We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman–Gurtin thermal law. Our approach is based on asymptotic theory C0-semigroups and recent results developed for control systems. As our main results, we represent as feedback interconnection between wave part show that associated semigroup in history framework Dafermos polynomially stable opti...

|An explicit extrapolated box method is considered for a nonlinear partial integrodif-ferential equation, the Gurtin-MacCamy equation, subject to a nonlocal boundary condition. This problem describes the evolution in time of the age structure of a population. The consistency, stability and convergence properties of the method are studied, and its second order accuracy is demonstrated both analy...

david j. bird, sabine duquesne, steeg d. hoeksema, william j. langston and ian c. potter Department of Life Sciences, University of the West of England, Coldharbour Lane, Bristol, BS16 1QY, UK, Department of System Ecotoxicology, Helmholtz Centre for Environmental Research, UFZ Permoserstrasse 15, D-04318 Leipzig, Germany, Centre for Fish and Fisheries Research, School of Biology and Biotechnol...

NÚRIA BONADA* , MARIA RIERADEVALL* , HELEN DALLAS , JENNY DAVIS , JENNY DAY , RICARDO FIGUEROA § , VINCENT H. RESH AND NARCÍS PRAT* *Department of Ecology, University of Barcelona, Barcelona, Spain Department of Zoology, University of Cape Town, Cape Town, South Africa Aquatic Ecosystems Research Group, Murdoch University, Murdoch, Western Australia Aquatic Systems Research Unit, Environmental ...

In this work, a novel fully-dynamic piezoelectric beam model is considered. Electromagnetic and thermal effects are taken into consideration by Maxwell’s equations the Coleman–Gurtin law (instead of Fourier’s law), respectively. Our accounts also for electromagnetic (creep) past histories, which in line with time response PVDF at applied stress longitudinal direction. Under suitable assumptions...

We consider evolutions for a material model which couples scalar damage with strain gradient plasticity, in small strain assumptions. For strain gradient plasticity, we follow the Gurtin-Anand formulation [19]. The aim of the present model is to account for different phenomena: on the one hand the elastic stiffness reduces and the plastic yield surface shrinks due to material’s degradation, on ...

Albert J. Gabric1, Bo Qu2, Leon Rotstayn3,4 and Jill M. Shephard5 1School of Environment, Griffith University, Nathan, Queensland, Australia 2Science Department, Nantong University, China 3CSIRO Marine and Atmospheric Research, Aspendale, Victoria, Australia 4The Centre for Australian Weather and Climate Research, a partnership between CSIRO and the Bureau of Meteorology, Australia 5School of B...