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math.AP2025
Shock Formation for Compressible Euler Equations on
Xinliang An, Haoyang Chen, Fulin Qi +1
In this paper, we prove the finite-time shock formation for the compressible Euler equations on the two-dimensional sphere . In contrast to the flat Euclidean case $\…
math.AP2024
Sharp lifespan estimate for the compressible Euler system with critical time-dependent damping in
Lv Cai, Ning-An Lai, Wen-Ze Su
This paper concerns the long time existence to the smooth solutions of the compressible Euler system with critical time dependent damping in . We establish the sharp lifespan…