2,059 research outputs found
Relationship between trade imbalance and the competitiveness of container manufacturing industry in Vietnam
Suggestions for Improving Vietnam Laws on Marine Environment Protection from Contamination Caused by Ship’s Garbage
Due to the fact that Vietnam legal system on marine environmental protection is still inconsistent and deficient, as focusing only on the protection of marine environment either in general or environmental pollution from oil and noxious liquid substances, but lacking a concentration on marine contamination caused by ship’s garbage. It is explained that Vietnam only joined Annexes I and II of International Convention for the Prevention of Pollution from Ships, 1973 as modified by the Protocol of 1978 (hereinafter referred to as the MARPOL 73/78), which serves as a prerequisite condition and fundament of researches and legal system on protection of marine environment. Owing to the lack of in-depth study of the issues, this article is written to describe and analyze the current status of Vietnam laws on the marine environment preservation. Moreover, suggestions for improving the Vietnam legal system on the marine protection from ship’s garbage are suggested in this paper. Keywords: International conventions, improve, Vietnam laws, suggestions, ship’s garbag
Stability for the Boussinesq system on real hyperbolic Manifolds and application
In this paper we study the global existence and stability of mild solution
for the Boussinesq system on the real hyperbolic manifold
(). We will consider a couple of
Ebin-Marsden's Laplace and Laplace-Beltrami operators associated with the
corresponding linear system which provides a vectorial heat semigoup. First, we
prove the existence and the uniqueness of the bounded mild solution for the
linear system by using certain dispersive and smoothing estimates of the
vectorial heat semigroup. Next, using the fixed point arguments, we can pass
from the linear system to the semilinear system to establish the existence of
the bounded mild solution. We will prove the exponential stability of such
solution by using the cone inequality. Finally, we give an application of
stability to the existence of periodic mild solution for the Boussinesq system.Comment: 23 pages. arXiv admin note: substantial text overlap with
arXiv:2209.0780
On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds
In this paper we extend a recent work \cite{HuyXuan2020} to study the forward
asymptotically almost periodic (AAP-) mild solution of Navier-Stokes equation
on the real hyperbolic manifold with dimension . Using the dispertive and smoothing estimates for Stokes equation
\cite{Pi} we invoke the Massera-type principle to prove the existence and
uniqueness of the AAP- mild solution for the Stokes equation in
space with . We then establish the existence and
uniqueness of the small AAP- mild solutions of the Navier-Stokes equation by
using the fixed point argument. The asymptotic behaviour (exponential decay and
stability) of these small solutions are also related. Our results extend also
\cite{FaTa2013} for the forward asymptotic mild solution of the Navier-Stokes
equation on the curved background.Comment: 21 page
On attractor's dimensions of the modified Leray-alpha equation
The primary objective of this paper is to investigate the modified
Leray-alpha equation on the two-dimensional sphere , the square
torus and the three-torus . In the strategy, we
prove the existence and the uniqueness of the weak solutions and also the
existence of the global attractor for the equation. Then we establish the upper
and lower bounds of the Hausdorff and fractal dimensions of the global
attractor on both and . Our method is based on the
estimates for the vorticity scalar equations and the stationary solutions
around the invariant manifold that are constructed by using the Kolmogorov
flows. Finally, we will use the results on to study the lower
bound for attractor's dimensions on the case of .Comment: 24 page
Periodic solutions for Boussinesq systems in weak-Morrey spaces
We prove the existence and polynomial stability of periodic mild solutions
for Boussinesq systems in critical weak-Morrey spaces for dimension
. Those systems are derived via the Boussinesq approximation and
describe the movement of an incompressible viscous fluid under natural
convection filling the whole space . Using certain dispersive
and smoothing properties of heat semigroups on Morrey-Lorentz spaces as well as
Yamazaki-type estimate on block spaces, we prove the existence of bounded mild
solutions for the linear equations corresponding to the Boussinesq system.
Then, we establish a Massera-type theorem to obtain the existence and
uniqueness of periodic solutions to corresponding linear equations on the
half-line by using a mean-ergodic method. Next, using fixed point arguments, we
can pass from linear equations to prove the existence uniqueness and polynomial
stability of such solutions for Boussinesq systems. Finally, we apply the
results to Navier-Stokes equations.Comment: 18 page
Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold
In this work we study the existence and the asymptotic behaviour of the
asymptotically almost periodic mild solutions of the vectorial parabolic
equations on the real hyperbolic manifold (). We will consider the vectorial laplace operator in the sense of
Ebin-Marsden's laplace operator. Our method is based on certain dispertive and
smoothing estimates of the semigroup generated by the linearized vectorial heat
equation and the fixed point argument. First, we prove the existence and the
uniqueness of the asymptotically almost periodic mild solution for the
linearized equations. Next, using the fixed point argument, we can pass from
linearized equations to semilinear equations to prove the existence,
uniqueness, exponential decay and stability of the solutions. Our abstract
results will be applied to the incompressible Navier-Stokes equation and the
semilinear vectorial heat equation.Comment: 20 pages. arXiv admin note: text overlap with arXiv:2101.0330
On stability problem for the stationary Boussinesq system in Morrey-type spaces
In this paper we establish the asymptotic stability of steady solutions for
the Boussinesq systems in the framework of Cartesian product of critical
weak-Morrey spaces on , where . In our strategy,
we first establish the continuity for the long time of the bilinear terms
associated with the mild solutions of the Boussinesq systems, i.e., the
bilinear estimates by using only the norm of the present spaces. As a direct
consequence, we obtain the existence of global small mild solutions and
asymptotic stability of steady solutions of the Boussinesq systems in the class
of continuous functions from to the Cartesian product of critical
weak-Morrey spaces. Our techniques consist interpolation of operators, duality,
heat semigroup estimates , Holder and Young inequalities in block spaces (based
on Lorentz spaces) that are preduals of Morrey-Lorentz spaces. Our results are
generalized the previous ones of the steady Boussinesq systems in weak-
spaces obtained by Hishida [T. Hishida, {\it On a class of Stable Steady flow
to the Exterior Convection Problem}, Journal of Differential Equations, Vol.
141, Iss. 1 (1997), pages 54-85] and Ferreira et al. [L.C.F. Ferreira and E.J.
Villamizar-Roa, {\it On the stability problem for the Boussinesq equations in
weak- spaces}, Commun. Pure Appl. Anal. (2010), Vol. 9, No. 3, pages
667-684] and of the Navier-Stokes equations in Morrey spaces obtained by Kozono
et al. [H. Kozono and M. Yamazaki, {\it The stability of small stationary
solutions in Morrey Spaces of the Navier-Stokes equation}, Indiana University
Mathematics Journal, Vol. 44, No. 4 (1995), pages 1307-1336].Comment: 17 page
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