
About
Anna Rozanova-Pierrat is a researcher affiliated with the Laboratory Mathematics and Computer Science for Complexity and Systems, focusing on advanced mathematical analysis, partial differential equations, and their applications in acoustics and engineering. Her work emphasizes boundary value problems, fractal geometries, and optimization techniques for irregular domains.
Key research areas include:
- Nonlinear acoustics and wave propagation
- Optimal shape design for acoustic absorption
- Fractal boundary analysis in heat diffusion and PDEs
- Inverse problems and microwave imaging
Her recent studies (2023–2025) explore:
- Mathematical foundations of Kuznetsov and Khokhlov-Zabolotskaya-Kuznetsov equations
- Stability and compactness in non-Lipschitz domains
- Poincaré-Steklov operator applications to fractal interfaces
Publications highlight collaborations with institutions like the University of Pisa (Italy) and the University of Bremen (Germany), addressing both theoretical and applied aspects of complex systems. She has contributed to over 30 peer-reviewed articles and co-authored works on fractal engineering and optimal acoustic design.
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