Geodesic
Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 159-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a model initial–boundary value problem for the Benjamin–Bona–Mahony–Burgers equation with initial conditions having a physical meaning. We prove the unique local solvability in the classical sense and obtain sufficient conditions for blowup and an estimate of the blowup time. To prove the blowup, we use the known test function method developed in papers by V. A. Galaktionov, E. L. Mitidieri, and S. I. Pohozaev. We note that this is one of the first results toward the blowup for the considered equation.
Keywords: blowup, local solvability, Benjamin–Bona–Mahony–Burgers equation. 
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     title = {Local solvability and solution blowup for {the~Benjamin{\textendash}Bona{\textendash}Mahony{\textendash}Burgers} equation with a~nonlocal boundary condition},
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M. O. Korpusov; A. A. Panin. Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 159-172. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a1/

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