Numerical Approximation of the Best Decay Rate for Some Dissipative Systems
نویسندگان
چکیده
منابع مشابه
Dissipative hyperbolic systems: asymptotic behavior and numerical approximation
According to the general theory of hyperbolic systems of balance laws, if the flux functions fα and the source term g are smooth enough, it is well-known that problem (1)-(2) has a unique local smooth solution, at least for some time interval [0, T ) with T > 0, if the initial data are also sufficiently smooth. In the general case, and even for nice initial data, smooth solutions may break down...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولNumerical Exponential Decay to Dissipative Bresse System
We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference method to prove the theoretical results. In particular, the finite difference method in our case is ...
متن کاملNearly a polynomial decay rate for the dissipative wave equation
The study of stabilization of the linear dissipative wave equation in a bounded domain with Dirichlet boundary condition is now an old problem. The exponential decay rate of the energy was established by Bardos, Lebeau and Rauch [ BLR] under a geometrical hypothesis linked with the geodesics. Furthermore such condition called geometric control condition is almost necessary to get a uniform expo...
متن کاملPolynomial decay rate for the dissipative wave equation
This paper is devoted to study the stabilization of the linear wave equation in a bounded domain damped in a subdomain when the geometrical control condition (see [ BLR]) of the work of C. Bardos, G. Lebeau and J. Rauch is not fulfilled. In such case, they [ BLR] proved that the uniform exponential decay rate of the energy cannot be hoped due to the existence of a trapped ray that never reaches...
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 Numerical Analysis
سال: 2019
ISSN: 0036-1429,1095-7170
DOI: 10.1137/17m1160057