Parabolic perturbations of Hamilton–Jacobi equations

• Autorzy: Yakov G. Sinai
• Języki publikacji: EN

Abstrakty

EN

We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.

Kategorie tematyczne

• 70H20: Hamilton-Jacobi equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 157
• Numer: 2-3
• Strony: 299-303

Daty

wydano

1998

otrzymano

1997-10-10

Twórcy

autor

Yakov G. Sinai

• Department of Mathematics, Princeton University, Princeton, New Jersey 08544, U.S.A.

Bibliografia

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• [M] J. Mather, Existence of quasi-periodic orbits for twist homeomorphisms of the annulus, Topology 21 (1982), 457-467.
• [S] Ya. G. Sinai, Two results concerning asymptotic behavior of solutions of the Burgers equation with force, J. Statist. Phys. 64 (1991), 1-12.