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Gunnar Peng uses asymptotic numerical methods to study multi-scale phenomena involving viscous flows coupled with elasticity, capillarity, chemical activity, electricity, buoyancy, and porosity. His work focuses on developing and applying advanced mathematical techniques to model and analyze complex physical systems, contributing to the fields of applied mathematics and engineering. In addition to his research contributions, he is actively involved in collaborative projects and offers supervision for research degrees, bridging the gap between theoretical mathematics and real-world applications. As a Lecturer in the Department of Mathematics at University College London, he engages with both undergraduate and graduate students, fostering a strong academic environment.