Evolution Equations and Operator Semigroups: Theory and Applications
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Organizer(s): |
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Affiliation:
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Country:
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Christian Budde
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University of the Free State
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So Africa
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Introduction:
| | Evolution equations and operator semigroups lie at the heart of modeling dynamic systems across physics, biology, engineering, and beyond. This session aims to unite mathematicians and applied scientists to explore cutting-edge advances, address emerging challenges, and showcase innovative applications of these foundational tools.
Focus areas include well-posedness, asymptotic behavior, nonlinear dynamics, stochastic perturbations, and numerical methods. Applications span control theory, fluid dynamics, population dynamics, and mathematical biology, emphasizing the translation of abstract theory into real-world solutions.
The session will foster interdisciplinary dialogue through invited talks, contributed presentations, and posters, encouraging collaboration between theorists and practitioners. A key goal is to highlight novel methodologies—such as integro-differential techniques, fractional calculus, and non-autonomous systems—while addressing open problems in both classical and modern frameworks.
We particularly welcome contributions bridging abstract operator theory with applied contexts, including infinite-dimensional systems and data-driven approaches. Early-career researchers are urged to participate, enriching the community’s future.
Join us to exchange ideas, stimulate breakthroughs, and shape the next generation of research in this vibrant field. Submit your work and engage in discussions that transcend traditional boundaries, driving progress from theory to impactful applications.
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