Zobrazeno 1 - 10
of 463
pro vyhledávání: '"Carvalho, P. N."'
In this work we study a dissipative one dimensional scalar parabolic problem with non-local nonlinear diffusion with delay. We consider the general situation in which the functions involved are only continuous and solutions may not be unique. We esta
Externí odkaz:
http://arxiv.org/abs/2403.05646
This article deals with the study of a non-local one-dimensional quasilinear problem with continuous forcing. We use a time-reparameterization to obtain a semilinear problem and study a more general equation using semigroup theory. The existence of m
Externí odkaz:
http://arxiv.org/abs/2403.05520
The aim of this paper is to study the robustness of the family of pullback attractors associated to a non-autonomous coupled system of strongly damped wave equations, given by the following evolution system $$\left\{ \begin{array}{lr} u_{tt} - \Delta
Externí odkaz:
http://arxiv.org/abs/2305.05724
In this article, we study a one-dimensional nonlocal quasilinear problem of the form $u_t=a(\Vert u_x\Vert^2)u_{xx}+\nu f(u)$, with Dirichlet boundary conditions on the interval $[0,\pi]$, where $0
Externí odkaz:
http://arxiv.org/abs/2302.04314
If the semigroup is slowly non-dissipative, i.e., its solutions can diverge to infinity as time tends to infinity, one still can study its dynamics via the approach by the unbounded attractors - the counterpart of the classical notion of global attra
Externí odkaz:
http://arxiv.org/abs/2209.13286
In this work, we study continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. First, we study existence and perma
Externí odkaz:
http://arxiv.org/abs/2111.13006
Autor:
Carvalho, Alexandre N., Lappicy, Phillipo, Moreira, Estefani M., Oliveira-Sousa, Alexandre N.
Inertial manifold theory, saddle point property and exponential dichotomy have been treated as different topics in the literature with different proofs. As a common feature, they all have the purpose of `splitting' the space to understand the dynamic
Externí odkaz:
http://arxiv.org/abs/2111.11469
In this paper, we discuss the well-posedness of the Cauchy problem associated with the third-order evolution equation in time $$ u_{ttt} +A u + \eta A^{\frac13} u_{tt} +\eta A^{\frac23} u_t=f(u) $$ where $\eta>0$, $X$ is a separable Hilbert space, $A
Externí odkaz:
http://arxiv.org/abs/2106.03564
Autor:
Thomsen, Lars, Carvalho, Pedro N., Passos, Juliano Souza Dos, Anastasakis, Konstantinos, Bester, Kai, Biller, Patrick
Publikováno v:
Water Research 183 (2020) 116101
The beneficial use of sewage sludge for valorization of carbon and nutrients is of increasing interest while micropollutants in sludge are of concern to the environment and human health. This study investigates the hydrothermal liquefaction (HTL) of
Externí odkaz:
http://arxiv.org/abs/2105.04886
In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustness and existence of exponential dichotomies for nonautonomous random dy
Externí odkaz:
http://arxiv.org/abs/2012.11386