Global strong solutions to the 1D full compressible Navier--Stokes equations with temperature-dependent coefficients and vacuum AZZ35SDENN

URI	`m2://res/AZZ35SDENN`
Kind	preprint
Creators	Yachun Li, Peng Lu, Zhaoyang Shang
Date	2026-10-04
MSC	35-XX
Subjects	arxiv math.AP
Scope	in

Expressions

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

Item	Kind	Where	Source
Relative entropy identity	statement	lemma 3.1	arxiv
Strict Lyapunov inequality	statement	proposition 7.2	arxiv
2KPAFP60CT	definition	definition 2.1	arxiv
Global strong existence allowing initial vacuum	statement	theorem 2.2	arxiv
Elliptic recovery	statement	lemma 5.2	arxiv
Transport and parabolic estimates	statement	lemma 6.1	arxiv
Thermal anchor	statement	lemma 3.3	arxiv
Post-layer vacuum-compatible estimate	statement	proposition 4.5	arxiv
Finite-time continuation bound	statement	corollary 5.3	arxiv
Zlotnik	statement	lemma 3.4	arxiv
Vacuum-uniform initial-layer estimate	statement	proposition 4.3	arxiv
Material-derivative inequalities	statement	lemma 4.2	arxiv
Positive-density local solution and continuation	statement	lemma 6.2	arxiv
Instantaneous density coercivity	statement	lemma 7.1	arxiv
Flux anchor	statement	lemma 3.2	arxiv
Exponential relaxation and vacuum-layer sharpening	statement	theorem 2.3	arxiv
Nonlinear bookkeeping	statement	lemma 4.4	arxiv
Vacuum is transported	statement	proposition 7.3	arxiv
First material identities	statement	lemma 4.1	arxiv
Finite-time propagation of density derivatives	statement	lemma 5.1	arxiv