Diagonalization and simultaneous symmetrization of the gas-dynamic matrices
Diagonalization and simultaneous symmetrization of the gas-dynamic matrices
The hyperbolicity of the unsteady, inviscid, gas-dynamic equations implies the existence of a similarity transformation which diagonalizes an arbitrary linear combination <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Sigma k Subscript j Baseline upper A Subscript j"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">Σ<!-- Σ --></mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>k</mml:mi> <mml:mi>j</mml:mi> </mml:msub> </mml:mrow> <mml:mrow …