Geodesic
Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1482-1491

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The local dynamics of a system of parabolic equations with strong nonlinearity involving a spatial derivative are studied. The basic critical cases when an equilibrium state becomes unstable are discussed. In all the cases, families of special evolution equations playing the role of normal forms are constructed. 
@article{ZVMMF_2012_52_8_a9,
     author = {I. S. Kashchenko and S. A. Kashchenko},
     title = {Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1482--1491},
     publisher = {mathdoc},
     volume = {52},
     number = {8},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a9/}
}
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I. S. Kashchenko; S. A. Kashchenko. Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1482-1491. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a9/