Nonlinear enhanced dissipation in viscous Burgers type equations II

Research output: Contribution to journalArticlepeer-review


In this follow up but self contained paper, we focus on the viscous Burgers equation. There, using the Hopf-Cole transformation, we compute the long time behavior of solutions for some classes of infinite mass initial datas. We show that an enhanced dissipation effect occurs generically, that is the decay rate in time is better than if we considered instead the heat equations for the same inital value. We also show the existence of a kind of global attractor per class.

Original languageEnglish (US)
Pages (from-to)1286-1322
Number of pages37
JournalCommunications in Partial Differential Equations
Issue number10-12
StatePublished - 2023


  • asymptotic profiles
  • nonlinear analysis
  • self similar transformations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


Dive into the research topics of 'Nonlinear enhanced dissipation in viscous Burgers type equations II'. Together they form a unique fingerprint.

Cite this