Decay rates for solutions of semilinear wave equations with a memory condition at the boundary

In this paper, we study the stability of solutions for semilinear wave equations whoseboundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exponentially. When the relaxation function decays polinomially, we show that the solution decays polynomially and with the same rate

Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary

In this paper we prove the exponential decay in the case $n>2$, as time goes to infinity, of regular solutions for a nonlinear coupled system of beam equations of Kirchhoff type with memory and weak damping \begin{eqnarray*} &&u_{tt}+\Delta^2 u-M(||\nabla u||^2_{L^2(\Omega_t)}+||\nabla v||^2_{L^2(\Omega_t)})\Delta u\\ &&+\int^{t}_{0}g_1(t-s)\Delta u(s)ds +\alpha u_{t}+h(u-v)=0 \quad \mbox{in} \quad \hat{Q},\\ &&v_{tt}+\Delta^2 v-M(||\nabla u||^2_{L^2(\Omega_t)}+||\nabla v||^2_{L^2(\Omega_t)})\Delta v \\ &&+\int^{t}_{0}g_2(t-s)\Delta v(s)ds + \alpha v_{t}-h(u-v)=0 \quad \mbox{in} \quad \hat{Q} \end{eqnarray*} in a non cylindrical domain of $\mathbb{R}^{n+1}$ $(n\ge1)$ under suitable hypothesis on the scalar functions $M$, $h$, $g_1$ and $g_2$, and where $\alpha$ is a positive constant. We show that such dissipation is strong enough to produce uniform rate of decay. Besides, the coupling is nonlinear which brings up some additional difficulties, which plays the problem interesting. We establish existence and uniqueness of regular solutions for any $n\ge 1$

Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions

In this paper, we investigate a mathematical model for a nonlinear coupled system of Kirchhoff type of beam equations with nonlocal boundary conditions. We establish existence, regularity and uniqueness of strong solutions. Furthermore, we prove the uniform rate of exponential decay. The uniform rate of polynomial decay is considered

Generalized Camassa-Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

In this paper, we consider a member of an integrable family of generalized Camassa-Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals. We derive nonclassical symmetries and we find new symmetries via the nonclassical method, which cannot be obtained by Lie symmetry method. We employ the multiplier method to construct conservation laws for this family of GCH equations. Using the conservation laws of the underlying equation, double reduction is also constructed. Finally, we investigate traveling waves of the GCH equations. We derive convergent series solutions both for the homoclinic and heteroclinic orbits of the traveling-wave equations, which correspond to pulse and front solutions of the original GCH equations, respectively

Tempranillo physiological and agronomical responses to heat and drought stress – perspectives on its vulnerability under climate change scenarios

With the aim to characterize the ability of Tempranillo grapevines, one of the most widely used varieties in Spain and Portugal, to withstand drought and heat stress, ecophysiological and agronomical data from irrigation experiments conducted in the hot and dry region of Alentejo, south of Portugal, are presented. The impact of different irrigation treatments on physiological parameters (leaf water potential, photosynthesis, and stomatal conductance) and water use efficiency are showed. Leaf senescence observed in non-irrigated and deficit irrigated plants and its consequences on cluster exposure and berry temperature are compared with those of fully irrigated plants. The consequences on berry ripening and juice composition are discussed in order to evaluate the vulnerability of Tempranillo to the expected global climatic changeinfo:eu-repo/semantics/publishedVersio

Effect of sodium and nitrogen on yield function of irrigated maize in Southern Portugal

Salinization and nitrate leaching are two of the leading threats to the environment of the European Mediterranean regions. Inefficient use of water and fertilizers has led to a nitrate increase in the aquifers and reduction in crop yields caused by salts. In this study, a triple emitter source irrigation system delivers water, salt (Na+), and fertilizer (N) applications to maize (Zea mays L.). The objective of the study was to evaluate the combined effect of saline water and nitrogen application on crop yields in two different textured soils of Alentejo (Portugal) and to assess if increasing salinity levels of the irrigation water can be compensated by application of nitrogen while still obtaining acceptable crop yield. Maximum yield was obtained from both soils with an application of 13 g m−2 of nitrogen. Yield response to Na+ application was different in the two studied soils and depended on the total amount of Na+ or irrigation water applied. No significant interaction was found between nitrogen and sodium, but a positive effect on maize yield was observed in the medium textured soil for amounts of Na+ less than 905 g m−2 when applied in the irrigation water

Effects of soil management and deficit irrigation strategies on physiological and agronomical responses of Aragonez field-grown grapevines

The use of irrigation in Mediterranean viticulture is now a common practice in intensive grapevine production to improve quality of production. The negative effects of water deficits on grape berry development are well known but the underlying mechanisms remain not fully understood. To avoid the unfavourable impacts of mechanization on the soil structure and biology some farmers are using cover crops on their vineyards. Within this frame we have compared the traditional soil tillage with a high level of mechanization with other system where we maintained a permanent soil cover between the rows. In both soil systems we tested three different irrigation treatments, deficit irrigation (DI - 40% of evapotranspiration (ETc)); regulated deficit irrigation (RDI); partial root drying (PRD) while in the soil cover treatment we also studied the full irrigation (FI) and the non irrigation (NI) treatments. Compared to soil tillage the resident vegetation reduced soil water content during late Spring, before irrigation started, inducing a significant reduction on vine vegetative growth berry weight and yield. Among irrigation strategies only RDI treatment showed a significant reduction in the lateral leaf area development, berry weight and yield when compared to PRD and DI treatments which presented similar values. No significant differences were observed in berry composition either for the two floor management practices or for the three irrigation strategiesinfo:eu-repo/semantics/publishedVersio

Virtualization of pliocene sites in the Huelva province: valuating the paleontological heritage in differentiate educative settings I

El patrimonio paleontológico del Plioceno de la provincia de Huelva es uno de los más importantes de España y referente europeo de moluscos de este período. Sin embargo, no existe un inventario de catalogación básica de los principales yacimientos ni de los principales grupos fósiles presentes, así como de su importancia como patrimonio natural. El presente trabajo pretende rellenar este notable vacío con una proyección tanto hacia materias preuniversitarias como universitarias, así como hacia posibles instituciones y corporaciones públicas susceptibles de utilizarlo en sus planes de ordenación. Por otro lado, se pretende que actúe como mecanismo de interconexión entre titulaciones con bajo número de alumnos de nuevo ingreso y los centros de Bachillerato, de forma que incentive una posible elección de estos Grados por los alumnos de las opciones científico-tecnológicas. También puede ser interesante para captar egresados hacia Másteres Oficiales en Patrimonio Histórico y Natural. En este sentido, se ha realizado un DVD documental sobre el patrimonio paleontológico del Plioceno de la provincia de Huelva, concretamente de las formaciones “Arenas de Huelva” y “Arenas de Bonares” desarrolladas en ambientes marinos someros y costeros durante la última etapa de evolución neógena de la cuenca. Este documental incluye una visión de conjunto de los principales yacimientos fósiles de esta edad, así como una explicación de la evolución paleogeográfica de nuestra provincia y los organismos que la han caracterizado en los últimos millones de años. Esta aportación es aplicable en el trabajo de campo de varios Grados y Posgrados universitarios y de fácil uso como material didáctico en diversas asignaturas de E.S.O. y Bachillerato. Este trabajo se ha realizado en el marco del proyecto de innovación docente (PID nº 10050) de la Universidad de Huelva.The paleontological heritage from the Neogene in the province of Huelva is one of the most important in Spain and it is considered a European reference site for the mollusk fossil record from this period. However, there are not basic inventories neither for the main sites nor the major fossil groups. Furthermore, no inventories exist about their natural heritage importance. This work aims to fill this significant gap for both pre-university and university levels, as well as to public institutions and corporations that may use it in their management plans. In addition, it is intended to act as an linking mechanism between university degrees with low number of first-year students and high school centres, in order to encourage a possible choice of these Bachelor’s degrees by scientific and technological students. It may also be interesting to catch the attention of graduates for Official Masters in Historical and Natural Heritage. In this sense, a DVD-documentary has been made about the paleontological heritage from the Pliocene in the province of Huelva, specifically from the “Arenas de Huelva” and “Arenas de Bonares” formations. These units were developed in shallow marine and coastal environments during the last stage of the Neogene evolution in the Guadalquivir Basin. This documental includes an overview of main marine fossil sites from this age and a brief explanation of the palaeogeographic evolution of the Huelva province during the last million of years. This contribution is useful for the fieldwork at Bachelor and Master Degree level and it is easy to use as teaching materials in different ESO (Obligatory Secondary Teaching) and High School subjects. This work has been support for an Innovation in Teaching Project (PID No. 10050) of the Huelva University

Immunophenotypic characterization of normal blood CD56+lo versus CD56+hi NK‐cell subsets and its impact on the understanding of their tissue distribution and functional properties

Blood Cells Mol Dis. 2001 Jul-Aug;27(4):731-43. Immunophenotypic characterization of normal blood CD56+lo versus CD56+hi NK-cell subsets and its impact on the understanding of their tissue distribution and functional properties. Lima M, Teixeira MA, Queirós ML, Leite M, Santos AH, Justiça B, Orfão A. Service of Clinical Hematology, Unit of Cytometry, Hospital Geral de Santo António, Porto, Portugal. [email protected] Abstract In the present study we have compared the immunophenotypic characteristics of the CD56+lo and CD56+hi NK-cell subsets in a group of normal healthy adults. Our results show that CD56+hi NK-cells display greater light-scatter properties than CD56+lo NK-cells at the same time they have higher levels of CD25 and CD122 IL-2 chains, together with a higher reactivity for HLA-DR and CD45RO and lower levels of CD45RA, supporting that, as opposed to the majority of the CD56+lo population, CD56+hi NK-cells might correspond to a subset of activated circulating NK-lymphocytes. Higher expression of the CD2 and CD7 costimulatory molecules found for the CD56+hi NK-cells would support their greater ability to respond to various stimuli. In addition, CD56+hi NK-cells expressed higher levels of several adhesion molecules such as CD2, CD11c, CD44, CD56, and CD62L compared to CD56+lo NK-cells, supporting a particular ability of these cells to migrate from blood to tissues and/or a potential advantage to form conjugates with target cells. Interestingly, CD56+lo and CD56+hi NK-cells showed a different pattern of expression of killer receptors that might determine different activation requirements for each of these NK-cell subsets. For instance, absence or low levels of CD16 expression might explain the lower antibody-dependent cytotoxicity activity of CD56+hi NK-cells. On the other hand, the virtual absence of expression of the CD158a and NKB1 immunoglobulin-like and the greater reactivity for the CD94 lectin-like killer receptors on CD56+hi in comparison to CD56+lo NK-cells might determine different MHC-class I specificities for both NK-cell subsets, a possibility that deserves further studies to be confirmed. PMID: 11778657 [PubMed - indexed for MEDLINE