Diffusive limits of nonlinear hyperbolic systems with variable coefficients

作者：Miyoshi Hironari^*; Tsutsumi Masayoshi

来源：Continuum Mechanics and Thermodynamics, 2016, 28(5): 1583-1599.

DOI：10.1007/s00161-016-0497-y

• Diffusive limit
• Carleman's equation
• Initial boundary value problem
• Nonlinear parabolic equation

We consider the initial-boundary value problem for a 2-speed system of first-order nonhomogeneous semilinear hyperbolic equations whose leading terms have a small positive parameter. Using energy estimates and a compactness lemma, we show that the diffusion limit of the sum of the solutions of the hyperbolic system, as the parameter tends to zero, verifies the nonlinear parabolic equation of the p-Laplacian type.

• 出版日期2016-9