Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection

DOI10.1515/jiip-2020-0084zbMath1461.76356OpenAlexW3091686522MaRDI QIDQ2660773

V. T. Volkov, Nikolai N. Nefedov

Publication date: 31 March 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0084

zbMATH Keywords

singularly perturbed problemcoefficient inverse problemreaction-diffusion-advection equationinternal layer

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Diffusion and convection (76R99) Inverse problems in fluid mechanics (76M21)

Related Items (3)

Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations ⋮ Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain

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