Geodesic
Blowup in Korteweg--de Vries-type systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 197-206

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We consider a pair Korteweg–de Vries system of the Boussinesq type and its symmetric analogue. Such systems, which describe the behavior of a liquid in a channel, are shown to have no solutions defined globally in time under certain conditions. Using the method of nonlinear capacity, we obtain sufficient conditions for the solution blowup and estimate the blowup time for both these systems and for a generalized multicomponent Korteweg–de Vries-type system.
Keywords: Korteweg–de Vries-type system of equations, initial and boundary value problem, solvability global in time.
Mots-clés : Boussinesq-type system 
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     author = {E. V. Yushkov},
     title = {Blowup in {Korteweg--de} {Vries-type} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {197--206},
     publisher = {mathdoc},
     volume = {173},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a1/}
}
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E. V. Yushkov. Blowup in Korteweg--de Vries-type systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 197-206. http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a1/