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 present a phase-field model for tumour growth, where a diffuse interface
separates a tumour from the surrounding host tissue. In our model, we consider transport …

We prove that there exists a large-data and global-in-time weak solution to a system of
partial differential equations describing the unsteady flow of an incompressible heat …

Within the framework of natural configurations developed by Rajagopal and Srinivasa,
evolution within continuum thermodynamics is formulated as evolution of a natural …

We investigate finite amplitude stability of spatially inhomogeneous steady state of an
incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls …

We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE
system describing flows of incompressible heat-conducting viscoelastic rate-type fluids with …

Using a Lyapunov type functional constructed on the basis of thermodynamical arguments,
we investigate the finite amplitude stability of internal steady flows of viscoelastic fluids …

We revisit some classical models for dilute polymeric fluids, and we show that
thermodynamically consistent models for non-isothermal flows of these fluids can be derived …

We are concerned with the global well-posedness of rate type viscoelastic fluids system
(1.1)–(1.2). First, we prove the global existence and decay estimate of solution to (1.1)–(1.2) …

A fluid occupying a mechanically isolated vessel with walls kept at spatially non-uniform
temperature is in the long run expected to reach the spatially inhomogeneous steady state …