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• W2964071707 abstract "We consider the following parabolic system whose nonlinearity has no gradient structure:{∂tu=Δu+epv,∂tv=μΔv+equ,u(⋅,0)=u0,v(⋅,0)=v0,p,q,μ>0, in the whole space RN. We show the existence of a stable blowup solution and obtain a complete description of its singularity formation. The construction relies on the reduction of the problem to a finite dimensional one and a topological argument based on the index theory to conclude. In particular, our analysis uses neither the maximum principle nor the classical methods based on energy-type estimates which are not supported in this system. The stability is a consequence of the existence proof through a geometrical interpretation of the quantities of blowup parameters whose dimension is equal to the dimension of the finite dimensional problem." @default.
• W2964071707 created "2019-07-30" @default.
• W2964071707 creator A5014048049 @default.
• W2964071707 creator A5046218817 @default.
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• W2964071707 date "2018-06-01" @default.
• W2964071707 modified "2023-10-17" @default.
• W2964071707 title "Blowup solutions for a reaction–diffusion system with exponential nonlinearities" @default.
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• W2964071707 doi "https://doi.org/10.1016/j.jde.2018.02.022" @default.
• W2964071707 hasPublicationYear "2018" @default.
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