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Local Existence of Strong Solutions of a Fluid–Structure Interaction Model
Journal of Mathematical Fluid Mechanics ( IF 1.2 ) Pub Date : 2020-09-16 , DOI: 10.1007/s00021-020-00520-8 Sourav Mitra
中文翻译:
流固耦合模型强解的局部存在
更新日期:2020-09-16
Journal of Mathematical Fluid Mechanics ( IF 1.2 ) Pub Date : 2020-09-16 , DOI: 10.1007/s00021-020-00520-8 Sourav Mitra
We are interested in studying a system coupling the compressible Navier–Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler–Bernoulli damped beam equation. We prove the local in time existence of strong solutions for that coupled system.
中文翻译:
流固耦合模型强解的局部存在
我们对研究将可压缩的Navier-Stokes方程与位于流体域边界的弹性结构耦合的系统感兴趣。最初,流体域是矩形的,并且射束位于矩形的上侧。弹性结构通过Euler-Bernoulli阻尼梁方程建模。我们及时证明了该耦合系统在本地的强大解决方案。