10 citations · 20 across the 6 of their papers we have counts for
6 papers
Fluid dynamics solutions obtained from the Riemann invariant approach
A. M. Grundland, V. Lamothe
The generalized method of characteristics is used to obtain rank-2 solutions of the classical equations of hydrodynamics in (3+1) dimensions describing the motion of a fluid medium…
Symmetry groups of non-stationary planar ideal plasticity
Vincent Lamothe
This paper is a study of the Lie groups of point symmetries admitted by a system describing a non-stationary planar flow of an ideal plastic material. For several types of forces i…
Solutions of first-order quasilinear systems expressed in Riemann invariants
Alfred Michel Grundland, Vincent Lamothe
We present a new technique for constructing solutions of quasilinear systems of first-order partial differential equations, in particular inhomogeneous ones. A generalization of th…
Group analysis of an ideal plasticity model
Vincent Lamothe
In this paper, we study the Lie point symmetry group of a system describing an ideal plastic plane flow in two dimensions in order to find analytical solutions of the system. The i…
Multimode solutions of first-order elliptic quasilinear systems obtained from Riemann invariants
A. M. Grundland, V. Lamothe
Two new approaches to solving first-order quasilinear elliptic systems of PDEs in many dimensions are proposed. The first method is based on an analysis of multimode solutions expr…
Symmetry group analysis of an ideal plastic flow
Vincent Lamothe
In this paper, we study the Lie point symmetry group of a system describing an ideal plastic plane flow in two dimensions in order to find analytical solutions. The infinitesimal g…