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DAMPED WAVE EQUATIONS WITH FAST GROWING DISSIPATIVE NONLINEARITIES
(AMER INST MATHEMATICAL SCIENCES, 2009)
Let a > 0, Omega subset of R(N) be a bounded smooth domain and - A denotes the Laplace operator with Dirichlet boundary condition in L(2)(Omega). We study the damped wave problem {u(tt) + au(t) + Au - f(u), t > 0, u(0) = ...
Propagação de trincas em meios elásticos lineares via método dos elementos finitos generalizados com estratégia global-local automatizada
(Universidade Federal de Minas GeraisUFMG, 2019-02-25)
This master's thesis presents the automation of the global-local strategy under the Generalized Finite Element Method approach, evaluating its performance in the analysis of two-dimensional problems of Linear Elastic Frature ...
Existence and asymptotic behavior for a singular parabolic equation
(AMER MATHEMATICAL SOC, 2005)
We prove global existence of nonnegative solutions to the singular parabolic equation ut - Deltau+chi ({u> 0})(- u(-beta) +lambdaf(u)) = 0 in a smooth bounded domain Omega subset of R-N with zero Dirichlet boundary condition ...
Proximal regularization for the saddle point gradient dynamics
(2021)
This paper concerns the solution of a convex optimization
problem through the saddle point gradient dynamics.
Instead of using the standard Lagrangian as is classical in this
method, we consider a regularized Lagrangian ...
Regularity of solutions on the global attractor for a semilinear damped wave equation
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wave equation u(tt) + 2 eta A(1/2)u(t) + au(t) + Au = f (u) in H-0(1)(Omega) x L-2 (Omega), where Omega is a bounded smooth ...
A limiting problem for local/non-local p-Laplacians with concave–convex nonlinearities
(Birkhauser Verlag Ag, 2020-12)
In this manuscript, we deal with an equation involving a combination of quasi-linear elliptic operators of local and non-local nature with p-structure, and concave?convex nonlinearities. The prototypical model is given by ...
Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities
(2019)
We study the existence of monotone wavefronts for a general family of bistable reaction-diffusion equations with delayed reaction term g. Differently from previous works, we do not assume the monotonicity of g(u, v) with ...
Dynamics of the viscous Cahn-Hilliard equation
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We study generalized viscous Cahn-Hilliard problems with nonlinearities satisfying critical growth conditions in W-0(1,p)(Omega), where Omega is a bounded smooth domain in R-n, n >= 3. In the critical growth case, we prove ...