Maximum Principle for the Damped Boussinesq equation

نویسندگان

چکیده

In this paper, the optimal distributed control problem of an Damped Boussinesq equation is studied. Dubovitskii-Milyutin functional analytical approach formulated for obtaining necessary optimality condition in form Maximum principle system under consideration. Necessary presented fixed final horizon case.

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

Existence and blow-up of solution of Cauchy problem for the sixth order damped Boussinesq equation

‎In this paper‎, ‎we consider the existence and uniqueness of the global solution for the sixth-order damped Boussinesq equation‎. ‎Moreover‎, ‎the finite-time blow-up of the solution for the equation is investigated by the concavity method‎.

متن کامل

Cauchy Problem for the Sixth-order Damped Multidimensional Boussinesq Equation

In this article, we consider the Cauchy problem for sixth-order damped Boussinesq equation in Rn. The well-posedness of global solutions and blow-up of solutions are obtained. The asymptotic behavior of the solution is established by the multiplier method.

متن کامل

A Maximum Principle for Periodic Solutions of the Telegraph Equation

Let L s L u be a linear differential operator acting on functions u: V a R that are defined on a fixed manifold V. These functions will belong to a Ž . certain family B ; F V, R , and the definition of B may include some boundary conditions or other requirements that must be satisfied by any function u g B. It is said that L satisfies the maximum principle if the differential inequality L u G 0...

متن کامل

The Boussinesq equation revisited

The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented. © 2002...

متن کامل

Asymptotic Behavior of Solutions of the Damped Boussinesq Equation in Two Space Dimensions

The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long-time asymptotics is calculated explicitly and a uniform in space estimate of the residual term is given.

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: New trends in mathematical sciences

سال: 2022

ISSN: ['2147-5520']

DOI: https://doi.org/10.20852/ntmsci.2022.495