Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some 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 کامل

Uniform controllability of a transport equation in zero diffusion - dispersion limit ∗

In this paper, we consider the controllability of a transport equation perturbed by small diffusion and dispersion terms. We prove that for a sufficiently large time, the cost of the null-controllability tends to zero exponentially as the perturbation vanishes. For small times, on the contrary, we prove that this cost grows exponentially.

متن کامل

On the non-uniform null controllability of a linear KdV equation

In this paper we consider a linear KdV equation with a transport term posed on a finite interval with the boundary conditions considered by Colin and Ghidaglia. The main results concern the behavior of the cost of null controllability with respect to the dispersion coefficient when the control acts on the left endpoint. In particular, for any final time we prove that this cost grows exponential...

متن کامل

Exact boundary controllability of the linear advection equation

The advection equation is used to model the transport of material whose mass is conserved. If the vector field governing the advection is divergence-free, then the advection equation reduces to the usual transport equation which is used to model linear diffusion processes such as transport of neutrons, scattering of light and propagation of -rays in a scattering medium [1]. The uncontrolled adv...

متن کامل

Exact controllability of the superlinear heat equation

In this paper, we consider the controllability of a semilinear heat equation with a nonlinearity that has a superlinear growth at infinity with Dirichlet boundary conditions in a bounded domain of RN . The proof of the main result in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments.

متن کامل

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: PAMM

سال: 2007

ISSN: 1617-7061,1617-7061

DOI: 10.1002/pamm.200701006