Approach to equilibrium for a forced Burgers equation

Abstract.

We show that approach to equilibrium in certain forced Burgers equations is implied by a decay estimate on a suitable intrinsic semigroup estimate, and we verify this estimate in a variety of cases including a periodic force.

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Received February 26, 2001; accepted April 9, 2001.

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Kirsch, W., Simon, B. Approach to equilibrium for a forced Burgers equation. J.evol.equ. 1, 411–419 (2001). https://doi.org/10.1007/PL00001380

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Keywords

  • Burger Equation
  • Decay Estimate
  • Periodic Force
  • Semigroup Estimate
  • Forced Burger Equation