Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
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Publication:5958912
DOI10.1016/S0362-546X(00)00170-XzbMath0992.35043MaRDI QIDQ5958912
Seifeddine Snoussi, Slim Tayachi
Publication date: 20 March 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)
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Cites Work
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- Non-existence of global solutions to systems of semi-linear parabolic equations
- Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
- Geometric theory of semilinear parabolic equations
- Boundedness and blow up for a semilinear reaction-diffusion system
- New results on the Cauchy problem for parabolic systems and equations with strongly nonlinear sources
- A semilinear parabolic system in a bounded domain
- A generalization of a theorem by Kato on Navier-Stokes equations
- Mathematical problems from combustion theory
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- The role of critical exponents in blow-up theorems: The sequel
- On the Navier-Stokes initial value problem. I
- On the nonstationary Navier-Stokes systems
- Maximal Subspaces of Besov Spaces Invariant Under Multiplication by Characters
- Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
- Global existence and uniqueness of a reaction–diffusion system via invariant solutions
- Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
- Self-similar solutions for navier-stokes equations in
- Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term
- Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
- Asymptotically self-similar global solutions of a general semilinear heat equation
- Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
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