The steady-state solution for an elastic half-plane under a moving frictionless smooth indenter of arbitrary shape is derived based on the corresponding transient problem and on a condition concerning energy fluxes. Resulting stresses and displacements are found explicitly starting from their expressions in terms of a single analytical function. This solution incorporates all speed ranges, incl...

We study a moving-boundary model of nonconserved interface growth that implements the interplay between diffusive matter transport and aggregation kinetics at the interface. Conspicuous examples are found in thin-film production by chemical vapor deposition and electrochemical deposition. The model also incorporates noise terms that account for fluctuations in the diffusive and attachment proce...

Phase-field models provide a way to model fluid interfaces as having finite thickness; the interface between two immiscible fluids is treated as a thin mixing layer across which physical properties vary steeply but continuously. One of the main challenges of this approach is in resolving the sharp gradients at the interface. In this paper, moving finite-element methods are used to simulate inte...

The two-dimensional interface crack problem is investigated for ani-sotropic bodies in the Comninou formulation. It is established that, as in the isotropic case, properly incorporating contact zones at the crack tips avoids contradictions connected with the oscillating asymptotic behaviour of physical and mechanical characteristics leading to the overlapping of material. Applying the special i...

We consider the facilitated exclusion process, which is a nonergodic, kinetically constrained process. show that in hydrodynamic limit, its macroscopic behavior governed by free boundary problem. The particles evolve on one-dimensional lattice according to jump rates are degenerate, since they can vanish non-trivial configurations and create distinct phases: indeed, be totally blocked (they can...

In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of immiscible Maxwell fractional fluids by two parallel moving walls are studied. The fluid occurs in presence Robin’s boundaries linear fluid-fluid interface conditions due to motion on its planes time-dependent pressure gradient. problem is defined as mathematical model which focuses memory, represent...