785059 hasConcept C121332964 @default.
- W2938785059 hasConcept C134306372 @default.
- W2938785059 hasConcept C135402231 @default.
- W2938785059 hasConcept C182310444 @default.
- W2938785059 hasConcept C33923547 @default.
- W2938785059 hasConcept C34388435 @default.
- W2938785059 hasConcept C36503486 @default.
- W2938785059 hasConcept C57879066 @default.