In this article, we study the finite life span of the irrotational C¹ non-vacuum solutions, for the compressible Euler equations in Rᴺ in fluid dynamics. We present the blowup results for the C¹ solutions, for which the initial functional H(0)= ∫Rᴺx·u₀dV, is sufficiently large. To partially complement the classical Sideris blowup results, F(0)= ∫R³x·ρ₀u₀dV, (Sideris, 1985), our blowup conditions do not depend on the density ρ₀ . Copyright © 2017 Elsevier Ltd.
CitationYuen, M. (2017). Blowup for irrotational C¹ solutions of the compressible Euler equations in Rᴺ. Nonlinear Analysis, 158, 132-141.
- Compressible Euler equations
- Initial value problem
- Irrotational solutions
- Integration method