Nonlinear instability problem for geometrically exact beam under conservative and non-conservative loads

Double zero bifurcation of non-linear viscoelastic beams under conservative and non-conservative loads

Geometrically Exact Conservative Remapping (GECoRe): Regular latitude-longitude and cubed-sphere grids

Land, ocean and atmospheric models are often implemented on different spherical grids. As a conseqence coupling these model components requires state variables and fluxes to be regridded. For some variables, such as fluxes, it is paramount that the regridding algorithm is conservative (so that energy and water budget balances are maintained) and monotone (to prevent unphysical values). For glob...

Non-Conservative Variational Approximation for Nonlinear Schrödinger Equations

Recently, Galley [1] proposed an initial value problem formulation of Hamilton’s principle applied to non-conservative systems. Here, we explore this formulation for complex partial differential equations of the nonlinear Schrödinger (NLS) type, examining the dynamics of the coherent solitary wave structures of such models by means of a non-conservative variational approximation (NCVA). We comp...

On the Riemann Problem for Non-conservative Hyperbolic Systems

Conservative and non-conservative partitioned systems: equivalences and interconversions

Apparently, the buffering concept and the associated terminology are applicable if and only if the system under study has been structured in a particular way. Namely, the elements of a whole must be grouped into exactly two separate groups both of which can be condensed into a single function of a common variable. In the axiomatic definition of the signed probability measure t and the other thr...