The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Global existence and large time asymptotic bounds of L solutions of thermal diffusive combustion systems on n

Asymptotics for multifractal conservation laws

Piotr Biler, Grzegorz Karch, Wojbor Woyczynski (1999)

Studia Mathematica

Similarity:

We study asymptotic behavior of solutions to multifractal Burgers-type equation u t + f ( u ) x = A u , where the operator A is a linear combination of fractional powers of the second derivative - 2 / x 2 and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the L p -norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions. ...

Improved estimates for the Ginzburg-Landau equation : the elliptic case

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the G L -energy E ε and the parameter ε . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.