A system of waves coupled by three-wave, or triad, interactions is considered. A model is constructed to describe the response of a single test wave to interaction with a "heat bath" of "ambient waves." An exact solution for the relaxation of the test wave amplitude is obtained. Regimes of validity are shown for the use of a Langevin equation based on a two-time scale perturbation theory.

Planckian scattering of particles with angular momenta is studied by describing them as sources of Kerr metric. In the shock wave formalism, it is found that the angular momenta do not contribute to the scattering amplitude in the eikonal limit. This is confirmed by using the wave equation of the test particle in the Kerr background. Typeset using REVTEX E-Mail: saurya,[email protected] 1

We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methods are used for time discretizations. The fully discrete schemes are validated by direct comparisons to analytic solutions. Invariants conservation properties are also studied. M...

We consider a L-contraction (a L-type stability) of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function, depending both on the time and space variables, solves a viscous HamiltonJacobi equation with source terms. We consider a suitably small L-perturbation around a viscous planar shock wave with arbitrarily large stren...

objective: dendritic cells (dcs) are essential for the activation and polarization of t cells during an adaptive immune response. in this research we investigated the effect of the lymphoide dcs pulsed with heat-treated tumor lysate (htl) as a vaccine in tumor immunotherapy. materials and methods: the balb/c mice were injected subcutaneously in the right flank with wehi-164 fibrosarcoma cells ...

We consider the weakly dissipative and weakly dispersive Burgers-Hopf-Korteweg-de-Vries equation with the diffusion coefficient ε and the dispersion rate δ in the range δ/ε → 0. We study the travelling wave connecting u(−∞) = 1 to u(+∞) = 0 and show that it converges strongly to the entropic shock profile as ε, δ → 0. Key-words Travelling waves, moderate dispersion, Korteweg de Vries equation, ...

We analyze the discretization of initial and boundary value problems with a stationary interface in one space dimension for the heat equation, the Schrödinger equation, and the wave equation by finite difference methods. Extending the concept of the elliptic projection, well known from the analysis of Galerkin finite element methods, to our finite difference case, we prove second-order error es...

We consider a stochastic Klein-Gordon wave equation modeling heat flow in a linear field that is coupled to thermal reservoirs at different temperatures. We discuss, in a perturbative context, the approach to a stationary, non-equilibrium state, and show that the state is supported on field configurations which are Hölder continuous, with any exponent less than 1/2. We determine the heat flux t...

We calculate the equation of state of dense deuterium with two ab initio simulation techniques, path integral Monte Carlo and density functional theory molecular dynamics, in the density range of 0.67 < or = rho < or = 1.60 g cm(-3). We derive the double shock Hugoniot and compare with the recent laser-driven double shock wave experiments by Mostovych et al. [Phys. Rev. Lett. 85, 3870 (2000)]. ...