4 citations · 10 across the 20 of their papers we have counts for
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Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics
Daria Bolbot, Dimitrios Mitsotakis, Athanasios E. Tzavaras
The aim is to assess the combined effect of diffusion and dispersion on shocks in the moderate dispersion regime. For a diffusive dispersive approximation of the equations of one-d…
Oscillatory and regularized shock waves for a dissipative Peregrine-Boussinesq system
Larkspur Brudvik-Lindner, Dimitrios Mitsotakis, Athanasios E. Tzavaras
We consider a dissipative, dispersive system of Boussinesq type, describing wave phenomena in settings where dissipation has an effect. Examples include undular bores in rivers or…
Optimization Methods for One Dimensional Elastodynamics
Theodoros Katsaounis, Grigorios Kounadis, Ioanna Mousikou +1
We propose a new approach for solving systems of conservation laws that admit a variational formulation of the time-discretized form, and encompasses the p-system or the system of…
Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
A Maxwell-Stefan system for fluid mixtures with driving forces depending on Cahn-Hilliard-type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equation…