4 papers
Nonlinear wave superpositions and quasi-rectifiable Lie modules
Åukasz Chomienia, Alfred Michel Grundland
This paper presents a study of nonlinear superpositions of Riemann wave solutions admitted by quasilinear hyperbolic first-order systems of partial differential equations. In parti…
On Riemann wave superpositions obtained from the Euler system
Åukasz Chomienia, Alfred Michel Grundland
The paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions. A review of r…
Stability analysis of the -dimensional Nambu-Goto action gas models
Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora
The aim of this paper is to perform a nonlinear stability analysis of the -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…
A purely analytic derivation of Bonnet surfaces
Robert Conte, A. Michel Grundland
Bonnet has characterized his surfaces by a geometric condition. What is done here is a characterization of the same surfaces by two analytic conditions: (i) the mean curvature …