Work

Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$

Year: 2025

Type: article

Abstract: In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is motivated by the works [51, 52, 8], but is flexible enough to handle both periodic and non-radial initial data.

Source: Cambridge Journal of Mathematics

DOI: 10.4310/cjm.260107044458

Authors: G. Cao-Labora, J. Gómez-Serrano, J. Shi, G. Staffilani

Institutions: Courant Institute of Mathematical Sciences, École Polytechnique Fédérale de Lausanne, New York University, Brown University, Institute for Advanced Study, Indiana University Bloomington, Indiana University, Massachusetts Institute of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7119105700

FWCI: 7.47

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Cited by: 4

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