标题： 非线性因果性和重子丰富Israel-Stewart流体力学的强双曲性 显示英文标题

标题： Nonlinear causality and strong hyperbolicity of baryon-rich Israel-Stewart hydrodynamics

摘要： 我们提出了第一组完全非线性的必要且充分条件，确保带有剪切粘性和体积粘性并与非零重子流耦合的Israel-Stewart流体力学方程的初始数据的因果演化。 这些约束不仅提供非线性因果性：它们还（a）在排除边界端点时保证初始数据的局部良好 posed 演化（它们强制强双曲性），（b）来自于纯粹代数约束，这些约束对自由度没有做出任何潜在对称性假设，（c）在整个问题演化过程中传播自由度的相关对称性。 我们的工作为未来研究富含重子物质的粘性相对论流体力学，包括中子星合并和重离子碰撞提供了数学上严谨的基础。 显示英文摘要

摘要： We present the first set of fully-nonlinear, necessary and sufficient conditions guaranteeing causal evolution of the initial data for the Israel-Stewart hydrodynamic equations with shear and bulk viscosity coupled to a nonzero baryon current. These constraints not only provide nonlinear causality: they also (a) guarantee the existence of a locally well-posed evolution of the initial data (they enforce strong hyperbolicity) when excluding the endpoints of the bounds, (b) arise from purely algebraic constraints that make no underlying symmetry assumptions on the degrees of freedom and (c) propagate the relevant symmetries of the degrees of freedom over the entire evolution of the problem. Our work enforces a mathematically rigorous foundation for future studies of viscous relativistic hydrodynamics with baryon-rich matter including neutron star mergers and heavy-ion collisions.