REVIEW 1 cited by
Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We consider the 3D Boltzmann equation with the constant collision kernel. We investigate the well/ill-posedness problem using the methods from nonlinear dispersive PDEs. We construct a family of special solutions, which are neither near equilibrium nor self-similar, to the equation, and prove that the well/ill-posedness threshold in $H^{s}$ Sobolev space is exactly at regularity $s=1$, despite the fact that the equation is scale invariant at $s=\frac{1}{2}$.
Forward citations
Cited by 1 Pith paper
-
Local well-posedness for the periodic Boltzmann equation with constant collision kernel
The periodic Boltzmann equation with constant collision kernel is locally well-posed in L^{2,r}_v H^s_x for s > d/2 − 1/4 and r > d/2.
Discussion (0). Continue with ORCID to comment.