Instantaneous blow-up of solutions to the Cauchy problem for the fractional Khokhlov-Zabolotskaya equation

DOI10.1515/math-2020-0089zbMath1484.35085OpenAlexW3111637305MaRDI QIDQ2053503

Mohamed Jleli

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0089

zbMATH Keywords

Cauchy problemnonlinear capacity methodnonexistence of a local in time classical solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics.
• Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov-Zabolotskaya equation
• Blow-up instability in non-linear wave models with distributed parameters
• Diagnostics of Instant Decomposition of Solution in the Nonlinear Equation of Theory of Waves in Semiconductors
• Instantaneous blow‐up for a fractional in time equation of Sobolev type
• Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)

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