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In this paper, we provide a dissipative Hamiltonian (DH) characterization for the set of matrices whose eigenvalues belong to a given LMI region. This characterization is a generalization of that of Choudhary et al. (Numer. Linear Algebra Appl, 2020) to any LMI region. It can be used in various contexts, which we illustrate on the nearest Ω-stable matrix problem: given an LMI region $ \Omega \subseteq {\mathbb C} $ Ω ⊆ C and a matrix $ A \in {\mathbb R}^{n \times n} $ A ∈ R n × n , find the nearest matrix to A whose eigenvalues belong to Ω. Finally, we generalize our characterization to more general regions that can be expressed using LMIs involving complex matrices. [ABSTRACT FROM AUTHOR]

Sloshing in coaxial shells partially filled with liquid is investigated using reduced boundary element method. Conical shells are considered as storage tanks. An ideal and incompressible fluid is assumed in the shells. The spectral boundary problem for the liquid vibrations in rigid shells is solved. The results demonstrate the high accuracy of the presented approach. [ABSTRACT FROM AUTHOR]

This research investigates liquid sloshing in a 3D rigid rectangular tank. The impact of rigid baffle on sloshing frequencies has been studied. The mathematical model has been developed using potential theroy. The boundary value problem has an analytical solution in terms of velocity potential with undetermined frequency. We get a system of homogeneous algebraic equations using boundary and free surface conditions. The frequencies are calculated using the non-trivial solution condition. Frequencies of baffled tank are computed for various filling levels. The effects of filling level on frequencies are identified. ANSYS software is used to report the liquid domain and rigid baffle mode forms. [ABSTRACT FROM AUTHOR]

Background: Uterine anomalies arise if there is agenesis of one or two mullerian ducts, or absence of fusion or reabsorption of the septum between these ducts. The process may be partial or total and affect one or multiple parts of the tract. Aims: This study was done to assess the distribution of various types of mullerian anomalies in infertile women, their classification based on ESHRE and AFS, associated anomalies, types of diagnostic modalities used, surgical interventions done(if any), various types of infertility treatment used and their outcomes. Setting and Design: A retrospective analysis in a tertiary level hospital. Materials and Methods: This was a retrospective study in which the women found to have mullerian anomalies were recruited from infertility clinic from July 2019 to March 2020.They were classified according to ESHRE and AFS criteria and their records were analyzed after taking various factors like age, ovarian reserve, duration of infertility, treatment given , associated ovarian and tubal factors and pregnancy outcomes. Statistical Analysis: Analysis was performed in Excel. Results: There were 30 women with mullerian anomalies. Unicornuate uterus was most common anomaly.Four women required septoplasty in view of septate uterus. Five women had associated renal anomalies in form of shrunken kidney and ectopic kidney. Most of these women were considered for controlled ovarian stimulation followed by intrauterine insemination. In our study 16.6% women had successful pregnancy outcome. Conclusion: Mullerian anomalies continue to attract infertility specialist as they pose challenge in making clear diagnosis and its management as obstetrics outcomes are excellent after septum resection in women with septate uterus and conservative management in women with other anomalies. Proper work up of infertility and its management varies from case to case and associated factors like endometriosis, male factor, polycystic ovarian syndrome etc. [ABSTRACT FROM AUTHOR]