Recent advances in wavelet analysis, PDEs and dynamical systems – part III
 Organizer(s):
Name:
Affiliation:
Country:
Emanuel Guariglia
Kean University
USA
 
 Introduction:  
  This session is a follow-up of the SS134 - AIMS ABU DHABI 2024. We focus our attention on recent interconnections between wavelet analysis, PDEs and dynamical systems – including pure analysis and applications. More precisely, we intend to deal with the interconnection between these three research fields. Particular emphasis will be given to all the applications in fractal geometry and related areas. Our goal is to bring together scholars working in PDEs, nonlinear analysis and dynamical systems, in order to report the newest progress, exchange ideas and forge new cooperation.. The following is a non-exhaustive list of topics to be discussed in this session. • Wavelet methods for PDEs • Self-similar solutions • Analysis on fractals • Analytical 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