For the exterior Burgers problem in dimensions n≥4, the paper proves nonlinear stability of the stationary wave for the full existence range v+<0, v_- ≤ |v_+| + μ(n-1)/r0, with algebraic and exponential convergence rates.
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Asymptotics of Radially Symmetric Solutions for the Exterior Problem of Multidimensional Burgers Equation
For the exterior Burgers problem in dimensions n≥4, the paper proves nonlinear stability of the stationary wave for the full existence range v+<0, v_- ≤ |v_+| + μ(n-1)/r0, with algebraic and exponential convergence rates.