Ill-posedness of nonlocal Burgers equations

DOI10.1016/j.aim.2011.04.017zbMath1228.35174OpenAlexW2061680697MaRDI QIDQ550391

Jean-François Coulombel, Sylvie Benzoni-Gavage, Nickolay Tzvetkov

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.aim.2011.04.017

zbMATH Keywords

evolution equationwell-posednessill-posednesselliptic regularity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Second-order elliptic equations (35J15) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (5)

Ill-posedness of the hydrostatic Euler and singular Vlasov equations ⋮ Weakly nonlinear surface waves on the plasma-vacuum interface ⋮ On the amplitude equations for weakly nonlinear surface waves ⋮ Nonlinear surface waves on the plasma-vacuum interface ⋮ Weakly nonlinear surface waves

Cites Work

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• Commutator estimates
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• SHORT-TIME EXISTENCE FOR SCALE-INVARIANT HAMILTONIAN WAVES

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