Blow-up of weak solutions of the Cauchy problem for \((3+1)\)-dimensional equation of plasma drift waves

DOI10.1134/S0965542522010080OpenAlexW4213342640MaRDI QIDQ2116206

M. O. Korpusov, R. S. Shafir

Publication date: 16 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522010080

zbMATH Keywords

nonlinear capacityblow-uplocal solvabilityblow-up time estimatesnonlinear equations of Sobolev type

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Solvability and blow-up of weak solutions of Cauchy problems for \((3+1)\)-dimensional equations of drift waves in a plasma ⋮ On Cauchy problems for nonlinear Sobolev equations in ferroelectricity theory ⋮ A (3+1)-dimensional equation of plasma drift waves perturbed by a singular potential in an infinite parallelepiped

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