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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Nonlinear Partial Differential Equations
verfasst von : María Tomás-Rodríguez, Stephen P. Banks
Erschienen in: Linear, Time-varying Approximations to Nonlinear Dynamical Systems
Verlag: Springer London
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In this chapter we shall show how to generalise the results of the previous chapters on finite-dimensional nonlinear systems to partial differential equations. Rather than try to cover any significant part of this vast field, we shall concentrate on two problems, since the ideas then apply to many other nonlinear distributed systems. These two problems are concerned with moving boundaries in heat flow and the motion of solitary nonlinear waves (solitons).