Local Exact Controllability to the Trajectories of Burgers–Fisher Equation
نویسندگان
چکیده
منابع مشابه
Local exact controllability for Berger plate equation
We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler-Bernoulli system is exactly controllable. In particular, for rectangular domains we obtain that the Berger system is locally exactly controllable in arbitr...
متن کاملExact Controllability to the Trajectories of the Heat Equation with Fourier Boundary Conditions: the Semilinear Case
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y ∂n + f(y) = 0. We consider distributed controls, with support in a small set. The null controllability of similar linear systems has been analyzed in a previous first part of this work. In this...
متن کاملExact Controllability to the Trajectories of the Heat Equation with Fourier Boundary Conditions: the Semilinear
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y ∂n + f(y) = 0. We consider distributed controls, with support in a small set. The null controllability of similar linear systems has been analyzed in a previous first part of this work. In this...
متن کاملExact 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 کاملLocal Exact Controllability to the Trajectories of the Navier-stokes System with Nonlinear Navier-slip Boundary Conditions
Abstract. In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time T > 0. Then, fixed point arguments lead to the dedu...
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: Mathematical Problems in Engineering
سال: 2020
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2020/4085354