The global existence of L solutions to isentropic Euler equations in general nozzle
MATHEMATISCHE NACHRICHTEN(2024)
Abstract
In this paper, we study the global L-infinity entropy solutions for the Cauchy problem of the isentropic gas dynamics systemin a general nozzlewith bounded initial date. First, we apply for the flux-approximation technique coupled with the classical viscosity method to obtain the L-infinity estimates of the viscosity solutions. Second, we prove the pointwise convergence of the approximation solutions by using the compactness framework for any adiabatic exponent gamma > 1.
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Key words
global L-infinity solution,isentropic gas flow,general nozzle,flux approximation,compensated compactness
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