Instantaneous blow-up of solutions to the Cauchy problem for the fractional Khokhlov-Zabolotskaya eq...
Instantaneous blow-up of solutions to the Cauchy problem for the fractional Khokhlov-Zabolotskaya equation
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Warsaw: De Gruyter
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English
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Warsaw: De Gruyter
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In this paper, we consider the Cauchy problem for a second-order nonlinear equation with mixed fractional derivatives related to the fractional Khokhlov-Zabolotskaya equation. We prove the nonexistence of a classical local in time solution. The obtained instantaneous blow-up result is proved via the nonlinear capacity method.
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Instantaneous blow-up of solutions to the Cauchy problem for the fractional Khokhlov-Zabolotskaya equation
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TN_cdi_doaj_primary_oai_doaj_org_article_25f000b9b8fe46dab08259a497f00ac7
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_25f000b9b8fe46dab08259a497f00ac7
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ISSN
2391-5455
E-ISSN
2391-5455
DOI
10.1515/math-2020-0089
