Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity
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Publication:1268737
DOI10.1006/jmaa.1998.6066zbMath0919.35022OpenAlexW1987259162MaRDI QIDQ1268737
Piotr Rybka, Karl-Heinz Hoffmann
Publication date: 1 November 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6066
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Dynamical problems in solid mechanics (74Hxx)
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Cites Work
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- Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- Geometric theory of semilinear parabolic equations
- Energy minimization and the formation of microstructure in dynamic anti- plane shear
- On semi- and subanalytic geometry
- General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
- Kinetic relations and the propagation of phase boundaries in solids
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- Dynamics as a mechanism preventing the formation of finer and fine microstructure
- Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids
- Computation of Nonclassical Solutions to Hamilton--Jacobi Problems