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We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.

Existence d'ondes de raréfaction pour des écoulements isentropiques

S. Alinhac (1986/1987)

Séminaire Équations aux dérivées partielles (Polytechnique)

Existence et comportement asymptotique en temps des solutions de Navier-Stokes Coriolis dans une bande tridimensionnelle

Violaine Roussier-Michon (2003/2004)

Séminaire Équations aux dérivées partielles

Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique

Jean-François Léon (1987)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation

Teresa D'Aprile, Angela Pistoia (2009)

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

Existence of a solution for a nonlinearly elastic plane membrane “under tension”

Daniel Coutand (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of $ℝ^{3}$ , is equivalent to finding the critical points...

Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity

Youcef Amirat, Didier Bresch, Jérôme Lemoine, Jacques Simon (1999)

Rendiconti del Seminario Matematico della Università di Padova

Currently displaying 61 – 80 of 114

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Displaying 61 – 80 of 114

Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity.

Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary.

Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms

Existence de la trace initiale pour des solutions d'une équation parabolique dégénérée

Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms

Existence d'ondes de raréfaction pour des écoulements isentropiques

Existence et comportement asymptotique en temps des solutions de Navier-Stokes Coriolis dans une bande tridimensionnelle

Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique

Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation

Existence of a solution for a nonlinearly elastic plane membrane “under tension”

Existence of absorbing set for a nonlinear wave equation.

Existence of blowup solutions for nonlinear problems with a gradient term.

Existence of global solution of a nonlinear wave equation with short-range potential

Existence of global solutions for systems of reaction-diffusion equations on unbounded domains.

Existence of global solutions to a quasilinear wave equation with general nonlinear damping.

Existence of global solutions to the Cauchy problem for the seminlinear dissipative wave equations.

Existence of positive solutions for $p (x)$ -Laplacian problems.

Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of $ℝ^{n}$ .

Existence of pullback attractors for the coupled suspension bridge equations.

Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity

Currently displaying 61 – 80 of 114