Stability of Mindlin–Timoshenko plate with nonlinear boundary damping and boundary sources

Systems of Nonlinear Wave Equations with Damping and Supercritical Boundary and Interior Sources

utt −Δu+ g1(ut) = f1(u, v), vtt −Δv + g2(vt) = f2(u, v) in a bounded domain Ω ⊂ Rn with Robin and Dirichlét boundary conditions on u and v respectively. The nonlinearities f1(u, v) and f2(u, v) have supercritical exponents representing strong sources, while g1(ut) and g2(vt) act as damping. In addition, the boundary condition also contains a nonlinear source and a damping term. By employing non...

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Nonlinear stability of Ekman boundary layers

Consider the initial value problem for the three dimensional Navier-Stokes equations with rotation in the half-space R+ subject to Dirichlet boundary conditions as well as the Ekman spiral which is a stationary solution to the above equations. It is proved that the Ekman spiral is nonlinearly stable with respect to L2-perturbations provided the corresponding Reynolds number is small enough. Mor...

Existence and Uniform Decay of Solutions of a Parabolic-Hyperbolic Equation with Nonlinear Boundary Damping and Boundary Source Term