Search results for "solution"
showing 10 items of 5638 documents
Multi-parameters rational solutions to the mKdV equation
2021
N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6.
Solutions to the Gardner equation with multiparameters and the rational case
2022
We construct solutions to the Gardner equation in terms of trigonometric and hyperbolic functions, depending on several real parameters. Using a passage to the limit when one of these parameters goes to 0, we get, for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 3. We easily deduce solutions to the mKdV equation in terms of wronskians as well as rational solutions depending on 2N real parameters.
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions
2021
This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distances between moving polyhedra, we derive new existence and uniqueness theorems for sweeping trajectories corresponding to various classes of control functions acting in moving sets. Then we establish quantitative stability results, which provide efficient estimates on the sweeping trajectory dependence on controls and initial values. Our final topic, accomplished in finite-dimensional state spaces, is deriving new necessary optimality and suboptimality conditions for sweeping control systems with endpoint constrain…
"Table 1" of "Measurement of the (anti-)$^{3}$He elliptic flow in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV"
2020
Event-plane resolution $R_{\Psi_{2}}$ of the second harmonic as a function of the collision centrality.
Identification and characterization of aging products in the glyoxal/ammonium sulfate system – implications for light-absorbing material in atmospher…
2012
Abstract. In this study we report the identification of bicyclic imidazoles in aqueous aerosol mimics using HPLC-ESI-MS/MS. 2,2´-Biimidazole was identified to be a major contributor to the 280 nm absorbance band observed in mixtures of glyoxal and ammonium sulfate, despite the fact that its production rate is two orders of magnitude lower than the previously reported production rates of imidazole or imidazole-2-carboxaldehyde. The molar absorptivity of 2,2´-biimidazole was determined to be (36 690±998) M−1 cm−1. This demonstrates the necessity of molecular product identification at trace levels to enable a better understanding of relevant absorbing species. Additionally the forma…
Surface charges at the CaF2/water interface allow very fast intermolecular vibrational-energy transfer
2020
Abstract We investigate the dynamics of water in contact with solid calcium fluoride, where at low pH, localized charges can develop upon fluorite dissolution. We use 2D surface‐specific vibrational spectroscopy to quantify the heterogeneity of the interfacial water (D2O) molecules and provide information about the sub‐picosecond vibrational‐energy‐relaxation dynamics at the buried solid/liquid interface. We find that strongly H‐bonded OD groups, with a vibrational frequency below 2500 cm−1, display very rapid spectral diffusion and vibrational relaxation; for weakly H‐bonded OD groups, above 2500 cm−1, the dynamics slows down substantially. Atomistic simulations based on electronic‐structu…
The maximum carbonyl ratio (MCR) as a new index for the structural classification of secondary organic aerosol components
2021
RATIONALE Organic aerosols (OA) account for a large fraction of atmospheric fine particulate matter and thus are affecting climate and public health. Elucidation of the chemical composition of OA is the key for addressing the role of ambient fine particles at the atmosphere-biosphere interface and mass spectrometry is the main method to achieve this goal. METHODS High-resolution mass spectrometry (HRMS) is on its way to becoming one of the most prominent analytical techniques, also for the analysis of atmospheric aerosols. The combination of high mass resolution and accurate mass determination allows the elemental compositions of numerous compounds to be easily elucidated. Here a new parame…
La reproducción asistida y la filiación. Especial referencia al caso de las parejas de mujeres homosexuales
2018
This paper analyses, in general, the evolution that has had the art. 7.3 LTRHA since its introduction by the Act 3/2007, 15 march. In that way, it shows which has been the legislator´s solution about the use of assisted reproduction tecniques by homosexual women couples. Likewise, it studies which resolutions on the matter have been more relevant in the last years. All this, to set out the legislator´s failure and the need to reformulate the filiation regime in face of the challenge that assisted reproduction implies.
Neutralidad y honorabilidad del árbitro: : De la ética a la diligencia
2021
One of the main principles of arbitration is that the arbitral tribunal must be independent, impartial, neutral and diligent in carrying out its duties throughout the arbitration proceedings. However, the sophistication and complexity of arbitration as an extra-judicial dispute resolution procedure can undermine confidence in the efficiency of the system. In this regard, the professional (arbitral) ethics and the honourability of the arbitrator are of major importance. This article aims to highlight the importance of the neutrality of the arbitrator, the integrity of the arbitration and the reputation of this procedure
Hacia la ley europea del clima: las evaluaciones científicas y el futuro papel de las respuestas jurídicas de los estados miembros
2021
Los problemas climáticos son temas persistentes y omnipresentes dentro de las políticas y legislaciones contemporáneas, que exigen un enfoque interdisciplinario para promover soluciones jurídicas adecuadas para la complejidad del tema. Paradójicamente, las propagandas negacionistas, lejos de bloquear las acciones climáticas, las han propiciado, lo que ha llevado al establecimiento de un organismo científico super partes que reconociese las cuestiones climáticas a través de informes científicos avanzados: el Grupo Intergubernamental de Expertos sobre el Cambio Climático de la ONU (IPCC). Desde entonces, muchos países han usado los hallazgos del IPCC como base científica para desarrollar polí…