Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

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The seventh International Conference on Evolution Equations and their applications took place from October 30 to November 4 at the CIRM in Trento, Italy. This event aimed to unite leading experts in the field, fostering collaboration between established scientists and emerging researchers, as well as bridging pure and applied disciplines. The conference expanded its focus to include not only Physical and Life Sciences but also Industry and Economics. Key topics addressed recent advances in various areas, including moving boundary problems, asymptotics in non-linear Volterra equations, and Poincare inequalities on stratified sets. Other discussions included time operators and Markov processes in physics, the behavior of granular matter, stochastic aspects of the Hamilton-Jacobi-Bellman equation, and Paley-Wiener results applicable to classical and generalized functions. Additionally, the conference covered Ornstein-Uhlenbeck operators and processes, quasilinear PDEs with memory operators, and a semi-group approach in economics related to pricing theory. Other notable topics included convolution-evolution equations in aeroelasticity, advancements in age-structured models, and developments in maximal regularity.