We study a system coupling the incompressible Navier-Stokes equations in a 2D rectangular type domain with a damped Euler-Bernoulli beam equation, where the beam is a part of the upper boundary of the domain occupied by the fluid. Due to the deformation of the beam the fluid domain depends on time. We prove that this system is exponentially stabilizable, locally about the null solution, with an...

There exist problems in fuzzy finite element methods because technique of solving fuzzy equations is not perfect. For example, computation amount is too big and both sides of the equality are not exactly equal when solutions are substituted into the original equation. The concept of monosource fuzzy number is developed to simplify the calculation process of fuzzy equations. However the source o...

in this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

fuzzy liner systems of equations, play a major role in several applications in various area such as engineering, physics and economics. in this paper, we investigate the existence of a minimal solution of inconsistent fuzzy matrix equation. also some numerical examples are considered.

In this paper, we investigate the stability of linear wave equation where one part boundary, which is seen as a lower-dimensional Riemannian manifold, governed by coupled equation, while other subject to dissipative Robin velocity feedback. We prove that closed-loop equations generate semi-uniformly stable semigroup contractions on suitable energy space. Furthermore, under multiplier-related ge...

generalized resolvent equations; variational inclusions; algorithm; convergence; generalized pseudocontractive mapping