Global Existence and Partial Regularity for the Three-Dimensional Chemotaxis--Navier--Stokes System in a Half-Space 3HCT4TQ5PM

URI	`m2://res/3HCT4TQ5PM`
Kind	preprint
Creators	Yubo Chen, Jianbo Yu
Date	2026-10-09
MSC	35-XX
Subjects	arxiv math.AP
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-09
Ids	arXiv 2610.13613

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
1NSHAETMR9	statement	lemma 2.2	arxiv
Main theorem: dissipation criterion	statement	theorem 1.2	arxiv
Size of the full singular set	statement	corollary 1.3	arxiv
Positive remaining mass	statement	lemma 8.4	arxiv
Large-time decay and Gaussian asymptotics	statement	theorem 1.7	arxiv
Mass identities and a positive signal mass	statement	lemma 8.1	arxiv
Decay of the velocity	statement	lemma 8.2	arxiv
8F4J55V699	statement	lemma 2.1	arxiv
Neumann heat asymptotics and divergence remainders	statement	lemma 8.5	arxiv
Eventual strong regularity of the velocity	statement	lemma 7.5	arxiv
Caloric decay compatible with the flat boundary	statement	lemma 2.5	arxiv
Uniform local pressure estimate away from the initial time	statement	proposition 3.3	arxiv
Scalar decay at the heat scale	statement	lemma 8.3	arxiv
Suitable weak solutions in the half-space	definition	definition 1.1	arxiv
Eventual scalar estimates	statement	lemma 7.3	arxiv
Boundary-compatible velocity smoothing	statement	lemma 3.1	arxiv
Lower-order criterion with bounded density mass	statement	proposition 1.5	arxiv
Finite-energy selection	statement	lemma 7.2	arxiv
E2K9GR1D50	statement	corollary 4.2	arxiv
Regular and singular points	definition	definition 1.2	arxiv
Uniform entropy-energy estimate with explicit time dependence	statement	proposition 3.2	arxiv
FQPMJRPZKT	statement	lemma 4.4	arxiv
G1YJ0F7EMV	statement	corollary 4.1	arxiv
G2YDY3WVD5	statement	lemma 4.2	arxiv
Heat potentials in mixed norms	statement	lemma 2.4	arxiv
KBPMNNBVMK	statement	corollary 6.2	arxiv
KQGMWW9RJ9	statement	corollary 6.1	arxiv
MMEJYDW3FH	statement	lemma 4.3	arxiv
Time-integrable density gradient and effective force	statement	lemma 7.4	arxiv
Energy and pressure criterion	statement	proposition 1.4	arxiv
Small-mass criterion in mixed norms	statement	theorem 5.1	arxiv
Global half-space existence	statement	theorem 1.1	arxiv
Eventual regularity in the half-space	statement	theorem 1.6	arxiv
V40V68884P	statement	lemma 4.1	arxiv
The scalar Gaussian profiles	statement	lemma 8.6	arxiv
Pressure estimate at the exponent $5/3$	statement	corollary 4.3	arxiv
Global strong solvability of the regularized problem	statement	proposition 3.1	arxiv
WFWBA2PM2S	statement	lemma 2.3	arxiv
The final scalar--fluid regularity bootstrap	statement	lemma 7.6	arxiv
A drift-independent signal estimate	statement	lemma 7.1	arxiv
Local energy inequality for the approximation	statement	lemma 3.2	arxiv

Catalogue records

arxiv: 2610.13613 (work)
arxiv_text: 2610.13613 (work)