Results 111 to 120 of about 1,316 (127)

Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary

SIAM Journal on Mathematical Analysis, 2021
The authors study the existence and behavior of the global solution to the free boundary value problem for the following nonlinear Patlak-Keller-Segel system: \[ \left\{ \begin{aligned} &\rho_t = \Delta \rho^m - \nabla \cdot (\rho \nabla c), \quad \mathbf{x} \in \Omega, ~ t \geq 0,\\ &-\Delta c = \rho, \end{aligned} \right.
Li, Hai-Liang, Perthame, Benoít, Wen, Xinmei   +2 more
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Long-Time Asymptotics of Kinetic Models of Granular Flows

Archive for Rational Mechanics and Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LI H., TOSCANI, GIUSEPPE
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Long time asymptotics for the shrinking wiener sausage

Communications on Pure and Applied Mathematics, 1990
Let \((Z_ t\); \(t\geq 0)\) be the Brownian motion in \({\mathbb{R}}^ d\) (d\(\geq 2)\) and let \(W^{\rho (.),C}\) be the shrinking Wiener sausage given by \(W_ s^{\rho (s),C}=\cup_{0\leq u\leq s}Z_ u-\rho (s)C,\) where C is a nonpolar compact set in \({\mathbb{R}}^ d\) and \(\rho\) is a non-negative bounded function such that, for \(d\geq 3\), \(\rho (
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Random Holonomy for Yang–Mills Fields: Long-Time Asymptotics

Potential Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Long-time asymptotics of the mean-field magnetohydrodynamics equation

Journal of Physics A: Mathematical and General, 2001
Summary: It is shown that a magnetic field satisfying the mean-field magnetohydrodynamics equation with zero mean velocity and without energy input from the outside possesses a Lyapunov function, which is a combination of magnetic energy and helicity. As a consequence, if the mean magnetic field remains uniformly bounded for all time, the field tends ...
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LONG-TIME ASYMPTOTICS FOR DIFFUSING CLUSTERS WITH POISSON GROWTH STATISTICS

Fractals, 1996
Long-time asymptotics for the mean square displacement of diffusing fractal clusters, masses of which randomly grow according to the Poisson statistics, is proven to be a power function of time with the prefactor and exponent depending explicitly upon the fractal dimension of clusters.
Łuczka, Jerzy, Rudnicki, Ryszard
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Long Time Asymptotics for Quantum Particles in a Periodic Potential

Physical Review Letters, 1996
Summary: We study a quantum particle in a periodic potential and subject to slowly varying electromagnetic potentials. It is proved that, in the Heisenberg picture, the scaled position operator \(\epsilon \mathbf x(\epsilon^{-1}t)\) has a limit as \(\epsilon\to 0\).
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LONG TIME ASYMPTOTICS FOR THE SEMICONDUCTOR VLASOV–POISSON–BOLTZMANN EQUATIONS

Mathematical Models and Methods in Applied Sciences, 2001
In this paper we analyze the long time behavior of solutions to the one-dimensional Vlasov–Poisson–Boltzmann (VPB) equations for semiconductors in unbounded domains when only one type of carriers (electrons) are considered. We prove that the distribution of electrons tends for large times to a steady state of the VPB equations with vanishing collision
Carpio, A., Cebrian, E., Mustieles, F. J.   +2 more
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Rigorous Derivation of the Long-Time Asymptotics for Reversible Binding

Physical Review Letters, 2000
Using an iterative solution in Laplace-Fourier space, we supply a rigorous mathematical proof for the long-time asymptotics of reversible binding in one dimension. The asymptotic power law and its concentration dependent prefactor result from diffusional and many-body effects which, unlike for the corresponding irreversible reaction and in classical ...
, Gopich, , Agmon
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