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Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
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Karoline Disser
Published/Copyright:
September 3, 2015
Abstract
In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface diffusion, including mixed boundary conditions. The setting naturally includes non-smooth domains Ω. We show local well-posedness using maximal Ls-regularity in dual Sobolev spaces of type
Keywords: Bulk-interface interaction; quasilinear parabolic equations; mixed boundary conditions; non-smooth domains
Funding source: European Research Council
Award Identifier / Grant number: ERC-2010-AdG no. 267802 (Analysis of Multiscale Systems Driven by Functionals)
Received: 2014-12-16
Revised: 2015-5-9
Accepted: 2015-8-14
Published Online: 2015-9-3
Published in Print: 2015-11-1
© 2015 by De Gruyter
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Keywords for this article
Bulk-interface interaction;
quasilinear parabolic equations;
mixed boundary conditions;
non-smooth domains
Articles in the same Issue
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
