The main goal of the paper is to define and use a condition sufficient choose unique solution conservation law systems with singular measure in initial data. Different approximations can lead solutions different distributional limits. new notion called backward energy then single out proper approximation definition based on maximal dissipation defined Dafermos (J Differ Equ 14:202–212, 1973). S...

wear is a complicated phenomenon caused by the relative movement of two contacting surfaces compressed together by a normal force. prediction of the wear, in most cases, requires various experiments and microstructural characterization of the contacting surfaces. mathematical models based on physical concepts could provide considerable help in understanding the physical behavior and hence the p...

nowadays, the application of floating breakwaters in small or recreational harbors has found more popularity. these types of breakwaters are more flexible in terms of design, configuration and especially installation compared with fixed breakwaters. in the current study, the performance of floating breakwater (fbs) under regular waves was studied using the physical modeling method. for the mode...

In the framework of the stochastic dynamics of open Markov systems, we derive an extension of the Clausius inequality for transitions between states of the system. We give a formula for the power produced when the system is in its stationary state and relate it to the dissipation of energy needed to maintain the system out of equilibrium. We deduce that, near equilibrium, maximal power producti...

building pounding occurs between two adjacent buildings with small gap or without sufficient separation distance. it leads to damage buildings during earthquake due to impact. many researchers have investigated building pounding based on impact force reduction and energy dissipation increase, when two buildings collide with each other. in numerical investigations, using specific link element, i...

When contacting elastic systems are subjected to periodic loading, frictional slip occurs resulting in energy dissipation. Here we investigate the effect of the relative phase of harmonically varying tangential and normal loads on the frictional dissipation in a very simple uncoupled frictional system. We demonstrate that this effect is substantial when the system experiences periods of separat...

A stochastic system under the influence of a stochastic environment will become correlated with both present and future states of the environment. Such a system can be seen as a predictive model of future environmental states. The non-predictive model complexity in such a model has been shown in a recent paper to be fundamentally equivalent to thermodynamic dissipation. In this dissertation, th...

abstract in this study, the effect of suspended load transport on the characteristics of submerged hydraulic jump (shj) in a rectangular channel was investigated experimentally. sediment concentration and jet froude numbers in the range of 0.424%-16.15% and 1.93-4.96, respectively, were considered. tow grain size 0.15 and 0.03 mm were used in the experiments. characteristics of submerged hydrau...

Oscillation is an important cellular process that regulates timing of different vital life cycles. However, in the noisy cellular environment, oscillations can be highly inaccurate due to phase fluctuations. It remains poorly understood how biochemical circuits suppress phase fluctuations and what is the incurred thermodynamic cost. Here, we study three different types of biochemical oscillatio...