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Additional info for Communications in Mathematical Physics - Volume 299
Hyperbolic Differ. Equ. : Pointwise green function bounds for shock profiles of systems with real viscosity. Arch. Ration. Mech. Anal. : Stability of large-amplitude viscous shock profiles of hyperbolicparabolic systems. Arch. Ration. Mech. Anal. : Large-time behaviors of solutions to an inflow problem in the half space for a one-dimensional system of compressible viscous gas. Commun. Math. Phys. : Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems. Memoirs AMS 826, Providence, RI: Amer.
2, we present heuristic arguments and give the statements of main results, in Sec. 3, we perform a detailed analysis of the sharp interface energy E, in Sec. 4 we establish a connection between the sharp interface energy E and the diffuse interface energy E. Finally, in Sec. 5 we conclude the proofs of the theorems. , denote generic positive constants that can change from line to line. The symbols O(1) and o(1) denote, as usual, uniformly bounded and uniformly small quantities, respectively, in the limit ε → 0, etc.
Math. Phys. 221(2), 267–292 (2001) 44 [YZ] [Z2] [Z3] [Z4] [ZH] T. Nguyen, K. : Pointwise green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers. SIAM J. Math. Anal. : Multidimensional stability of planar viscous shock waves. In: Advances in the theory of shock waves. Volume 47 of Progr. , Boston, MA: Birkhäuser Boston, 2001, pp. : Stability of large-amplitude shock waves of compressible Navier-Stokes equations. In: Handbook of mathematical fluid dynamics.