We establish an incompressible Navier-Stokes-Fourier limit for solutions to the Boltzmann equation (with a general collision kernel) considered over a bounded domain. Appropriately scaled families of DiPerna-Lions renormalized solutions with Maxwell reflection boundary conditions are shown to have fluctuations that converge as the Knudsen number ε goes to zero. Every limit point is a weak solut...

This work was performed at CTR during a month-long visit in May 1999. The data base analyzed comes from a simulation performed by Na and Moin (1998). Although the data from the simulations has been used in the study of the structure of the wall pressure Na and Moin (1998), an analysis of the mean flow had not been conducted to a great extent. The aim of this work is to investigate the near wall...

Based on the theory of multi-body system dynamics and the method of finite element and boundary element, the finite element model of vehicle body and the rigid-flexible coupled model of vehicle and the acoustic boundary element model of carriage were established by applying a variety of simulation software. Road roughness was simulated and the SPL of field point in carriage under the excitation...

We discuss several classes of linear second order initial-boundary value problems, where damping terms appear in the main wave equation as well as in the dynamic boundary condition. We investigate their wellposedness and describe some qualitative properties of their solutions, including boundedness, stability, or almost periodicity. In particular, we are able to characterize the analyticity of ...

Based on Hoff sandwich plate theory, an analytical method is proposed for predicting the loss factors of constrained damping layer. The application of the current approach in the engineering application of acoustic radiation optimization is examined. Numerical examples regarding isotropic sandwich plate with simply supported boundary conditions are carried out to demonstrate the accuracy and re...

We prove that exponential moments of a fluctuation the pure transport equation decay pointwisely almost as fast $t^{-3}$ when domain is any general strictly convex subset $\mathbb{R}^3$ with smooth boundary diffuse condition. theorem by establishing novel $L^1$-$L^\infty$ framework via stochastic cycles.

In this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. The effect of Coriolis and damping forces on the o...

We consider a three layer Rao-Nakra sandwich beam with damping proportional to shear included in the core layer. We prove that eigenvectors of the beam form a Riesz basis for the natural energy space. In the damped case, we are able to give precise conditions under which solutions decay at a uniform exponential rate. We also consider the problem of boundary control using bending moment and late...