Global $BV$ Solutions for theP-System with Frictional Damping
نویسندگان
چکیده
منابع مشابه
Global BV Solutions for the P-System with Frictional Damping
We construct global BV solutions to the Cauchy problem for the damped p-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic profile, in which the specific volume satisfies the porous media equation and the velocity obeys the classical Darcy law for gas flow through a porous medium. Division of Applied Mathematics, Brown Universi...
متن کاملFrictional Damping of Rotational Motion
1. The photogate, connected with the Smart Timer was set across the Main Platter, with one strip of paper taped to block the photogateonce in every revolution. The photogate was set in the Time Fence. The mass of the Main Platter M(kg) and radius of the Main Platter and its pulleys were measured with mass balance and vernier callipers. Then a string, with one end tied to a hanger with a 100 g m...
متن کاملOn the Stabilization for Timoshenko System with Past History and Frictional Damping Controls
Abstract. In this paper, we consider vibrating system of Timoshenko type in one-dimensional bounded domain with complementary past history and frictional damping controls acting only in the equation for the rotation angle. We show that the dissipation given by this complementary controls is strong enough to guarantee the stability of the system in case of the same wave propagation speeds as wel...
متن کاملNumerical Approximation of P -systems with Coulomb Frictional Damping
The asymptotic behavior of dissipative hyperbolic systems is very sensitive to the precise nature of the dissipation. Dry (Coulomb) friction is a limit case that has not been fully analyzed, for instance with respect to the asymptotic time behavior of solutions. Examples of such a problem are given by simple models of granular materials in containers. A numerical approach for generic problems o...
متن کاملSystem identification of a beam with frictional contact
The nonlinear system becomes an area with numerous investigations over the past decades. The conventional modal analysis could not be applied on nonlinear continuous system which makes it impossible to construct the reduced order models and obtain system response based on limited number of measurement points. Nonlinear normal modes provide a useful tool for extending modal analysis to nonlinea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2009
ISSN: 0036-1410,1095-7154
DOI: 10.1137/080735126