On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
نویسندگان
چکیده
منابع مشابه
The Wave Equation in Non-classic Cases: Non-self Adjoint with Non-local and Non-periodic Boundary Conditions
In this paper has been studied the wave equation in some non-classic cases. In the rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two ...
متن کاملBurgers Equation with Random Boundary Conditions
We prove an existence and uniqueness theorem for stationary solutions of the inviscid Burgers equation on a segment with random boundary conditions. We also prove exponential convergence to the stationary distribution.
متن کاملBoundary Control of the Forced Viscous Burgers Equation
In this paper, the control problem of the forced Burgers equation: ∂u ∂t = ν ∂2u ∂x2 − u ∂u ∂x +mu+ f(x), 0 < x < 2π, t > 0 subject to Neumann boundary conditions: ∂u ∂x (0, t) = ũ1(t), ∂u ∂x (2π, t) = ũ2(t) t > 0. and the initial condition: u(x, 0) = u0(x), x ∈ (0, 2π) t > 0, where ν is a positive constant, the parameter m ∈ IR, and ũ1(t), ũ2(t) are two control inputs is considered. We show th...
متن کاملA structurally damped plate equation with Dirichlet-Neumann boundary conditions
We investigate sectoriality and maximal regularity in L-LSobolev spaces for the structurally damped plate equation with DirichletNeumann (clamped) boundary conditions. We obtain unique solutions with optimal regularity for the inhomogeneous problem in the whole space, in the half-space, and in bounded domains of class C. It turns out that the first-order system related to the scalar equation on...
متن کاملDerive boundary conditions for holistic discretisations of Burgers’ equation
I previously used Burgers’ equation to introduce a new method of numerical discretisation of pdes. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models all the processes and their subgrid scale interactions. Here I show how boundaries to the physical domain may be naturally incorporated into the numerical modelling of Burgers’ equation. W...
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: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2019
ISSN: 0308-2105,1473-7124
DOI: 10.1017/prm.2019.11