In this paper, we study the global exisitence of L∞ weak entropy solution to the initial boundary value problem for compressible Euler equations with relaxtion and the large time asymptotic behavior of the solution. Motivated by the sub-characterisitic conditions, we proposed some structural conditions on the relaxation term comparing with the pressure function. These conditions are proved to b...

Starting from a master equation in a quantum Hamilton form we study analytically a nonequilibrium system which is coupled locally to two heat bathes at different temperatures. Based on a lattice gas description an evolution equation for the averaged density in the presence of a temperature gradient is derived. Firstly, the case is analysed where a particle is removed from a heat bath at a fixed...

We consider partitioned time integration for heterogeneous coupled heat equations. First and second order multirate, as well time-adaptive Dirichlet-Neumann Waveform relaxation (DNWR) methods are derived. In 1D implicit Euler integration, we analytically determine optimal parameters the fully discrete scheme. test robustness of on multirate method in 2D. DNWR is shown to be very robust consiste...

We numerically solve the transport equations for a quark gas described by the the Nambu–Jona-Lasinio model. The mean field equations of motion, which consist of the Vlasov equation for the density and the gap equation for the mean field, are discussed, and energy and momentum conservation are proven. Numerical solutions of the partial differential equations are obtained by applying finite diffe...

Objective To evaluate the effectiveness of interventional package on the level of anxiety, depression, and fatigue. Methods The study was conducted in room no. 5, first floor, B Block, Department of Radiotherapy, Nehru Hospital, Postgraduate Institute of Medical Education and Research, Chandigarh Quasi experimental pretest-posttest design was used in the study. A total of 60 patients receivin...

We numerically solve the transport equations for a quark gas described by the the Nambu{Jona-Lasinio model. The mean eld equations of motion, which consist of the Vlasov equation for the density and the gap equation for the mean eld, are discussed, and energy and momentum conservation are proven. Numerical solutions of the partial di erential equations are obtained by applying nite di erence me...

1. Muscle fibres may be subdivided into type I (with slow-twitch contractile properties) and type II (fast-twitch) depending on their myosin adenosine triphosphatase activity. In voluntary isometric contractions type I fibres are utilized at low forces (less than 20% of maximum) whereas type II fibres are recruited in addition at high forces. This physiological recruitment order has enabled us ...