61 citations · 170 across the 25 of their papers we have counts for
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math.AP2015
Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities
Philippe Souplet, Slim Tayachi
We study positive blowing-up solutions of systems of the form: with and . We prove single-point blow-up for large…
math.AP2015
The profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation
Alessio Porretta, Philippe Souplet
We consider the diffusive Hamilton-Jacobi equation with Dirichlet boundary conditions in two space dimensions, which arises in the KPZ model of growing int…
math.AP2015
A Liouville-type theorem for the -dimensional parabolic Gross-Pitaevskii and related systems
Quoc Hung Phan, Philippe Souplet
We prove a Liouville-type theorem for semilinear parabolic systems of the form in the whole space…
math.AP2015
Improved conditions for single-point blow-up in reaction-diffusion systems
Nejib Mahmoudi, Philippe Souplet, Slim Tayachi
We study positive blowing-up solutions of the system: as well as of some more general systems. For any , we prove single-point blo…