Shock Waves

By Tai-Ping Liu. Graduate Studies in Mathematics, 2003

174 citations recorded by the source corpus.

Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves. A shock wave is characterized as a sharp transition, even discontinuity in the flow. In fact, shocks appear in many different physical situation and represent strong nonlinearity of the physical processes. Important progresses have been made on shock wave theory in recent years. We will survey the topics for which much more remain to be made. These include the effects of reactions, dissipations and relaxation, shock waves for interacting particles and Boltzmann equation, and multi-dimensional gas flows.

View Paper: https://www.semanticscholar.org/paper/fe4614d182a86f85d73ba1e2b999c20368f6ab59

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Citations in the corpus

• Lecture notes on Generalised Hydrodynamics (2019, background): “A large number of exact predictions and even rigorous results have been obtained: for the classical harmonic lattice [51], quantum models with free fermionic and bosonic descriptions [57–65], and conformal field theories in one dimension [53, 66] and in higher dimensions [10, 67, 68].”