标题： 关于斑块生长的流体-结构相互作用问题 显示英文标题

标题： On a fluid-structure interaction problem for plaque growth

摘要： 我们研究一个带有生长的自由边界流体-结构相互作用问题，该问题源于血管中的斑块形成。 流体由不可压缩的纳维-斯托克斯方程描述，而结构则被视为一种粘弹性不可压缩的neo-Hookean材料。 此外，考虑了生化过程引起的生长。 通过对方程的线性化应用最大正则性理论，并结合变形映射，我们通过压缩映射原理证明了整个非线性问题的适定性。 显示英文摘要

摘要： We study a free-boundary fluid-structure interaction problem with growth, which arises from the plaque formation in blood vessels. The fluid is described by the incompressible Navier-Stokes equation, while the structure is considered as a viscoelastic incompressible neo-Hookean material. Moreover, the growth due to the biochemical process is taken into account. Applying the maximal regularity theory to a linearization of the equations, along with a deformation mapping, we prove the well-posedness of the full nonlinear problem via the contraction mapping principle.