Some Controllability Results for Linear Viscoelastic Fluids
نویسندگان
چکیده
منابع مشابه
Mathematical Results for Some Models of Viscoelastic Fluids
We give a short survey of several results concerning mathematical analysis of models describing flows of incompressible rate type fluids. After recalling the system of governing equations, we first present the result of P.-L. Lions and N. Masmoudi [4] about global existence of solution to a special case of Oldroyd model. Then we present results of F.-H. Lin, C. Liu and P. Zhang [3] and Y. Chen ...
متن کاملPartial exact controllability for the linear thermo-viscoelastic model
The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness method, the result of partial exact controllability is obtained with Dirichlet boundary controls actin...
متن کاملSome exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit
In this paper, we deal with controllability properties of linear and nonlinear Korteweg–de Vries equations in a bounded interval. The main part of this paper is a result of uniform controllability of a linear KdV equation in the limit of zero-dispersion. Moreover, we establish a result of null controllability for the linear equation via the left Dirichlet boundary condition, and of exact contro...
متن کاملProbing linear and nonlinear microrheology of viscoelastic fluids
Bulk rheological properties of viscoelastic fluids have been extensively studied in macroscopic shearing geometries. However, little is known when an active microscopic probe is used to locally perturb them far from the linear-response regime. Using a colloidal particle dragged periodically by scanning optical tweezers through a viscoelastic fluid, we investigate both, its linear and nonlinear ...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
ذخیره 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 Control and Optimization
سال: 2012
ISSN: 0363-0129,1095-7138
DOI: 10.1137/100813592