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Recent advances in wavelet analysis, PDEs and dynamical systems - part II

Organizer(s):
Name:	Affiliation:	Country:
Emanuel Guariglia	Wenzhou-Kean University	Peoples Rep of China

Introduction:

This session is a follow-up of the SS90 - AIMS WILMINGTON 2023. We focus our attention on recent interconnections between wavelet analysis, PDEs and dynamical systems -- including pure analysis and applications. In particular, this Special Session is dedicated to the analysis of both PDEs and dynamical systems by wavelet-fractal analysis and vice versa. Our main goal is to bring together scholars working in wavelet analysis, PDEs and dynamical systems, in order to report the newest progress, exchange ideas, forge new cooperation and to discuss both classical and merging open problems. The following is a non-exhaustive list of topics to be discussed in this session. - Wavelet methods for PDEs - Fractal-wavelet characterization of dynamical systems - Multiresolutional algorithms for operator equations - Hamiltonian systems, Lyapunov functions and stability - Dynamical systems and fractal sets - Variational methods

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Anar Assanova	Institute of Mathematics and Mathematical Modeling	HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCRETE EFFECT MEMORY AND BOUNDARY VALUE PROBLEMS FOR ITS
Hyeong-Ohk Bae	Ajou University	INTERACTIONS OF PARTICLES AND FLUID, AND RELATION WITH NON-NEWTONIAN FLUID
Christian Budde	University of the Free State	Perturbations of non-autonomous second-order abstract Cauchy problems
Slim cho Chokri	Mocfine laboratory ISCAE Manouba University	Support Vector Regression Estimator with Kalman Filtering for Testing Chaotic dynamic System via lyapunov Exponents
Emanuel Guariglia	Wenzhou-Kean University	Fractality in prime distribution
Mahmoud A. Ibrahim	Bolyai Institute, university of Szeged	Global dynamics of a tumor growth model with three mechanisms
Rowan Juneman	University of Bath	Vortex dynamics for the Gross-Pitaevskii equation
Jihoon Lee	Chonnam National University	Geometrical equivalence of global attractors of reaction diffusion equations under Lipschitz perturbations
Lianglin Li	Wenzhou-Kean University	On the generalization of IFSs
Anna L Mazzucato	Penn State University	Global existence for the 2D Kuramoto-Sivashinsky equation
Mani Mehra	Department of Mathematics, Indian Institute of Technology Delhi, IITD, India	Extension of wavelets/PDEs to topologically complicated domains
Ronghua Pan	Georgia Institute of Technology	Incompressible MHD Without Resistivity: Structure and regularity
Gabriela Planas	Universidade Estadual de Campinas	Dynamics of the Navier-Stokes equations in critical spaces
Maria Alessandra Ragusa	University of Catania	Regularity procedure for solutions of PDEs having discontinous coefficients
Ricardo L Ribeiro	KAUST	Algorithmic detection of conserved quantities for finite- difference schemes
Andrea Scapellato	University of Catania	Interior estimates for elliptic equations in Morrey-type spaces
Athanasios Tzavaras	King Abdullah University of Science and Technology	Axisymmetric flows with swirl for Euler and Navier-Stokes equations
Giusi Vaira	University of Bari Aldo Moro	Blow up solutions on critical problems
Kazuyuki Wada	Hokkaido University of Education	Generalized eigenvalue problem of quantum walks in 1-dimension
Xiang Wang	Jilin University	Exponential spectral process (ESP): High order temporal discretization for semilinear PDEs
Jiayi Wei	Wenzhou-Kean University	Chaos and convergence in 3D H\`{e}non maps
Yuanze Wu	China University of Mining and Technology	Stability of the Caffarelli-Kohn-Nirenberg inequality
Masakazu Yamamoto	Niigata University	Parabolic-scalings on asymptotic expansion of the incompressible Navier-Stokes flow
Yaoyu Zhang	Shanghai Jiao Tong University	Optimistic Sample Size Estimate for Deep Neural Networks
Yifu Zhou	Wuhan University	Singularity formation for the heat flow of the H-system