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Nonlocality-induced front interaction enhancement
nonlocal coupling spatial dynamics quantitative Nonlocality-induced
2011/7/6
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting
two equivalent states. In two prototype models we observe a large amplification in the interaction
strengt...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...