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Burgers' turbulence problem with linear or quadratic external potential

  • O. E. Barndorff-Nielsen (a1) and N. N. Leonenko (a2)

Abstract

We consider solutions of Burgers' equation with linear or quadratic external potential and stationary random initial conditions of Ornstein-Uhlenbeck type. We study a class of limit laws that correspond to a scale renormalization of the solutions.

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Copyright

Corresponding author

Postal address: Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, K-8000 Aarhus C, Denmark. Email address: oebn@imf.au.dk
∗∗ Postal address: Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK. Email address: leonenkon@cardiff.ac.uk

References

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