Journal of Hyperbolic Differential Equations

期刊简介：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.

【译文】本期刊发表关于非线性双曲问题及相关主题的原创研究论文，具有数学和/或物理兴趣。具体来说，它邀请关于双曲守恒律的理论和数值分析以及数学物理中出现的双曲偏微分方程的论文。该期刊欢迎以下方面的贡献：非线性守恒律系统的理论，解决了解的适定性和定性行为问题，在一维或多维空间中。数学物理中的双曲微分方程，如广义相对论的爱因斯坦方程、狄拉克方程、麦克斯韦方程、相对论流体模型等。黎曼几何，特别是满足爱因斯坦方程的时空的全局几何和因果理论方面。连续物理学中出现的非线性双曲系统，如流体动力学的双曲模型、跨音速流动的混合模型等。受有限速度现象主导（但不仅限于驱动）的一般问题，如双曲系统的耗散和色散扰动，以及与流体动力学方程推导相关的统计力学和其他概率模型。双曲方程数值方法的收敛性分析：有限差分方案、有限体积方案等。