A Pregenerator for Burgers Equation¶Forced by Conservative Noise
A Pregenerator for Burgers Equation¶Forced by Conservative Noise
复制标题
Burgers 方程的预生成器¶由保守噪声强迫
DOI：
10.1007/s002200100606
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发表时间：
2002
影响因子：
2.4
通讯作者：
Sigurd Assing
中科院分区：
文献类型：
--
作者：
Sigurd Assing
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Abstract: We consider the stationarity of a Burgers equation with an external random force of gradient type in one space dimension. The expected stationary measure is the white noise measure on the space of tempered distributions. As a consequence, the nonlinearity of the formal equation ut+λuux=νuxx+ηx is ill-defined. Introducing a pregenerator we can formulate a generalized martingale problem leading to a meaningful version of the formal equation which was an open problem.