Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations

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Abstract

The blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations is investigated. More precisely, we consider a functional F(t) associated with the momentum and weighted by a general test function f and show that if F(0) is sufficiently large, then the finite time blowup of the solutions of the non-isentropic compressible Euler equations occurs. As the test function f is a general function with only mild conditions imposed, a class of blowup conditions is established. Copyright © 2018 Author(s).
Original languageEnglish
Article number041502
JournalJournal of Mathematical Physics
Volume59
Issue number4
Early online dateApr 2018
DOIs
Publication statusPublished - 2018

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Compressible Euler Equations
Test function
boundary value problems
Initial-boundary-value Problem
Blow-up
Finite Time Blow-up
Momentum
momentum
Class

Citation

Cheung, K. L., Wong, S., & Yuen, M. (2018). Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations. Journal of Mathematical Physics, 59(4). Retrieved from http://dx.doi.org/10.1063/1.5031120