Non-classical shocks and kinetic relations: scalar conservation laws

BT Hayes, PG LeFloch - Archive for Rational Mechanics and Analysis, 1997 - Springer
This paper analyzes the non-classical shock waves which arise as limits of certain diffusive-dispersive
approximations to hyperbolic conservation laws. Such shocks occur for non-…

Measure solutions to a strictly hyperbolic system of conservation laws

BT Hayes, PG LeFloch - Nonlinearity, 1996 - iopscience.iop.org
We study a system of two conservation laws which is strictly hyperbolic, but not genuinely
nonlinear. We solve the Riemann problem for the inviscid system in a unique way and find …

Nonclassical shocks and kinetic relations: strictly hyperbolic systems

BT Hayes, PG LeFloch - SIAM Journal on Mathematical analysis, 2000 - SIAM
We consider strictly hyperbolic systems of conservation laws whose characteristic fields are
not genuinely nonlinear, and we introduce a framework for the nonclassical shocks …

Nonclassical shocks and kinetic relations: Finite difference schemes

BT Hayes, PG Lefloch - SIAM journal on numerical analysis, 1998 - SIAM
We consider hyperbolic systems of conservation laws that are not genuinely nonlinear. The
solutions generated by diffusive-dispersive regularizations may include nonclassical (nc) …

Maximum drawdowns of hedge funds with serial correlation

BT Hayes - The Journal of Alternative Investments, 2006 - search.proquest.com
Maximum drawdown, the maximum peak-to-trough loss in net asset value (NAV), is a widely-used
risk measure among alternative investment investors. Analogous to value-at-risk, α-…

A nonconvex scalar conservation law with trilinear flux

BT Hayes, M Shearer - Quarterly of Applied Mathematics, 2001 - JSTOR
The focus of this paper is on traveling wave solutions of the equation ut + f(u)x = ∊uxx + ∊²γuxxx,
in which the flux function f is trilinear and nonconvex. In particular, it is shown that for …

Stability of solutions to a destabilized Hopf equation

BT Hayes - Communications on Pure and Applied Mathematics, 1995 - Wiley Online Library
… Furthermore the graph of u(x, t ) tends to that of a sawtooth function. … where t+b
represents a small phase shift of W(x), with @(O) = 0. We also assume that vo(x), defined by …

Plane shear waves under a periodic boundary disturbance in a saturated granular medium

BT Hayes, DG Schaeffer - Physica D: Nonlinear Phenomena, 1998 - Elsevier
We study an initial-boundary value problem for a fully nonlinear system which describes the
propagation of plane shear waves in a three-dimensional soil, assuming a hypoplastic flow …

Stress-controlled shear waves in a saturated granular medium

BT HAYES, DG SCHAEFFER - European Journal of Applied …, 2000 - cambridge.org
We study plane shear waves in a continuum model for a saturated soil, assuming a hypoplastic
flow rule. Following an earlier paper on velocity-controlled waves [1], we now specify a …

On the market-timing ability of factor-based hedge fund clones

BT Hayes - The Journal of Alternative Investments, 2012 - search.proquest.com
Hedge fund clones systematically mimic features of hedge fund returns. The author
constructs clones of hedge fund indexes using several factor models and estimation intervals. …