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Difference Approximations to the Global $W^{1,\infty}$-Solutions of the Isentropic Gas Equations

by W.-A. Yong

(Report number 1993-02)

Abstract
We use difference methods to prove the existence of global $W^{1,\infty}$-solutions to the isentropic gas equations with some special initial data, in which the density is non-negative but not necessarily positive. The difference scheme employed is also shown to be convergent.

Keywords: isentropic gas equation, $W^{1,\infty}$-solutions, difference scheme, weak$^*$-convergence

@Techreport{Y93_27,
  author = {W.-A. Yong},
  title = {Difference Approximations to the Global $W^{1,\infty}$-Solutions of the Isentropic Gas Equations},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1993-02},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1993/1993-02.pdf },
  year = {1993}
}

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