60 citations · 83 across the 14 of their papers we have counts for
18 papers
Perfectly Matched Layers on Cubic Domains forPauli's Equations
Laurence Halpern, Jeffrey Rauch
This article proves the well posedness of the boundary value problemthat arises when PML algorithms are applied to Pauli's equationswith a three dimensional rectangle as computatio…
A Discrete Algorithm for General Weakly Hyperbolic Systems
Ferruccio Colombini, Tatsuo Nishitani, Jeffrey Rauch
This paper studies the Cauchy problem for variable coefficient weakly hyperbolic first order systems of partial differential operators. The hyperbolicity assumption is that for eac…
Long Time Boundedness of Planar Jump Discontinuities for Homogeneous Hyperbolic Systems
Jeffrey Rauch
Suppose that is a homogeneous constant coefficient strongly hyperbolic partial differential operator on and is a characteristic h…
Crime Pays; Homogenized Wave Equations for Long Times
Grégoire Allaire, Agnes Lamacz, Jeffrey Rauch
This article examines the accuracy for large times of asymptotic expansions from periodic homogenization of wave equations. As usual, denotes the small period of the coefficien…
Convergence along mean flows
Thomas Holding, Harsha Hutridurga, Jeffrey Rauch
We develop a technique of multiple scale asymptotic expansions along mean flows and a corresponding notion of weak multiple scale convergence. These are applied to homogenize conve…
Weakly Hyperbolic Systems by Symmetrization
F. Colombini, T. Nishitani, J. Rauch
We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE.…