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引用次数: 1
摘要
对于任意维数N≥1的chplygin气体方程，我们建立了适定性理论和爆破判据。首先，在给定ω = 1 ρ， h ' ' '𝒞0,1的条件下，证明了h = 1 ρ， h ' ' '𝒞0,1的适定性。
Well-posedness and blow-up criterion for the Chaplygin gas equations in ℝN
We establish a well-posedness theory and a blow-up criterion for the Chaplygin gas equations in ℝN for any dimension N ≥ 1. First, given ω = 1 ρ, ℋ↪𝒞0,1, we prove the well-posedness property for so...
期刊介绍：
This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics. The Journal welcomes contributions in:
Theory of nonlinear hyperbolic systems of conservation laws, addressing the issues of well-posedness and qualitative behavior of solutions, in one or several space dimensions.
Hyperbolic differential equations of mathematical physics, such as the Einstein equations of general relativity, Dirac equations, Maxwell equations, relativistic fluid models, etc.
Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations.
Nonlinear hyperbolic systems arising in continuum physics such as: hyperbolic models of fluid dynamics, mixed models of transonic flows, etc.
General problems that are dominated (but not exclusively driven) by finite speed phenomena, such as dissipative and dispersive perturbations of hyperbolic systems, and models from statistical mechanics and other probabilistic models relevant to the derivation of fluid dynamical equations.
Convergence analysis of numerical methods for hyperbolic equations: finite difference schemes, finite volumes schemes, etc.
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