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arXiv 1502.00854math.AP
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定常Doi-Edwards方程密度概率解的存在唯一性

Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation

Ionel Sorin Ciuperca, Arnaud Heibig

摘要:

证明了一类非线性定常Doi-Edwards方程解的存在性、唯一性和非负性。的存在性证明了一个扰动的论点。通过证明演化Doi-Edwards方程的解在时间上收敛于任意定态解,得到了该方程解的唯一性和非负性。

英文摘要:

We prove the existence, uniqueness and non negativity of solutions for a nonlinear stationary Doi-Edwards equation. The existence is proved by a perturbation argument. We get the uniqueness and the non negativity by showing the convergence in time of the solution of the evolutionary Doi-Edwards equation towards any stationary solution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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