399 citations · 1.2k across the 66 of their papers we have counts for
47 papers · 1 filter
Finite-time breakdown of the Euler-alignment system for supercritical initial data
Young-Pil Choi, Eitan Tadmor
We study finite-time breakdown of classical solutions to the Euler-alignment system through the degeneration of the associated Lagrangian flow. This approach allows us to character…
Variational formulation of hyperbolic conservation laws
Eitan Tadmor
Entropy functions played a key role in the development of mathematical theory for hyperbolic conservation laws. The notion of entropy, which is intimately connected with symmetry,…
Lagrangian formulation and Eulerian closure in alignment dynamics
José A. Carrillo, Young-Pil Choi, Eitan Tadmor
We investigate a continuum Lagrangian -alignment system given by a nonlocal mean-field system of ordinary differential equations for interacting agents with weak initial data. W…
Entropy decrease and emergence of order in collective dynamics
Eitan Tadmor
We study the hydrodynamic description of collective dynamics driven by velocity {\it alignment}. It is known that such Euler alignment systems must flock towards a limiting ``flock…
Large-time behavior of pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We study the large-time asymptotic behavior of solutions to the one-dimensional damped pressureless Euler-Poisson system with variable background states, subject to a neutrality co…
Constructions of bounded solutions of in critical spaces
Albert Cohen, Ronald DeVore, Eitan Tadmor
We construct uniformly bounded solutions of the equation for arbitrary data in the critical spaces , where is a domain of . Thi…