Special Session 1
Sharp Energy Decay and Stabilization in Dissipative Evolution Equations: From Waves to Fluids
Organizers:
- Maria Grazia Naso (University of Brescia, Italy),
- Valéria Neves Domingos Cavalcanti (Universidade Estadual de Maringá, Brazil)
MSC codes: 35B40, 35Q74, 35B35, 74K10, 76A10
Description: This session is dedicated to precise quantification of stabilization for evolutionary partial differential equations arising in mechanics. A central theme is the derivation of optimal energy decay rates, which depend critically on the nature of the dissipation. We invite contributions on a wide range of models, including: Solid Mechanics: Viscoelastic damping with memory kernels, and thermoelastic damping via thermal diffusion; Fluid Mechanics: The Navier-Stokes equations and models for complex fluids; Coupled Systems: Such as fluid-structure interactions. We encourage works employing advanced techniques like frequency domain methods, Lyapunov functional, semigroup theory and spectral analysis to establish sharp stability results.
Speakers:
- Maria Astudillo, Federal University of Paraná (Brazil)
- Ivana Bochicchio, University of Salerno (Italy)
- Florinda Capone, University of Naples “Federico II” (Italy)
- Marcelo Moreira Cavalcanti, State University of Maringá (Brazil)
- José R. Fernandez García, Universidade de Vigo (Spain)
- Genni Fragnelli, University of Siena (Italy)
- Juan Bautista Limaco Ferrel, Fluminense Federal University (Brazil)
- Maria Carmela Lombardo, University of Palermo (Italy)
- Paola Loreti, Sapienza University of Rome (Italy)
- To Fu Ma, University of Brasilia (Brazil)
- Wladimir Neves, Federal University of Rio de Janeiro (Brazil)
