Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. (English) Zbl 0561.35065

Biler, Piotr

Bull. Pol. Acad. Sci., Math. 32, 401-405 (1984).

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

Keywords:

dissipative equations of Koreteweg-de Vries-Burgers type; exponential decay; priodic solutions; propagation of nonlinear waves