We introduce a new phase field model for tumor growth where viscoelastic effects are taken
into account. The model is derived from basic thermodynamical principles and consists of a …

We prove that there exists a weak solution to a system governing an unsteady flow of a
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …

In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three
dimensions. Some optimal time-decay rates of the solutions are derived via analysis of …

In this paper, we consider the Oldroyd-B model with stress tensor diffusion in R d with d≥ 2.
We first establish the global well-posedness of solutions to this model for small initial data (u …

We consider an immersed elastic body that is actively driven through a structured fluid by a
motor or an external force. The behavior of such a system generally cannot be solved …

We propose a new class of wave-phenomena in multiphase solids (and granular media)
triggered by Hydro-Poro-Mechanical coupling and cross-diffusion feedbacks of porous …

Thermodynamical arguments are known to be useful in the construction of physically
motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous …

The isothermal quasistatic (ie acceleration neglected) hardening-free plasticity at large
strains is considered, based on the standard multiplicative decomposition of the total strain …

Reformulating constitutive relation in terms of gradient dynamics (being derivative of a
dissipation potential) brings additional information on stability, metastability and instability of …

Various spatial-gradient extensions of standard viscoelastic rheologies of the Kelvin–Voigt,
Maxwell's, and Jeffreys' types are analysed in linear one-dimensional situations as far as the …