Related Experiment Video
Updated: Oct 14, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
Published on: January 15, 2022
Note on quantitative homogenization results for parabolic systems in
1Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O., 29, Saint Petersburg, Russia 199178.
Abstract:
In , we consider a semigroup , , generated by a matrix elliptic second-order differential operator . Coefficients of are periodic, depend on , and oscillate rapidly as . Approximations for were obtained by Suslina (Funktsional Analiz i ego Prilozhen 38(4):86-90, 2004) and Suslina (Math Model Nat Phenom 5(4):390-447, 2010) via the spectral method and by Zhikov and Pastukhova (Russ J Math Phys 13(2):224-237, 2006) via the shift method. In the present note, we give another short proof based on the contour integral representation for the semigroup and approximations for the resolvent with two-parametric error estimates obtained by Suslina (2015).
Related Concept Videos
Second Order systems II
Poisson's And Laplace's Equation
Generalized Hooke's Law
Second Order systems I
By reinterpreting the system, one can derive the closed-loop transfer function, which...
Region of Convergence of Laplace Tarnsform
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
Conservation of Mass in Fixed, Nondeforming Control Volume
In the case of a sewer pipe, which can be modeled...

