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Classical solutions for a class of Euler equations of ideal gas dynamics

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  • Svetlin G. Georgiev

    (Sorbonne University)

  • Gal Davidi

    (CFD FEM Engineering)

Abstract

In this paper we present new results concerning the existence and multiplicity of global classical solutions to a class of of Euler equations of ideal gas dynamics. We give conditions under which the considered equations have at least one and at least two classical solutions. Our method is based on the use of fixed point theory for the sum of two operators.

Suggested Citation

  • Svetlin G. Georgiev & Gal Davidi, 2025. "Classical solutions for a class of Euler equations of ideal gas dynamics," Partial Differential Equations and Applications, Springer, vol. 6(6), pages 1-13, December.
    • Handle: RePEc:spr:pardea:v:6:y:2025:i:6:d:10.1007_s42985-025-00350-1
    DOI: 10.1007/s42985-025-00350-1
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