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Radially symmetric stationary wave for two-dimensional Burgers equation

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  • We are concerned with the radially symmetric stationary wave for the exterior problem of two-dimensional Burgers equation. A sufficient and necessary condition to guarantee the existence of such a stationary wave is given and it is also shown that the stationary wave satisfies nice decay estimates and is time-asymptotically nonlinear stable under radially symmetric initial perturbation.

    Mathematics Subject Classification: Primary: 35A01; Secondary: 35B40, 35K59, 37K40.


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