27 citations · 112 across the 27 of their papers we have counts for
4 papers · 1 filter
On Riemann wave superpositions obtained from the Euler system
Łukasz 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…
Nonlinear wave superpositions and quasi-rectifiable Lie modules
Łukasz 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…
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 …