On the finite time singularities for a class of Degasperis–Procesi equations
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DOI: 10.1016/j.nonrwa.2018.04.005
Abstract: Abstract As we all know, the conservation laws take an important part in deriving wave breaking for Degasperis–Procesi (DP) type equation. In the article, we give a new method to study singularities in finite time… read more here.
Keywords: class; degasperis procesi; finite time; time singularities ... See more keywords
Shi-type estimates and finite time singularities of flows of G2 structures
Sign Up to like & getrecommendations! Published in 2017 at "Quarterly Journal of Mathematics"
DOI: 10.1093/qmath/hax060
Abstract: In this paper, we extend Lotay-Wei's Shi-type estimate from Laplacian flow to more general flows of G$_2$ structures including the modified Laplacian co-flow. Then we prove a version of $\kappa$-non-collapsing theorem. We will use both… read more here.
Keywords: finite time; shi type; type estimates; flows structures ... See more keywords