Abstract
The formation of multiple wave fronts is important in applications of singularly perturbed parabolic systems. These solutions can be effectively constructed by formal asymptotic methods. When truncated to a certain order in e, they become formal approximations of solutions to the given system. The precision of a formal approximation is judged by the smallness of the residual error in each regular and singular layer and the jump error between adjacent layers.
Research partially supported by NSF grant DMS9002803 and DMS9205535
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Lin, XB. (1996). Local and Global Existence of Multiple Waves Near Formal Approximations. In: Broer, H.W., van Gils, S.A., Hoveijn, I., Takens, F. (eds) Nonlinear Dynamical Systems and Chaos. Progress in Nonlinear Differential Equations and Their Applications, vol 19. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7518-9_18
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DOI: https://doi.org/10.1007/978-3-0348-7518-9_18
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