## The structure of a weak shock wave undergoing reflection from a wall |

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acoustic coordinates acoustic equations acoustic region acoustic velocity adiabatic wall Aerospace Engineering appendix apply Burgers equation composite expansion convective and diffusive diffusive effects equations of acoustics equations satisfy first-order acoustic first-order solution first-order terms Ford Foundation function G. I. Taylor gas velocity goes to minus goes to zero Goursat problem heat conduction incident shock initial conditions isentropic gas law isothermal wall left-going Burgers expansion Lighthill linear wave equation matched asymptotic expansions matching principle minus infinity momentum equation Moran and Shen Navier Navier-Stokes equations nondimensional nonlinear order acoustic expansion piston reflected shock problem reflecting shock structure right-going Burgers coordinates right-going Burgers expansion right-going waves second-order acoustic expansion second-order temperature second-order terms shock reflection shock structure problem shock tube shock wave undergoing steady state shock Stokes equation thermal layer expansion uniformly valid vanish viscosity wall boundary condition wave motion wave problems wave undergoing reflection weak shock waves X-t fixed