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Item 20/20 Vision on Implementation: Powerful Geography, Project Management, and the Scales of Educational Institutions(The Grosvenor Center for Geographic Education, 2018) Larsen, Thomas BarclayIt is not enough for national and international institutions to pledge support to advance geography in education. Transformation happens among the overlapping contexts of states, provinces, counties, cities, and school districts. Large-scale efforts in American geographic education have taken for granted the complexities of institutions at overlapping scales, with special attention to place-level contexts. Powerful Geography employs an empirical approach to tailor career-based geographic knowledge to the standards and curricula that classroom teachers use. To implement this initiative, geographers must think critically and pragmatically about project management in the local and regional settings of institutions that adopt and design curricula. A critical mindset reveals that institutions have limits to their effectiveness at different scales; those limits can result in uneven management across the educational landscape. A pragmatic mindset combines a humanistic appreciation of localities and practical decision-making to improve prospects for Powerful Geography's implementation and impact on students' career readiness in their communities and regions. Powerful Geography requires 20/20 vision to correct for the limitations of either top-down or bottom-up approaches to institutional implementation. This paper advocates for seeing more clearly the broader institutional mosaic and developing management strategies for diffusing capabilities-driven geography education.Item 2023 Race, Ethnicity, and Place XII Conference Summary(2023-10) Blue, SarahThis is the Race, Ethnicity, and Place XII Conference Summary.Item A Baker’s Dozen of Influential and Exemplar Pre-2000 Publications for the College Reading and Study Strategies Field(Texas State University, The Education Institute, 2022-09-26) Stahl, Norman; Armstrong, SonyaThroughout the 20th century, a limited number of scholarly oriented books and monographs were issued that should have had great influence on later theory, research, and praxis associated with the college reading and study strategies field. Yet, these works have been, at least to some extent, lost to the winds of time. The lessons that can be learned from each text are important as we move through the reform era of the first three decades of the 21st century. This manuscript is intended to provide a review of selected foundational works of the 20th century of which early-career and established scholars in the field of college reading and learning strategies should have a working knowledge.Item A bidimensional bi-layer shallow-water model(Texas State University, Department of Mathematics, 2017-07-05) Roamba, Brahima; Zabsonre, Jean de DieuThe existence of global weak solutions in a periodic domain for a non-linear viscous bi-layer shallow-water model with capillarity effects and extra friction terms in a two-dimensional space has been proved in [21]. The main contribution of this article is to show the existence of global weak solutions without friction term or capillary effect following the ideas of [20] for the two dimensional case.Item A Black Woman's Choice: Depo-provera and Reproductive rights(Texas State University, Center for Diversity and Gender Studies, 2011-09) Jackson, Nicole M.African American and Black British women exhibited a complicated relationship with reproductive rights activism in the 1970s and 1980s. As women's health work developed in both countries and focused their attention on abortion or expanding women's access to birth control methods, Black women were often wary of these newfound "freedoms." Much of this disagreement centered on the ways in which "choice" had been defined by mainstream society. Black women's participation in the women's health movement attempted to develop a more complicated definition of choice to demonstrate that more contraceptive options for White women could also means fewer choices for Black women. They provided a critique of reproductive abuses that centered race, class, and immigration status as significant arbiters of Black women's health status. They demonstrated a deep-seated hostility and mistrust of medical professionals who they saw as working to systematically strip Black women of their reproductive freedom. They believed that their doctors saw them as incapable of controlling their fertility and used this as a reason to rob them of their agency. Opposition to Depo-Provera provides one demonstration of the complexity of this issue and illustrates that Black women's reproductive rights activism was as much about protecting Black women's bodies and safeguarding Black motherhood, as forestalling it. And in this ways they connected reproductive health with the general health of all Black women, and at times the Black community as a whole. In this way, they made reproductive rights a distinct domain of women of color, poor women and, at times, Black people writ large.Item A blow-up result for a viscoelastic system in ℝn(Texas State University-San Marcos, Department of Mathematics, 2007-08-18) Kafini, Mohammad; Messaoudi, Salim A.In this paper we consider a coupled system of nonlinear viscoelastic equations. Under suitable conditions on the initial data and the relaxation functions, we prove a finite-time blow-up result.Item A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term(Texas State University-San Marcos, Department of Mathematics, 2006-05-20) Zhang, ZhijunBy a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions to the semilinear elliptic problem Δu - |∇u|q = b(x)g(u), u > 0 in Ω, u|∂Ω = +∞, where Ω is a bounded domain in ℝN with smooth boundary, q ∈ (1, 2], g ∈ C[0, ∞) ∩ C1 (0, ∞), g(0) = 0, g is increasing on [0, ∞), and b is non-negative non-trivial in Ω, which may be singular or vanishing on the boundary.Item A Brezis-Nirenberg problem on hyperbolic spaces(Texas State University, Department of Mathematics, 2019-05-13) Carriao, Paulo Cesar; Lehrer, Raquel; Miyagaki, Oliimpio Hiroshi; Vicente, AndreWe consider a Brezis-Nirenberg problem on the hyperbolic space ℍn. By using the stereographic projection, the problem becomes a singular problem on the boundary of the open ball B1(0) ⊂ ℝn. Thanks to the Hardy inequality, in a version due to Brezis-Marcus, the difficulty involving singularities can be overcame. We use the mountain pass theorem due to Ambrosetti-Rabinowitz and Brezis-Nirenberg arguments to obtain a nontrivial solution.Item A characterisation of infinity-harmonic and p-harmonic maps via affine variations in L-infinity(Texas State University, Department of Mathematics, 2017-01-26) Katzourakis, NikosLet u : Ω ⊆ ℝn → ℝN be a smooth map and n, N ∈ ℕ. The ∞-Laplacian is the PDE system ∆∞u ≔ (Du ⊗ Du + |Du|2 [Du]⊥ ⊗ I) : D2u = 0, where [Du]⊥ ≔ ProjR(Du)⊥. This system constitutes the fundamental equation of vectorial Calculus of Variations in L∞, associated with the model functional E∞(u, Ω′) = ∥|Du|2∥L∞(Ω′), Ω′ ⋐ Ω. We show that generalised solutions to the system can be characterised in terms of the functional via a set of designated affine variations. For the scalar case N = 1, we utilise the theory of viscosity solutions by Crandall-Ishii-Lions. For the vectorial case N ≥ 2, we utilise the recently proposed by the author theory of D-solutions. Moreover, we extend the result described above to the p-Laplacian, 1 < p < ∞.Item A characterization of balls using the domain derivative(Texas State University-San Marcos, Department of Mathematics, 2006-12-14) Didenko, Andriy; Emamizadeh, BehrouzIn this note we give a characterization of balls in ℝN using the domain derivative. As a byproduct we will show that an overdetermined Stekloff eigenvalue problem is solvable if and only if the domain of interest is a ball.Item A class of nonlinear differential equations on the space of symmetric matrices(Southwest Texas State University, Department of Mathematics, 2004-08-06) Dragan, Vasile; Freiling, Gerhard; Hochhaus, Andreas; Morozan, ToaderIn the first part of this paper we analyze the properties of the evolution operators of linear differential equations generating a positive evolution and provide a set of conditions which characterize the exponential stability of the zero solution, which extend the classical theory of Lyapunov. In the main part of this work we prove a monotonicity and a comparison theorem for the solutions of a class of time-varying rational matrix differential equations arising from stochastic control and derive existence and (in the periodic case) convergence results for the solutions. The results obtained are similar to those known for matrix Riccati differential equations. Moreover we provide necessary and sufficient conditions which guarantee the existence of some special solutions for the considered nonlinear differential equations as: maximal solution, stabilizing solution, minimal positive semi-definite solution. In particular it turns out that under the assumption that the underlying system satisfies adequate generalized stabilizability, detectability and definiteness conditions there exists a unique stabilizing solution.Item A Class of Nonlinear Elliptic Variational Inequalities: Qualitative Properties and Existence of Solutions(Southwest Texas State University, Department of Mathematics, 2002-02-09) Korkut, Luka; Pasic, Mervan; Zubrinic, DarkoWe study a class of nonlinear elliptic variational inequalities in divergence form. In the recent paper [6], we obtained results on the local control of essential infimum and supremum of solutions of quasilinear elliptic equations, and here we extend this point of view to the case of variational inequalities. It implies a new qualitative property of solutions in W1,p(Ω) which we call ``jumping over the control obstacle.'' Using the Schwarz symmetrization technique, we give an existence and symmetrization theorems in W1,p0(Ω) ∩ L∞(Ω) which agree completely with previous qualitative results. Also we consider generating singularities of weak solutions in W1,p(Ω) of variational inequalities.Item A classical solution weakened on the axis for a mixed problem of inhomogeneous hyperbolic equations(Southwest Texas State University, Department of Mathematics, 2003-10-09) Al-Momani, RaidThe main purpose of this paper is to present sufficient conditions, on the forcing term of a mixed problem for three dimensional hyperbolic equations of any even order, for the existence of axially weakened classical solutions.Item A Comparative Analysis of Geographical Education in Japan and Myanmar(The Grosvenor Center for Geographic Education, 2002) Win, Hla HlaTo assess the current status of geographical education in Myanmar’s junior high school curriculum, the geographical education of Japan was used as a comparative reference. The standards measured in the Survey on the State of Geographical Education around the World, conducted by the International Geographical Union in 1999-2000, provided the criteria for comparison. A small survey was also carried out to confirm the comparative assessments made by this researcher for both of the countries. The current geographical education of Japan was found to be more adequate for preparing active twenty-first century citizens. The current geographical education of Myanmar needs to be developed to meet international standards and the policy of the country.Item A comparison principle for a class of subparabolic equations in Grushin-type spaces(Texas State University-San Marcos, Department of Mathematics, 2007-02-14) Bieske, ThomasWe define two notions of viscosity solutions to subparabolic equations in Grushin-type spaces, depending on whether the test functions concern only the past or both the past and the future. We then prove a comparison principle for a class of subparabolic equations and show the sufficiency of considering the test functions that concern only the past.Item A comparison principle for an American option on several assets: Index and spread options(Southwest Texas State University, Department of Mathematics, 2003-07-07) Laurence, Peter; Stredulinsky, EdwardUsing the method of symmetrization, we compare the price of the American option on an index or spread to that of the solution of a parabolic variational inequality in one spatial variable. This comparison principle is established for a broad class of diffusion operators with time and state dependent coefficients. The purpose is to take a first step towards deriving symmmetrized problems whose solutions bound solutions of multidimensional American option problems with variable coefficients when the computation of the latter lies beyond the scope of the most powerful numerical methods.Item A Conceptual Framework for Developing the Female Entrepreneurship Literature(Texas State University, Center for Diversity and Gender Studies, 2010-03) Parker, Betty J.Over the past 30 years, a great deal of research has been undertaken to enhance understanding of individual and organizational characteristics associated with entrepreneurship in general and women entrepreneurs in particular. As the scholarly study of female entrepreneurs and their businesses increases, a clearer understanding of women entrepreneurs and their businesses has begun to emerge. This paper contributes to the entrepreneurship literature by organizing the research stream about female entrepreneurs into several key areas, taking a critical and timely look at the key issues, and providing recommendations for addressing gaps in the literature.Item A counterexample to an endpoint bilinear Strichartz inequality(Texas State University-San Marcos, Department of Mathematics, 2006-12-05) Tao, TerenceThe endpoint Strichartz estimate ∥eit∆ƒ∥L2t L∞x(ℝxℝ2 ≲ ∥ƒ∥L2x(ℝ2) is known to be false by the work of Montgomery-Smith [2], despite being only “logarithmically far” from being true in some sense. In this short note we show that (in sharp contrast to the Lpt,x Strichartz estimates) the situation is not improved by passing to a bilinear setting; more precisely, if P, P′ are non-trivial smooth Fourier cutoff multipliers then we show that the bilinear estimate ∥(eit∆Pƒ) (eit∆P′g∥ L1t L∞x (ℝxℝ2) ≲ ∥ƒ∥L2x(ℝ2)∥g∥L2x(ℝ2) fails even when P, P′ have widely separated supports.Item A Coupled Cahn-Hilliard Particle System(Southwest Texas State University, Department of Mathematics, 2002-08-13) Shardlow, TonyA Cahn-Hilliard equation is coupled to a system of stochastic differential equations to model a random growth process. We show the model is well posed and analyze the model asymptotically (in the limit of the interfacial distance becoming small), to recover a free boundary problem. A numerical method together with example solutions is presented.Item A Critique of the Standardization of Geography Education in Germany(The Grosvenor Center for Geographic Education, 2013) Dickel, MirkaThe preparation and adoption of national standards among many countries has been a common practice during the past three decades. This paper presents a critical analysis of the Standards for German Geography Education published in 2006, as well as, a broader critique of standardization in education. The discussion is set within the context of the educational reform movement in Germany over the past decade. The analysis presents critiques from both philosophical, as well as, practical perspectives, and cites instances where standardization and its effects on education fail to address meaningful content in geography for students, teachers, and society. The article delves into the important questions that address the meaning of education. While attention is devoted to Germany education, the articles raise thoughtful questions and discussion that can be asked about the process of educational standardization in other countries.