4 citations · 17 across the 12 of their papers we have counts for
5 papers · 1 filter
A game of alignment:collective behavior of multi-species
Siming He, Eitan Tadmor
We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the co…
A minimum entropy principle in the compressible multicomponent Euler equations
Ayoub Gouasmi, Karthik Duraisamy, Scott M. Murman +1
In this work, the space of admissible entropy functions for the compressible multicomponent Euler equations is explored, following up on [Harten, \textit{J. Comput. Phys.}, 49 (1),…
Anticipation breeds alignment
Ruiwen Shu, Eitan Tadmor
We study the large-time behavior of systems driven by radial potentials, which react to anticipated positions, , with anticipation…
Optimal regularity in time and space for the porous medium equation
Benjamin Gess, Jonas Sauer, Eitan Tadmor
Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of th…
Flocking hydrodynamics with external potentials
Ruiwen Shu, Eitan Tadmor
We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional ext…