Zobrazeno 1 - 10
of 127
pro vyhledávání: '"Pazoto, A. F."'
We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observability theorems. Then we prove various exact controllability and rapid unif
Externí odkaz:
http://arxiv.org/abs/2311.09844
We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weakly nonlinear gravity waves in a stratifed fluid. Due to the nature of
Externí odkaz:
http://arxiv.org/abs/2302.13443
Autor:
Pazoto, Ademir F., Soto, Miguel
The paper deals with the controllability properties of the Kawahara equation posed on a periodic domain. We show that the equation is exactly controllable by means of a control depending only on time and acting on the system through a given shape fun
Externí odkaz:
http://arxiv.org/abs/2212.00158
Autor:
Pazoto, Ademir F., Soto, Miguel
This work is devoted to prove the exponential decay for the energy of solutions of a higher order Korteweg -de Vries (KdV)--Benjamin-Bona-Mahony (BBM) equation on a periodic domain with a localized damping mechanism. Following the method in [11], whi
Externí odkaz:
http://arxiv.org/abs/2212.00155
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Akademický článek
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In this paper we study a convection-diffusion equation on a star-shaped graph composed by $n$ incoming edges and $m$ outgoing edges with a nonlinearity $f\in C^1(\rr)$ satisfying some additional general conditions. First, we prove the global well-pos
Externí odkaz:
http://arxiv.org/abs/1904.08309
Publikováno v:
Evolution Equations & Control Theory, 9(3) (2020)
In this paper we consider the problem of controlling pointwise, by means of a time dependent Dirac measure supported by a given point, a coupled system of two Korteweg-de Vries equations on the unit circle. More precisely, by means of spectral analys
Externí odkaz:
http://arxiv.org/abs/1808.03721
Publikováno v:
Nonlinearity 32 (2019)
A family of Boussinesq systems has been proposed to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investigate the well-posedness and boundary stabilization of the generalized
Externí odkaz:
http://arxiv.org/abs/1712.08452
Autor:
Pazoto, Ademir F.1 (AUTHOR) ademir@im.ufrj.br, Vieira, Miguel D. Soto1 (AUTHOR)
Publikováno v:
Applied Mathematics & Optimization. Oct2023, Vol. 88 Issue 2, p1-22. 22p.