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Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. (English) Zbl 0561.35065
The exponential decay of priodic solutions to one-dimensional equations describing the propagation of nonlinear waves is proved. The rate of decay is characterized by an eigenvalue of the operator of dissipation occuring in the equation.

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
35B40 Asymptotic behavior of solutions to PDEs
35B10 Periodic solutions to PDEs
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