Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids
From MaRDI portal
Publication:3174597
DOI10.1137/090775142zbMath1226.82045OpenAlexW2040809598MaRDI QIDQ3174597
Christian Seis, Felix Otto, Yann Brenier
Publication date: 11 October 2011
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/354cc174dd61ecf0892f86f7bc51314f48a74e53
Asymptotic behavior of solutions to PDEs (35B40) Multiphase and multicomponent flows (76T99) Stokes and related (Oseen, etc.) flows (76D07) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Ginzburg-Landau equations (35Q56)
Related Items
Mixing and un-mixing by incompressible flows ⋮ A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮ Interpolation inequalities in pattern formation ⋮ A quantitative theory for the continuity equation ⋮ Convergence Rates for Upwind Schemes with Rough Coefficients ⋮ Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with $L^1$ Vorticity ⋮ Bounds on the rate of enhanced dissipation ⋮ Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths ⋮ Discretizing advection equations with rough velocity fields on non-Cartesian grids ⋮ Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures ⋮ Analysis of the implicit upwind finite volume scheme with rough coefficients ⋮ An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system ⋮ Universal mixers in all dimensions ⋮ Least action principles for incompressible flows and geodesics between shapes ⋮ Optimal stability estimates and a new uniqueness result for advection-diffusion equations ⋮ Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows