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math.AP2011★ 2 cited
Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation
Geng Chen, Robin Young
We study the nonlinear inhomogeneous wave equation in one space dimension: . By constructing some "decoupled" Riccati type equations for smooth solutions,…
math.AP2011
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations
Geng Chen
We define compressive and rarefactive waves and give the differential equations describing smooth wave steepening for the compressible Euler equations with a varying entropy profil…