Ting Peng

collaborators

3 papers

cond-mat.stat-mech2026

Strict Entropy Decrease of Clausius Entropy in an Isolated System with Energy-Form Conversion: Theoretical Proof, Numerical Illustration, and Critical Examination

Ting Peng

This paper is accountable only to explicitly stated physical assumptions and strict logical inference. Its goal is to run a rigorous stress test of second-law claims within the Cla…

math.AP2024

The extremal problem for weighted combined energy and $ρ -$ Nitsche type inequality

Ting Peng, Chaochuan Wang, Xiaogao Feng

Let $A_{1}$ and $A_{2}$ be two circular annuli and let $ρ$ be a radial metric defined in the annuli $A_{2}$ . We study the existence and uniqueness of the extremal problem for weighted co…

math.CV2024

The extremal problem for weighted combined energy and the generalization of Nitsche inequality

Xiaogao Feng, Ruyue Tang, Ting Peng

We consider the existence and uniqueness of a minimizer of the extremal problem for weighted combined energy between two concentric annuli and obtain that the extremal mapping is a…

Strict Entropy Decrease of Clausius Entropy in an Isolated System with Energy-Form Conversion: Theoretical Proof, Numerical Illustration, and Critical Examination

The extremal problem for weighted combined energy and ρ−Nitsche type inequality

The extremal problem for weighted combined energy and the generalization of Nitsche inequality

The extremal problem for weighted combined energy and $ρ -$ Nitsche type inequality