# Shocking Developments: New Directions in Compressible and Incompressible Flows

Our vision for this conference is to bring together experts in the mathematical theory of compressible and incompressible flows, with an emphasis on recent new ideas and directions. We are inviting speakers with diverse interests, including shock structure, kinetic theory and hydrodynamic limits, global well-posedness and long-time behavior, singular and inviscid limits, convex integration and non-uniqueness, kinetic formulations of conservation laws, collective behavior and biological systems, and numerical methods. These topics only partially reflect the diverse interests of our colleague, mentor, and friend, Alexis Vasseur, whose contributions, mathematical or otherwise, we recognize in his 50th birthday conference.

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Hyperbolic systems of conservation laws,

Guiding the flow of energy and matter,

Allowing for change and evolution,

But never letting things shatter.

From the smallest particles to the grandest galaxies,

These laws hold sway,

Ensuring that the universe remains in harmony,

And never fades away.

We gather then today to celebrate,

Alexis Vasseur's greatest results to date,

For he does not verify conservation,

Nor is he bound by an equation.

Indeed, can you hear the thunder?

As open problems,

Are torn asunder.

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Please find the recorded talks here: