A set of constitutive equations for large rate-dependent elastic–plastic-damage materials at elevated temperatures is presented to be able to analyze adiabatic high strain rate deformation processes for a wide range of stress triaxialities. The model is based on the concepts of continuum damage mechanics. Since the material macroscopic thermo-mechanical response under large strain and high stra...

Cauchy problem, 19, 136Condition number, 40, 55, 99, 110Contractibility, 183Counterflow equation, 156Critical delay, 167Delay Liapunov function, 138Delay margin, 170Departure from normality, 56Diagonalizable matrix, 55Diagonally dominant matrix, 36Differential inclusion, 45Dissipativity radius, 33Dual norm, 8, 25Dual pair, 25Eccentricity, ...

The class of commutator-free Magnus integrators is known to provide a favourable alternative to standard Magnus integrators, in particular for large-scale applications arising in the time integration of non-autonomous linear evolution equations. A high-order commutator-free Magnus integrator is given by a composition of several exponentials that comprise certain linear combinations of the value...

A new type of quantum transfer matrix, arising as a Cholesky factor for the steady-state density matrix of a dissipative Markovian process associated with the boundary-driven Lindblad equation for the isotropic spin-1/2 Heisenberg (XXX ) chain, is presented. The transfer matrix forms a commuting family of non-Hermitian operators depending on the spectral parameter, which is essentially the stre...

We introduce and discuss the possible dynamics of groups of undistinguished agents, which are interacting according to their relative positions, with the aim of deriving hydrodynamical equations. These models are developed to mimic the collective motion of groups of living individuals such as bird flocks, fish schools, herds of quadrupeds or bacteria colonies. Our starting model for these inter...

Nonlinear resonant magnetohydrodynamic (MHD) waves are studied in weakly dissipative isotropic plasmas in cylindrical geometry. This geometry is suitable and is needed when one intends to study resonant MHD waves in magnetic flux tubes (e.g. for sunspots, coronal loops, solar plumes, solar wind, the magnetosphere, etc.) The resonant behaviour of slow MHD waves is confined in a narrow dissipativ...

In this Letter we consider stationary states of dissipative quantum systems. We discuss stationary states of dissipative quantum systems, which coincide with stationary states of Hamiltonian quantum systems. Dissipative quantum systems with pure stationary states of linear harmonic oscillator are suggested. We discuss bifurcations of stationary states for dissipative quantum systems which are q...

Dissipative particle dynamics (DPD) is a potentially very effective approach in simulating mesoscale hydrodynamics. However, because of the soft potentials employed, the simple no-slip boundary conditions are difficult to impose. In this work, we first identify some of these difficulties and subsequently we propose a new method, based on an equivalent force between walland DPD-particles, to imp...