具有不连续孔隙度的非线性孔隙黏弹性流动分析
Analysis of nonlinear poroviscoelastic flows with discontinuous porosities
AI总结：
本文研究孔隙度不连续的多孔介质非线性孔隙黏弹性流动，通过孔隙度与有效压力的非线性相互作用建模，证明了解的存在唯一性，并给出跳跃不连续初始孔隙度下问题适定的条件。
摘要：
针对一类多孔介质中的黏弹性流动，证明了其解的存在性与唯一性，并特别关注孔隙度非光滑的问题。所考虑的模型以孔隙度与有效压力之间随时间变化的非线性相互作用来表述，在某些情形下这会导致孔隙度波。特别地，本文识别了在初始孔隙度具有跳跃不连续时问题适定性的条件。
英文摘要：
Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered models are formulated in terms of the time-dependent nonlinear interaction between porosity and effective pressure, which in certain cases leads to porosity waves. In particular, conditions for well-posedness in the presence of initial porosities with jump discontinuities are identified.
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。
