TY - JOUR
T1 - On the rate of convergence to equilibrium in the Becker-Döring equations
AU - Jabin, Pierre Emmanuel
AU - Niethammer, Barbara
PY - 2003/7/1
Y1 - 2003/7/1
N2 - We provide an explicit rate of convergence to equilibrium for solutions of the Becker-Döring equations using the energy/energy-dissipation relation. The main difficulty is the structure of equilibria of the Becker-Döring equations, which do not correspond to a Gaussian measure, such that a logarithmic Sobolev-inequality is not available. We prove a weaker inequality which still implies for fast decaying data that the solution converges to equilibrium as e-ct1/3.
AB - We provide an explicit rate of convergence to equilibrium for solutions of the Becker-Döring equations using the energy/energy-dissipation relation. The main difficulty is the structure of equilibria of the Becker-Döring equations, which do not correspond to a Gaussian measure, such that a logarithmic Sobolev-inequality is not available. We prove a weaker inequality which still implies for fast decaying data that the solution converges to equilibrium as e-ct1/3.
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U2 - 10.1016/S0022-0396(03)00021-4
DO - 10.1016/S0022-0396(03)00021-4
M3 - Article
AN - SCOPUS:0038346787
SN - 0022-0396
VL - 191
SP - 518
EP - 543
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -