Work

Long‐Time H1‐Stability of the Cauchy One‐Leg θ‐Method for the Navier‐Stokes Equations

Year: 2026

Type: article

Abstract: ABSTRACT In this paper we study the long‐time stability of the Cauchy one‐leg ‐methods for the two‐dimensional Navier‐Stokes equations. We establish the uniform dissipativity in , in the sense that the semi‐discrete‐in‐time approximations possess a global attractor for a small enough time step, using the discrete Grönwall lemma and the discrete uniform Grönwall lemma.

Source: Numerical Methods for Partial Differential Equations

DOI: 10.1002/num.70137

Authors: Isabel Barrio Sanchez, Catalin Trenchea, Wenlong Pei

Institutions: University of Pittsburgh, The Ohio State University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funder: National Science Foundation