Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases
Nonlinearity, ISSN: 1361-6544, Vol: 37, Issue: 5
2024
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Article Description
This paper studies the formation of singularities in smooth solutions of the relativistic Euler equations of Chaplygin gases with cylindrically symmetric rotating structures. This is a nonhomogeneous hyperbolic system with highly nonlinear structures and fully linearly degenerating characteristic fields. We introduce a pair of auxiliary functions and use the characteristic decomposition technique to overcome the influence of the rotating structures in the system. It is verified that smooth solutions develop into a singularity in finite time and the mass-energy density tends to infinity at the blowup point for a type of rotating initial data.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85188930789&origin=inward; http://dx.doi.org/10.1088/1361-6544/ad351c; https://iopscience.iop.org/article/10.1088/1361-6544/ad351c; https://dx.doi.org/10.1088/1361-6544/ad351c; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=7e9d8b18-a1dd-4cb3-8d60-0905120b13c8&ssb=08185299111&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1361-6544%2Fad351c&ssi=91cca92c-cnvj-4d98-acb4-dd462bb4f879&ssk=botmanager_support@radware.com&ssm=45318428914201446509027135492928654&ssn=8714ccc74e7847abe7c5498b1926e553824d3b06693a-ab42-47cc-851446&sso=d7c25a70-560bf8d25e53f4fffa1690b07279e747db62c34f763e9b21&ssp=42857533581735655137173663596396579&ssq=76950831793897642766397305959632660891615&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBjOGQ4M2E0NC01NzY0LTQzMGYtYmU4ZC03ZmU3OTdkYjBhMzMxNzM1Njk3MzA1NTMyOTIwNjMyNzk4LTY0MzVhZmJmOTk4OWVjODM1MDg5NiIsInV6bXgiOiI3ZjkwMDBhM2RlMjYzYS1kM2RjLTQ0MzMtOTg3My02ZmZhOTQ2OTAwOGExMS0xNzM1Njk3MzA1NTMyOTIwNjMyNzk4LWUyMzhmYjZhOGExYjNkMTg1MDg5NiIsInJkIjoiaW9wLm9yZyJ9
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