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- W2186051539 abstract "laments which allows for characteristic boundary conditions. We will comment on the well posedness of the resulting model for small time assuming physically plausible initial conditions. Furthermore there will be some remarks made on possible gradient blow up within nite time. Moreover we have investigated a reduced system to understand the hyperbolic dynamics of the proposed model. We will demonstrate some interesting stability prtoperties of the resulting system of no more than 2 equations. In particular a genuine dierence is observed between linear and nonlinear stability indicating sensitivity to the shape and size of perturbations of the trivial steady state. Furthermore various types of long time behavior will be shown by numerical simulations. Finally we will comment on the existence of traveling wave solutions to the reduced model depending on the parameters. Some numerical results on traveling waves will also be presented." @default.
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- W2186051539 date "2007-01-01" @default.
- W2186051539 modified "2023-09-26" @default.
- W2186051539 title "On a Model for the Initiation of Cell Movement" @default.
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- W2186051539 hasPublicationYear "2007" @default.
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