The viscous damping prevents propagation of singularities in the system of viscoelasticity

DOI10.1017/S0308210500026895zbMath0890.35156OpenAlexW2169055545MaRDI QIDQ4361925

Piotr Rybka

Publication date: 29 June 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500026895

zbMATH Keywords

martensitic phase transitionslinear dampingsystem of viscoelasticity

Mathematics Subject Classification ID

Related Items (5)

Existence of stationary solutions and local minima for 2D models of fine structure dynamics ⋮ Well-posedness of a random coefficient damage mechanics model* ⋮ Quasilinear equations for viscoelasticity of strain-rate type ⋮ Global existence for a quasi-linear evolution equation with a non-convex energy ⋮ Finite-dimensional attractors for the quasi-linear strongly-damped wave equation

Cites Work

• Fine phase mixtures as minimizers of energy
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Energy minimization and the formation of microstructure in dynamic anti- plane shear
• A priori estimates for the gradient of the solution to the system of viscoelasticity in several dimensions
• The computation of the dynamics of the martensitic transformation
• Computational modeling of the martensitic transformation with surface energy
• Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
• Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy

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