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Darcy's law in anisothermic porous medium.

Meirmanov, A.M. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Das Verhalten der Ableitungen globaler Lösungen nicht-linearer Wellengleichungen für grosse Zeiten.

Hartmut Pecher (1974)

Manuscripta mathematica

Decacy of solutions of the wave equation with a local nonlinear dissipation.

Mitsuhiro Nakao (1996)

Mathematische Annalen

Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type

Takayoshi Ogawa (2006)

Banach Center Publications

We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.

Decay estimates for the compressible Navier-Stokes equations in unbounded domains.

Klaus Deckelnick (1992)

Mathematische Zeitschrift

Decay estimates for the critical semilinear wave equation

Hajer Bahouri, Jalal Shatah (1998)

Annales de l'I.H.P. Analyse non linéaire

Decay estimates of solutions of a nonlinearly damped semilinear wave equation

Aissa Guesmia, Salim A. Messaoudi (2005)

Annales Polonici Mathematici

We consider an initial boundary value problem for the equation $u_{t t} - Δ u - \nabla ϕ \cdot \nabla u + f (u) + g (u_{t}) = 0$ . We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.

Decay for travelling waves in the Gross–Pitaevskii equation

Philippe Gravejat (2004)

Annales de l'I.H.P. Analyse non linéaire

Decay of solutions of a degenerate hyperbolic equation.

Dix, Julio G. (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain.

Nunes Rabello, Tania (1994)

International Journal of Mathematics and Mathematical Sciences

Decay of solutions of a system of nonlinear Klein-Gordon equations.

Ferreira, José, Perla Menzala, Gustavo (1986)

International Journal of Mathematics and Mathematical Sciences

Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type

Barbara Szomolay (2003)

Commentationes Mathematicae Universitatis Carolinae

In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction $\ddot{u} = - γ \dot{u} + {m (∥ \nabla u ∥}^{2} {) Δ u - δ | u |}^{α} u + f,$ which is known as degenerate if $m (\cdot) \geq 0$ , and non-degenerate if $m (\cdot) \geq m_{0} > 0$ . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of $α$ . Our aim is to extend the validity of previous results in [5] to $α \geq 0$ both to the degenerate and non-degenerate cases of $m$ . We extend our results to equations with...

Decay of solutions of some nonlinear equations.

Aassila, Mohammed (2003)

Portugaliae Mathematica. Nova Série

Decay of solutions of the elastic wave equation with a localized dissipation

Mourad Bellassoued (2003)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Decay of solutions of the wave equation in the exterior of several convex bodies

Mitsuru Ikawa (1988)

Annales de l'institut Fourier

We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincare map of periodic rays in the exterior domain.

Currently displaying 1 – 20 of 43