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On the closeness of solutions of unperturbed and hyperbolized heat equations with discontinuous initial data

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Publication:1994101
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DOI10.1134/S1064562418050277zbMath1502.35057OpenAlexW2891258325MaRDI QIDQ1994101

T. E. Moiseev, V. F. Tishkin, E. E. Myshetskaya

Publication date: 1 November 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418050277


Mathematics Subject Classification ID

Heat equation (35K05)


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Numerical algorithm for source determination in a diffusion-logistic model from integral data based on tensor optimization, Properties and errors of second-order parabolic and hyperbolic perturbations of a first-order symmetric hyperbolic system, Compact quasi-gas-dynamic system and high performance computing



Cites Work

  • On conservation laws for hyperbolized equations
  • Estimates of the difference between approximate solutions of the Cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter
  • On the closeness of trajectories for model quasi-gasdynamic equations
  • Estimates of the hyperbolization effect on the heat equation
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