
The Koopman decomposition of the Burgers' flow is explicitly derived, the frequencies and the coefficients of this decomposition are identified as eigenvalues and eigenfunctionals of the Koopman operator, and the convergence of the Koopman decomposition is proven for $tg0$ for small Cauchy data, and up to $t=0$ for regular Cauchy data.
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 6 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
