Exponential attractors for extensible beam equations

From MaRDI portal
Publication:5289703

DOI10.1088/0951-7715/6/3/007zbMath0787.35113OpenAlexW1975451273MaRDI QIDQ5289703

Alp Eden, Albert J. Milani

Publication date: 19 May 1994

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/6/3/007




Related Items

Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanicsExponential attractors of optimal Lyapunov dimension for Navier-Stokes equationsGlobal existence of solutions for a class of thermoelastic plate systemsQualitative results on the dynamics of a Berger plate with nonlinear boundary dampingSTEADY STATES OF THE HINGED EXTENSIBLE BEAM WITH EXTERNAL LOADFinite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundaryAsymptotic finite-dimensional approximations for a class of extensible elastic systemsLong-term damped dynamics of the extensible suspension bridgeRegular global attractors of type III thermoelastic extensible beamsStrong attractors and their robustness for an extensible beam model with energy dampingLong-time dynamics of an extensible plate equation with thermal memoryOn the dynamics of the damped extensible beam 1D-equationLong-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearityOn a beam model with degenerate nonlocal nonlinear dampingStability of strong attractors for the extensible beam equation with gentle dissipationThe well-posedness and attractor on an extensible beam equation with nonlocal weak dampingAttractors and their properties for a class of nonlocal extensible beamsGlobal existence of a coupled Euler-Bernoulli plate system with variable coefficientsA Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter RegimesAttractor for a model of extensible beam with damping on time-dependent spaceUniform attractor of shallow arch motion under moving points loadLongtime behavior for an extensible beam equation with rotational inertia and structural nonlinear dampingGlobal existence and blow-up for the Euler-Bernoulli plate equation with variable coefficientsGlobal dynamics and control of a nonlinear body equation with strong structural dampingGlobal attractor for a model of extensible beam with nonlinear damping and source termsStochastic nonlinear beam equationsLong-time behavior of a model of extensible beams with nonlinear boundary dissipationsThe global attractor for a class of extensible beams with nonlocal weak dampingTime-dependent global attractor for extensible Berger equationGlobal attractors for the extensible thermoelastic beam systemA thorough look at the (in)stability of piston-theoretic beamsAttractors and their stability with respect to rotational inertia for nonlocal extensible beam equationsSteady states of elastically-coupled extensible double-beam systemsLong-time dynamics of a class of nonlocal extensible beams with time delayKAM tori of Hamiltonian perturbations of 1D linear beam equations