Hyperbolic systems often have relaxation terms that give them a partially conservative form and that lead to a long-time behavior governed by reduced systems that are parabolic in nature. In this article it is shown by asymptotic analysis and numerical examples that semidiscrete high resolution methods for hyperbolic conservation laws fail to capture this asymptotic behavior unless the small re...

In this article, we use a generalized system of differential equations fractional-order to incorporate memory into an electricity market model. By using idea, essential information from the past, such as behavior participants, namely, suppliers and consumers, can be used have impact on future decisions. We construct dynamical model, study its solutions, provide closed formulas solutions. Finall...

conclusions the patient reported that he did not feel pain or discomfort throughout the intervention. follow-up visits performed after one, three, six, twelve, and sixteen months demonstrated vitality of the tooth the absence of complications, as well as good esthetic results. laser technology may be used in the treatment of traumatic anterior teeth injury with advantages in terms of quality of...

a 3-year-old holstein-friesian cow was evaluated because of sudden onset of right hind limb lameness and pain with fetlock swelling for 2 days. based on the history, clinical index scores and computed radiographic examinations, the case was accurately diagnosed to be a severely comminuted fracture of the proximal phalanx. this cow was assigned for conservative treatment with external coaptation...

ummary: Intermittent methohexitone for conservative dentistry has been shown to cause clinically undetectable respiratory obstruction, depression of the laryngeal reflex, and arterial hypoxaemia. Because of the pronounced decrease in total peripheral resistance, the blood pressure was maintained only by large increases in cardiac output. Furthermore, the output of the heart could not increase w...