Work

The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory and numerical analysis

Year: 2025

Type: article

Abstract: In this paper, we establish the global well-posedness of the Cauchy problem for a generalised viscous Burgers equation with spatially decaying sound speed, continuing from part I of this series of papers. Moreover, we establish qualitative properties, specifically bounds and monotonicity properties of solutions to the Cauchy problem. We also establish a conditional convergence result for an explicit mid-point finite difference scheme used throughout part I to approximate solutions to the Cauchy problem.

Source: Nonlinear Analysis Real World Applications

DOI: 10.1016/j.nonrwa.2025.104349

Authors: John Christopher Meyer, David John Needham

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4408305711

FWCI:

Cites: 28

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Related to: 10