Classical solutions for a modified Hele-Shaw model with elasticity
DOI10.1002/zamm.201400099zbMath1335.35191OpenAlexW1765334805MaRDI QIDQ2803450
Helmut Abels, Stefan Schaubeck
Publication date: 4 May 2016
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201400099
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74) Other free boundary flows; Hele-Shaw flows (76D27) Multiphase and multicomponent flows (76Txx) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Classical solutions to PDEs (35A09)
Cites Work
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- Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system
- Elliptic operators and maximal regularity on periodic little-Hölder spaces
- Theory of function spaces
- Classical solutions of the Stefan problem
- Parabolic boundary value problems
- A center manifold analysis for the Mullins-Sekerka model
- Classical solutions for Hele-Shaw models with surface tension
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Dislocations in visco-elastic materials
- On periodic Stokesian Hele-Shaw flows with surface tension
- The Surface Diffusion Flow for Immersed Hypersurfaces
- Classical Solutions of Multidimensional Hele--Shaw Models
- On Cahn—Hilliard systems with elasticity
- On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit
- Analytic semigroups and optimal regularity in parabolic problems
- Analysis 1
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