Shock formation in the dispersionless Kadomtsev–Petviashvili equation
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Publication:2805239
DOI10.1088/0951-7715/29/4/1384zbMath1339.35267arXiv1505.06453OpenAlexW2235659682WikidataQ63460904 ScholiaQ63460904MaRDI QIDQ2805239
Christian Klein, Jens Eggers, Tamara Grava
Publication date: 10 May 2016
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.06453
shock formationdispersionless Kadomtsev-Petviashvili equationdissipative dKP equationmultiscales analysis
Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Catastrophe theory (58K35) Blow-up in context of PDEs (35B44)
Related Items (8)
The quadric ansatz for the mn-dispersionless KP equation, and supersymmetric Einstein–Weyl spaces ⋮ Numerical study of the Kadomtsev–Petviashvili equation and dispersive shock waves ⋮ Singularity theory of plane curves and its applications ⋮ Spatial structure of shock formation ⋮ Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation ⋮ Whitham modulation theory for the Kadomtsev– Petviashvili equation ⋮ The Cauchy problem for the Pavlov equation with large data ⋮ Regular and complex singularities of the generalized thin film equation in two dimensions
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