Cauchy Problem, II. Here we consider the case in which the second operator is symmetric. Assume B : D V is a linear monotone operator with domain D V , where V is a Hilbert space, and that A : V V is a continuous linear symmetric monotone operator. Denote Ž .1 2 the space V with the seminorm A , by V . Then the injection a V V is continuous, and we have V V . V is a Hilbert space, for a a a whi...

A model is developed for the flow of a slightly compressible fluid through a saturated inelastic porous medium. The initial-boundary-value problem is a system that consists of the diffusion equation for the fluid coupled to the momentum equation for the porous solid together with a constitutive law which includes a possibly hysteretic relation of elasto-visco-plastic type. The variational form ...

Good scheduling policies for distributed embedded applications are required for meeting hard real time constraints and for optimizing the use of computational resources. We study the quasi-static scheduling problem in which (uncontrollable) control flow branchings can influence scheduling decisions at run time. Our abstracted distributed task model consists of a network of sequential processes ...

We consider the propagation of a crack in a brittle material along a prescribed crack path and define a quasi-static evolution by means of stationary points of the free energy. We show that this evolution satisfies Griffith’s criterion in a suitable form which takes into account both stable and unstable propagation, as well as an energy balance formula which accounts for dissipation in the unst...

A new Quasi-Static Energy Recovery Logic family (QSERL) using the principle of adiabatic switching is proposed in this paper. Most of the previously proposed adiabatic logic are dynamic and require complex clocking schemes. The proposed Quasi-Static energy recovery logic uses two complementary sinusoidal supply clocks and resembles behaviors of static CMOS. Thus, switching activity is signiican...

This study presents the experimental results for a series of tests on the uniaxial quasi-static crushing of cubical specimens of 50mm side for two species of wood such as Jack wood and Indian Fig. Compression tests were conducted on universal testing machine of 400kN capacity and at a constant deformation rate of 8mm/min. The woods were separately tested in the two principal directions i.e., gr...

This paper studies the homogenization of quasi-static and nonlinear Maxwell’s equations in grain-oriented (GO) silicon steel laminations. GO silicon steel laminations have multiple scales and the ratio of the largest scale to the smallest scale can be up to 106. Direct solution of three-dimensional nonlinear Maxwell’s equations is very challenging and unrealistic for large electromagnetic devic...

We introduce models for static and quasi-static damage in elastic materials, based on a strain threshold, and then investigate the relationship between these threshold models and the energy-based models introduced in [17] and [15]. A somewhat surprising result is that, while classical solutions for the energy models are also threshold solutions, this is not the case for nonclassical solutions, ...