Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation
نویسندگان
چکیده
The Kuramoto-Sivashinsky equation is a fourth-order partial differential used as model for physical phenomena such plane flame propagation and phase of turbulence. inverse problem recovering the second-order coefficient from knowledge solution in final time, linear version equation, studied this article. formulated regularized nonlinear optimization problem, which local uniqueness stability are proved. Finally, an algorithm reconstruction proposed several numerical simulations presented.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124747