Shock formation for general first-order strictly hyperbolic systems in one spatial dimension is self-similar and universal like the inviscid Burgers' equation, with an analytical formula for the self-similar solution.
Riemann , ¨Uber die fortpflanzung ebener luftwellen von endlicher schwingungsweite , Ab- handlungen der K¨ oniglichen Gesellschaft der Wissenschaften in G¨ ottingen, 8 (1860), pp
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Similarity Solutions of Shock Formation for First-order Strictly Hyperbolic Systems
Shock formation for general first-order strictly hyperbolic systems in one spatial dimension is self-similar and universal like the inviscid Burgers' equation, with an analytical formula for the self-similar solution.