New lessons about hydrodynamics from gravity

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Hydrodynamics of relativistic plasmas received,
within the last 10 years, a lot of attention. The reason for it, on one hand,
is the quest for theoretical understanding of the quark-gluon plasma created in
heavy ion collisions and, on the other, advances in holographic duality and
black hole physics in anti-de Sitter spacetimes. I will describe recent
progress in answering foundational issues in hydrodynamics of strongly coupled
systems, i.e. questions about its applicability and the character of
hydrodynamic gradient expansion, that was achieved with the use of numerical
techniques in anti-de Sitter spacetimes in the strong gravity regime.