Singularity and regularity in nonlinear PDEs
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Berikbol Torebek
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Institute of Mathematics and Mathematical Modeling
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Kazakhstan
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Matteo Muratori
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Politecnico di Milano
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Italy
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Introduction:
| | This session explores the interplay between singularity formation and regularity in nonlinear partial differential equations (PDEs), which are central to modeling complex physical, biological, and geometric phenomena. Nonlinear PDEs often exhibit intricate solution behavior, where smooth initial data can lead to singularities — points where the solution becomes undefined, discontinuous or blows up — in finite time. Conversely, under certain structural conditions, these equations may admit globally regular and bounded solutions.
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