Alexander G. Ramm was born in Russia, emigrated to USA in 1979 and is a US citizen. He is Professor Emeritus of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis and applied mathematics. He is an author of 718 research papers, 20 research monographs and an editor of 3 books. He has lectured at many Universities throughout the world, gave more than 150 invited and plenary talks at various Conferences and had supervised 11 Ph.D students. He was Fulbright Research Professor in Israel and Ukraine; distinguished visiting professor in Mexico and Egypt; Mercator Professor in Germany; Research Professor in France; invited plenary speaker at the 7-th PACOM; he won Khwarizmi international award in 2004 and received other honors. A.G.Ramm was the first to prove uniqueness of the solution to inverse scattering problems with fixed-energy scattering data; the first to prove uniqueness of the solution to inverse scattering problems with non-over-determined scattering data and the first to study inverse scattering problems with under-determined scattering data. He studied inverse scattering problems for potential scattering and for scattering by obstacles. He solved many specific inverse problems and developed new methods and ideas in the area of inverse scattering problems. He introduced the notion of Property C for a pair of differential operators and applied Property C for one-dimensional and multi-dimensional inverse scattering problems. A. G. Ramm solved many-body wave scattering problem when the bodies are small particles of arbitrary shapes, assuming that a much less than d and d is much less that λ, where a is the characteristic size of the particles, d is the minimal distance between neighboring particles, and λ is the wavelength in the material in which the small particles are embedded. Multiple scattering is essential under these assumptions. He used this theory to give a recipe for creating materials with a desired refraction coefficient and materials with a desired wave-focusing property. These results attracted attention of the scientists working in nanotechnology. A. G. Ramm gave formulas for the scattering amplitude for scalar and electromagnetic waves by small bodies of arbitrary shapes and analytical formulas for the polarizability tensors for these bodies. A. G. Ramm gave a solution to the Pompeiu problem, proved the Schiffer’s conjecture and gave many results about symmetry problems for PDE, including first symmetry results in harmonic analysis. A. G. Ramm has developed the Dynamical Systems Method (DSM) for solving linear and nonlinear operator equations, especially ill-posed. These results were used numerically and demonstrated practical efficiency of the DSM. A. G. Ramm developed random fields estimation theory for a wide class of random fields. A. G. Ramm has developed a theory of convolution equations with hyper-singular integrals and solved analytically integral equations with hyper-singular kernels. These results he applied to the study of the NSP (Navier-Stokes problem). As a result, he solved the millennium problem concerning the Navier-Stokes equations. A. G. Ramm formulated and proved the NSP paradox which shows the contradictory nature of the NSP and the non-existence of its solution on all times for the initial data not identically equal to zero and the force equal to zero. A. G. Ramm has introduced a wide class of domains with non-compact boundaries. He studied the spectral properties of the Schr¨ odinger operators in this class of such domains and gave suffient conditions for the absence of eigenvalues on the continuous spectrum of these operators. A. G. Ramm developed the theory of local, pseudolocal and geometrical tomography. He has proved a variety of the results concerning singularities of the Radon transform and developed multidimensional algorithms for finding discontinuities of signals from noisy discrete data. Title: Solution of
the Millennium Problem on the Navier-Stokes Equations Abstract: 
References 1. A. G. Ramm, The
Navier-Stokes problem, Morgan & Claypool Publish- ers, 2021. 2. A. G. Ramm,
Theory of hyper-singular integrals and its application to the Navier-Stokes
problem, Contrib. Math. 2, (2020), 47-54. Open access Journal:
www.shahindp.com/locate/cm; DOI: 10.47443/cm.2020.0041 3. A. G. Ramm,
Comments on the Navier-Stokes problem, Axioms, 2021, 10, 95. Open
access Journal: https://www.mdpi.com/2075-1680/10/2 4. A. G. Ramm,
Navier-Stokes equations paradox, Reports on Math. Phys. (ROMP), 88, N1, (2021),
41-45.
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Prof. Ovidiu Radulescu University of Montpellier, France Research Interests: Systems and mathematical biology, most particular in deterministic and stochastic biochemical networks, model reduction and multiscale modelling of biological systems | Ovidiu Radulescu is a full professor (Professeur classe exceptionnelle), Team leader in the Laboratory of Pathogen Host Interactions (LPHI) UMR 5235, University of Montpellier, since 2009. Expert in systems and mathematical biology, most particular in deterministic and stochastic biochemical networks, model reduction and multiscale modelling of biological systems. Through many collaborations with wet lab biologists. He got his engineering degree in Solid State Physics (University of Bucharest, 1989), PhD in Theoretical Solid State Physics (Orsay, University of Paris 11, 1994), Master degree in Probability theory and analysis (University of Marne-la-Vallée, 1996), Habilitation in Applied Mathematics (University of Rennes 1, 11/12/2006). He is the expert for ERC (European Research Council), ANR (French National Research Agency), HCERES (High Council for the Evaluation of Research and Higher Education), NW0 (Netherlands Organisation for Scientific Research).
Title: Mesoscale Modelling in Biology: from Genes and Cells to Tissues and Organs
Abstract: Multicellular organisms are amazing examples of complex organisation. Single cell functioning depends on the expression of tens of thousands of genes. Cells interact with each other and with the extracellular matrix in tissues and organs in a manner dependent on their current gene expression, but also on their spatial position, environmental cues, and past decisions. In physics, since Ludwig Boltzmann, many approaches have been developed for going, as described by Hilbert, “from atomistic views to laws of motion of continua”. This problem is very general and it is not surprising that Hilbert included it in his famous list of challenges for modern mathematics. Contrary to many physical systems such as gases, where atomistic fluctuations are fast, in biological systems some gene expression fluctuations can be slow. Therefore, in biology, mesoscale modelling has to cope with fluctuations and heterogeneity at multiple scales. In biological mesoscale models, cell populations are represented as distributions over multiple dimensions, including space, but potentially also tens of thousands of genes. In order to obtain tractable models, dimensionality reduction has to be employed. Single cell technologies reveal distributions of gene expression and transitions between cell types in cell populations. Single cell, single molecule and multimodal imaging techniques add quantitative precision and spatial dimension to these descriptions. The availability of such data is a unique opportunity for developing and validating new mechanistic modelling approaches that bring biology closer to physical sciences. In this talk I will discuss examples of mesoscale modelling in infectious diseases, cancer, and developmental biology.
| Prof. Hajime Urakawa Tohoku University, Japan Research Interests: Applied Mathematics, Theoretical Numerical Analysis, Theoretical Electrical Engineering, Signal Estimation, Tomography | Prof. Hajime Urakawa graduated at the undergraduate course at Tohoku University and at the master course at Osaka University, and has accomplished his doctoral degree of science at Nagoya University at 1977. He held an appointment at Nagoya Univ. at 1972 as an assistant professor, accepted an offer from Tohoku Univ. at 1978 as an associate professor, and became full professor at Tohoku Univ. since 1992, and professor emeritus and professor at Institute for Intern. Education, Tohoku Univ. since 2010. In 1979, he answered negatively to M. Berger’s problem by giving a family of Riemannian metrics with a fixed volume whose first eigenvalues tend to infinity. In 1982, he answered to M. Kac’s problem by giving two higher dimensional different shaped drums sounding the same tones. In 1988, he settled an equivariant Yang-Mills gauge theory in mathematical physics having an application producing a negative answer to the Atiyah-Jones conjecture. In 1993, he published “Calculus of Variations and Harmonic Maps” (251pages) in the Amer. Math. Soc. As of today, he has published 13 books and more 120 mathematical journal papers cited in Math. Sci. Net., containing more than twenty papers in the recent five years.
Title: Harmonic Maps and Biharmonic Maps between Riemannian Manifolds Abstract: A harmonic map is a critical point of the energy, half of the integral of square ofthe norm of the derivative of the mapping. This means vanishing of the tension field.The bienergy is defined by the integral of the square norm of the tension field. Thecritical points of the bienergy are biharmonic maps by definition. Harmonic maps arebiharmonic. In 1991, B.Y. Chen asked the reverse (unsolved);Every biharmonicisometric immersion into the Euclidean space must be harmonic. In this talk, we will give a short survey on our recent results on biharmonic maps: (i) Every biharmonic map into a Riemannian manifold of non-positive with finiteenergy and finite bienergy is harmonic. (ii) If the projection of a principal bundle over a Riemannian manifold of non-positivecurvature with finite energy and finite bienergy, is biharmonic, then it is harmonic. (iii) We characterize the tension field and the bitension field of the Riemanniansubmersion, and as its application, we give an infinite series of the principal circle bundles over the projective space whose projections are biharmonic but not harmonic.
(iv) For a compact Lie group G, let K and H be two compact closed subgroups of G such that G/K and G/H are symmetric spaces whose involutions are commutative. Then, we show that every K-invariant biharmonic (or minimal) hypersurface in G/Hyields an H-invariant biharmonic (or minimal) hypersurface in G/K, and vice versa.
| Prof. Yajun Liu South China University of Technology, China Research Interests: Digital signal processing technology and its application in mechanical systems (such as hydraulic System for Energy Saving.); Intelligence control and Manufacturing Engineering | Prof. Yajun Liu is a full professor in the Professor in the School of Mechanical and Automotive Engineering, South China University of Technology (2016-at pressent). His research interests include Digital signal processing technology and its application in mechanical systems (such as hydraulic System for Energy Saving.); Intelligence control and Manufacturing Engineering. Moreover, Prof. Yajun Liu has published more than 150 papers in Journals and proceedings of international conferences. 35 patents on Mechanical System design and manufacturing.
| Prof. Grienggrai Rajchakit Faculty of Science, Maejo University Chiang Mai, Thailand Research Interests: Lyapunov methods,asymptotic stability,delays,time-varying systems,fuzzy control,linear matrix inequalities,neural nets,robust control,synchronisation,uncertain systems,closed loop systems,complex networks,control system synthesis,fuzzy
| G. Rajchakit was born in 1981. He received the B.S. degree in mathematics from Thammasat University, Bangkok, Thailand, in 2003, the M.S. degree in applied mathematics from Chiang Mai University, Chiang Mai, Thailand, in 2005, and the Ph.D. degree in applied mathematics from the King Mongkut’s University of Technology Thonburi, Bangkok, in the field of mathematics with specialized area of stability and control of neural networks. He is currently working as a Lecturer with the Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai. He has authored or coauthored more than 146 research articles in various SCI journals. His research interests include complex-valued NNs, complex dynamical networks, control theory, stability analysis, sampled-data control, multi-agent systems, T-S fuzzy theory, and cryptography. He was a recipient of the Thailand Frontier Author Award by the Thomson Reuters Web of Science in 2016 and the TRF-OHEC-Scopus Researcher Award by the Thailand Research Fund (TRF), Office of the Higher Education Commission (OHEC) and Scopus in 2016. He also serves as a reviewer for various SCI journals.(Based on document published on 24 February 2022). 
| Prof. Oscar Eduardo Ruiz Salguero Universidad EAFIT, COLOMBIA Research Interests Computer Aided Geometric Design, Geometric Reasoning and Applied Computational Geometry
| Professor Oscar Ruiz was born in Tunja, Colombia. He obtained B.Sc. degrees in Mechanical Eng. (1983) and Computer Science (1987) at Los Andes University, Bogota, Colombia, a M.Sc. degree with emphasis in CAM (1991) and a Ph.D. with emphasis in CAD (1995) from the Mechanical & Industrial Eng. Dept. of University of Illinois at Urbana- Champaign, USA. Dr. Ruiz has held Visiting Researcher positions at Ford Motor Co. (Dearborn, USA. 1993 and 1995), Fraunhofer Inst. Graphische Datenverarbeitung (Darsmstad, Germany 1999 and 2001), University of Vigo (1999 and 2002), Max Planck Institute for Informatik (2004) and Purdue University (2009). In 1996 Dr. Ruiz was appointed as Faculty of the Mechanical Eng. and Computer Science Depts. at EAFIT University, Medellin, Colombia, and has been ever since the Coordinator of the Laboratory for interdisciplinary Research on CAD / CAM / CAE. Dr. Ruiz’ interests are Computer Aided Geometric Design, Geometric Reasoning and Applied Computational Geometry.
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