In this paper, two sets of initial conditions that guarantee a positive lower bound and a finite upper bound of existence time of local classical solutions to multi-dimensional compressible Euler equations with Logarithmic equation of state are established. Copyright © 2022 Elsevier Inc. All rights reserved.
CitationCheung, K. L. (2022). Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state. Journal of Mathematical Analysis and Applications, 515(1). Retrieved from https://doi.org/10.1016/j.jmaa.2022.126458
- Surviving time
- Euler equations
- Logarithmic equation of state
- Classical solutions
- Cauchy problem