M12. Applied Inverse Problems and Partial Differential Equations

The vast majority of mathematical models related to inverse problems are governed by partial differential equations. Therefore, the methods of the theory of partial differential equations have a decisive role in the study of inverse problems. This mini-symposium aims to present a discussion of the main ideas and methods for examining inverse problems for PDEs that arise in various mathematical models. Most of these models are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations occur naturally in nearly all branches of science and engineering.

We hope to bring together well-known experts and young researchers working on inverse problems governed by partial differential equations and their applications.

Organizers:
Karel Van Bockstal, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.                                                                 
Michael Ruzhansky, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.                                                             
Berikbol T. Torebek, Ghent University, Belgium; Institute of Mathematics and Mathematical Modeling Almaty, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Ravshan Ashurov, Institute of Mathematics, Uzbekistan Academy of Sciences, Uzbekistan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problem for the subdiffusion equation with fractional Caputo derivative

Yan-Long Fang, University College London, London, This email address is being protected from spambots. You need JavaScript enabled to view it.
Carleman estimates on hyperbolic inverse problems

Muvasharkhan Jenaliyev, Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
On an inverse problem for a linearized system of Navier-Stokes equations with a final overdetermination condition

Khonatbek Khompysh, Al-Farabi Kazakh National University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for pseudoparabolic equations with fractional time derivative

Daniel Lesnic, University of Leeds, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Determination of the time-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Mostafa Meliani, Radboud University, Netherlands, This email address is being protected from spambots. You need JavaScript enabled to view it.
Analysis of wave equations describing ultrasound propagation in complex media

Karlygash Nurtazina, Gumilyov Eurasian National University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problem for a partial differential equation on a graph-tree

Makhmud Sadybekov, Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Direct and inverse initial boundary value problems for heat equation with non-classical boundary condition

Abdizhahan Sarsenbi, South Kazakhstan University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for evolutionary equations of parabolic and hyperbolic types

Cristiana Sebu, University of Malta, Malta, This email address is being protected from spambots. You need JavaScript enabled to view it.

Murat Sultanov, International Kazakh-Turkish University named after Khoja Ahmed Yasavi, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Numerical methods for solving the initial boundary problems for subdiffusion equations with nonlocal boundary conditions

Marat Tleubergenov, Institute of Mathematics and Mathematical Modelling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems of dynamics in the presence of random perturbations

James Webber, Brigham and Women’s Hospital, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Surface of revolution Radon transforms with centers on generalized surfaces in R^n

Madi Yergaliyev, Al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for the Burgers equation in nonlinearly degenerating domains

Ye Zhang, Shenzhen MSU-BIT University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse Cauchy problems: revisit and a new approach