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6 papers · 1 filter
Balanced flux formulations for multidimensional Evans function computations for viscous shocks
Blake Barker, Jeffrey Humpherys, Gregory Lyng +1
The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is t…
Homogenization of the stochastic Navier-Stokes equation with a stochastic slip boundary condition
Hakima Bessaih, Florin Maris
The two dimensional Navier-Stokes equation in a perforated domain with a dynamical slip boundary condition is considered. We assume that the dynamic is driven by a stochastic pertu…
Continuous Data Assimilation with Stochastically Noisy Data
Hakima Bessaih, Eric Olson, E. S. Titi
We analyze the performance of a data-assimilation algorithm based on a linear feedback control when used with observational data that contains measurement errors. Our model problem…
Application of a conservative, generalized multiscale finite element method to flow models
Lawrence Bush, Victor Ginting, Michael Presho
In this paper we propose a method for the construction of locally conservative flux fields from Generalized Multiscale Finite Element Method (GMsFEM) pressure solutions. The flux v…
Computing the refined stability condition
Nicholas B. Anderson, Allison M. Lindgren, Gregory D. Lyng
The classical (inviscid) stability analysis of shock waves is based on the Lopatinski determinant, Δ---a function of frequencies whose zeros determine the stability of the underlyi…
Pointwise Green function bounds and stability of combustion waves
Gregory Lyng, Mohammadreza Raoofi, Benjamin Texier +1
Generalizing similar results for viscous shock and relaxation waves, we establish sharp pointwise Green function bounds and linearized and nonlinear stability for traveling wave so…