Results 11 to 20 of about 160,425 (302)

Traveling wave fronts and the transition to saturation [PDF]

Physical Review D, 2003
We propose a general method to study the solutions to nonlinear QCD evolution equations, based on a deep analogy with the physics of traveling waves. In particular, we show that the transition to the saturation regime of high energy QCD is identical to ...
A. Kolmogorov, A. Kovner, A. Kovner, A.H. Mueller, A.H. Mueller, A.M. Staśto, D.N. Triantafyllopoulos, E. Brunet, E. Ferreiro, E. Iancu, E. Iancu, E. Iancu, E. Iancu, E. Levin, E. Levin, E. Levin, E.A. Kuraev, H. Weigert, I. Balitskiĭ, I.I. Balitskiĭ, L. McLerran, L. McLerran, L. McLerran, L.N. Lipatov, L.V. Gribov, M. Bramson, R. Peschanski, R. Venugopalan, R.A. Fisher, S. Munier, S. Munier, W. van Saarloos, Y.V. Kovchegov, Y.V. Kovchegov, Y.V. Kovchegov   +34 more
core   +2 more sources

Traveling wave front solutions in lateral-excitatory neuronal networks [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2008
In this paper, we discuss the shape of traveling wave front solutions to a neuronal model with the connection function to be of lateral excitation type. This means that close connecting cells have an inhibitory influence, while cells that aremore distant
Sittipong Ruktamatakul, Pornpis Yimprayoon   +1 more
doaj   +1 more source

Invading and Receding Sharp-Fronted Travelling Waves [PDF]

Bulletin of Mathematical Biology, 2021
Biological invasion, whereby populations of motile and proliferative individuals lead to moving fronts that invade into vacant regions, are routinely studied using partial differential equation (PDE) models based upon the classical Fisher--KPP model.
Maud El-Hachem, Scott W. McCue, Matthew J. Simpson   +2 more
openaire   +4 more sources

Traveling wave fronts and localized traveling wave convection in binary fluid mixtures [PDF]

Physical Review E, 2005
46 pages, 11 figures. Accepted for publication in Phys.
Jung, D., Luecke, M.
openaire   +3 more sources

STABILITY OF TRAVELING WAVE FRONTS FOR NONLOCAL DIFFUSIVE SYSTEMS

Journal of Applied Analysis & Computation, 2021
This paper is concerned with stability of traveling wave fronts for nonlocal diffusive system. We adopt [Formula: see text]-weighted, [Formula: see text]- and [Formula: see text]-energy estimates for the perturbation systems, and show that all solutions of the Cauchy problem for the considered systems converge exponentially to traveling wave fronts ...
Yanling Meng, Zhixian Yu, Shengqiang Zhang   +2 more
openaire   +2 more sources

Teleseismic P waves at the AlpArray seismic network: wave fronts, absolute travel times and travel-time residuals [PDF]

Solid Earth, 2020
Abstract. We present an extensive dataset of highly accurate absolute travel times and travel-time residuals of teleseismic P waves recorded by the AlpArray Seismic Network and complementary field experiments in the years from 2015 to 2019. The dataset is intended to serve as the basis for teleseismic travel-time tomography of the upper mantle below ...
Paffrath, M., Friederich, W., the AlpArray and AlpArray-SWATH D Working Groups   +2 more
openaire   +6 more sources

Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation

Journal of Nonlinear Science, 2023
AbstractReaction-nonlinear diffusion partial differential equations can exhibit shock-fronted travelling wave solutions. Prior work by Li et al. (Physica D 423:132916, 2021) has demonstrated the existence of such waves for two classes of regularizations, including viscous relaxation (see Li et al. in Physica D 423:132916, 2021).
Lizarraga, Ian, Marangell, Robert
openaire   +2 more sources

Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation [PDF]

Applied Mathematics Letters, 2021
A family of travelling wave solutions to the Fisher-KPP equation with speeds $c=\pm 5/\sqrt{6}$ can be expressed exactly using Weierstrass elliptic functions. The well-known solution for $c=5/\sqrt{6}$, which decays to zero in the far-field, is exceptional in the sense that it can be written simply in terms of an exponential function. This solution has
Scott W. McCue, Maud El-Hachem, Matthew J. Simpson   +2 more
openaire   +4 more sources

Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation

Advances in Mathematical Physics, 2022
In the presented paper, a generalized nonlinear Schr o dinger equation without delay convolution kernel and with special delay convolution kernel is investigated. By using the geometric singular perturbation theory, the existence of traveling wave fronts is proved ...
Yuanhua Lin, Liping He
openaire   +2 more sources

From periodic travelling waves to travelling fronts in the spike–diffuse–spike model of dendritic waves [PDF]

Mathematical Biosciences, 2001
In the vertebrate brain excitatory synaptic contacts typically occur on the tiny evaginations of neuron dendritic surface known as dendritic spines. There is clear evidence that spine heads are endowed with voltage-dependent excitable channels and that action potentials invade spines.
openaire   +2 more sources