Problems which are well posed in a generalized sense with applications to the Einstein equations
Problems which are well posed in a generalized sense with applications to the Einstein equations
复制标题
在广义上很好地提出并应用于爱因斯坦方程的问题
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
J. Winicour
中科院分区：
文献类型：
--
作者：
H. Kreiss;J. Winicour
在广义相对论的调和描述中，爱因斯坦方程的主要部分简化为一个由十个弯曲的空间波方程组成的时空度规的约束系统。利用广义强适定性系统的伪微分理论，建立了该系统在二阶微分形式下的约束保持边界条件的适定性.边界条件是一个广义索末菲类型，是仁慈的数值计算。
In the harmonic description of general relativity, the principal part of the Einstein equations reduces to a constrained system of ten curved space wave equations for the components of the spacetime metric. We use the pseudo- differential theory of systems which are strongly well posed in the generalized sense to establish the well posedness of constraint-preserving boundary conditions for this system when treated in a second-order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.