Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday

Serena Dipierro; Luca Lombardini; Serena Dipierro; Luca Lombardini

doi:10.3934/mine.2023050

Mathematics in Engineering

2023, Volume 5, Issue 3: 1-9. doi: 10.3934/mine.2023050

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Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday

Serena Dipierro ^{1
,
,},
Luca Lombardini ²

1.
Department of Mathematics and Statistics, University of Western Australia, 35 Stirling Highway, WA6009 Crawley, Australia
2.
Institute for Analysis and Scientific Computing, Technische Universität Wien, Wiedner Hauptstraße 8–10, 1040 Vienna, Austria

Received: 17 August 2022 Revised: 18 August 2022 Accepted: 18 August 2022 Published: 19 August 2022

Partial differential equations are a classical and very active field of research. One of its salient features is to break the rigid distinction between the evolution of the theory and the applications to real world phenomena, since the two are intimately intertwined in the harmonious development of such a fascinating and multifaceted topic of investigation.
- partial differential equations,
- rigidity, symmetry and classification results,
- regularity theory,
- nonlocal equations,
- applications
Citation: Serena Dipierro, Luca Lombardini. Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday[J]. Mathematics in Engineering, 2023, 5(3): 1-9. doi: 10.3934/mine.2023050

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Abstract

Partial differential equations are a classical and very active field of research. One of its salient features is to break the rigid distinction between the evolution of the theory and the applications to real world phenomena, since the two are intimately intertwined in the harmonious development of such a fascinating and multifaceted topic of investigation.

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