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Search Results: 1 - 10 of 167619 matches for " E. Sagun "
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Weak uniqueness and partial regularity for the composite membrane problem
Sagun Chanillo,Carlos E. Kenig
Mathematics , 2007,
Abstract: We establish a generic weak uniqueness result and partial regularity of the free boundary and of minimizers for the composite membrane problem.
Regularity of the minimizers in the composite membrane problem in R^2
Sagun Chanillo,Carlos E. Kenig,Tung TO
Mathematics , 2008,
Abstract: We study the regularity of minimizers to the composite membrane problem in the plane (ie given a domain omega and a positive number A, smaller than the measure of omega, minimize the first Dirichlet eigenvalue for the Schrodinger operator with potential equal to a fixed multiple of the characteristic function of a subset D of omega, with measure A). We show that for minimizers, the boundary of D is analytic.
Antibacterial activities of Allium vineale, Chaerophyllum macropodum and Prangos ferulacea
H Durmaz, E Sagun, Z Tarakci, F Ozgokce
African Journal of Biotechnology , 2006,
Abstract: Allium vineale L., Chaerophyllum macropodum Boiss. and Prangos ferulacea (L.) Lindl. have been used for cheese production in Turkiye for many centuries. In addition, it is traditionally believed by local people that these plants have antibacterial activity. The purpose of this study was to evaluate the antibacterial activity of these plants. Four solvent extracts (in methanol, ethanol, n-hexane and water) of the plants were investigated against Bacillus cereus, Bacillus subtilis, Micrococcus luteus, Staphylococcus aureus, Escherichia coli, Klebsiella pneumoniae, Proteus mirabilis, Salmonella enteritidis and Salmonella typhimurium by using disc diffusion method. The methanol, ethanol and nhexane extracts of all the plants showed antibacterial activity against B. cereus, B. subtilis, M. luteus and S. aureus, while the methanol extract of Allium vineale was also active against P. mirabilis. However, the water extracts of these plants had no antibacterial activity against any of the bacteria tested. The methanol extracts had the higher activity followed by the extracts of ethanol and n-hexane. A. vineale showed the higher antibacterial activity as compared with C. macropodum and P. ferulacea. As a result, organic solvent extracts (especially methanol and ethanol extracts) of these plants can be used as natural antibacterial additives for incorporation in cheese and various food products.
Effect of Ripening Time on Mineral Contents of Herby Cheese
H. Durmaz,Z. Tarakci,E. Sagun,H. Sancak
Journal of Animal and Veterinary Advances , 2012,
Abstract: Herby cheese is a salted traditional cheese manufactured in the Eastern and South-eastern of Turkey. Its name, herby, comes from adding herb in cheese. The aim of this study was to assess the changes in the mineral contents and some chemical parameters in herby cheese during 90 days of ripening. The total solids, ash, salt, Na, Cu, Fe, Mn contents and pH values increased significantly (p<0.05), while Ca, Mg and Zn contents decreased significantly (p<0.05) during ripening. P, Co, Cr, Ni and Cd contents of the cheeses were not significantly (p>0.05) altered during ripening. The results indicated that the mineral of herby cheese showed a very variable behaviour during ripening due to likely manufacturing technology.
POTENTIAL USE OF VIRTUAL ENVIRONMENTS IN DESIGN EDUCATION
Aysu SAGUN
The Turkish Online Journal of Design, Art and Communication , 2011, DOI: 10.7456/10102100/004
Abstract: This paper explores the potential use of Virtual Environments (VE) in design education. Recently, the way the designers form their mental concepts, develop and test their design is enhanced with the new computer technologies. Computer generated VE has a great potential to be used in the design process and collaborative studies because they enable manipulation of simulated products as well as interaction of people with each other and the simulated space for communication and collaboration. Therefore, 3D virtual worlds constructed on computer enable a better understanding of the design ideas and solutions. VE can also enhance the education of next generation designers enabling students and instructors to check designs solutions and failures rapidly. It can also provide students a medium for discussions with their instructors, other students or design experts. In this paper, properties of VEs and two popular VE modelling languages, Virtual Reality Modelling Language (VRML) and Extensible 3D (X3D), are explained. The nature of design education is introduced and the reasons why VE is a convenient tool for design education is discussed, pointing out the short comes that need developments in future.
Uniqueness of Solutions to Schrodinger Equations on Complex Semi-simple Lie Groups
Sagun Chanillo
Mathematics , 2006,
Abstract: We consider the time dependent Schrodinger equation on a complex semi-simple Lie group. We consider initial data a bi-invariant function. We prove that if the initial data decays fast enough, and the solution decays fast enough at one time slice, then the solution hs to vanish identically for all time. The hypothesis for decay we impose is shown to be optimal, uniqueness fails otherwise. We also consider the Heisenberg roup. There we show that the presence of closed loops that arise as the projection of geodesics to the contact plane at the origin precludes writing down a solution operator.
Conformal Geometry and The Composite Membrane Problem
Sagun Chanillo
Mathematics , 2012,
Abstract: We consider smooth bounded surfaces with a smooth boundary and a prescribed background metric g_0. We now consider all metrics g conformal to g_0 which have a prescribed volume M. We now minimize the first eigenvalue of the Laplace operator of g over the metrics conformal to g_0 and having the prescribed volume. We show that this problem is equivalent to the study of the Composite Membrane Problem, a free boundary problem studied earlier by the author and his collaborators in all dimensions. Thus complete answers, existence of the limit metric, regularity of the minimizing eigenfunction and various qualitative properties of the metric are easily obtained from the solution of the Composite Membrane problem. The problem of minimizing eigenvalues over conformal classes has a higher dimensional analog for the critical GJMS operator and leads to new classes and questions for higher order unstable free boundary problems. In particular in dimension 4 we are lead to free boundary problems involving the Paneitz operator and in odd dimensions to fractional free boundary problems of unstable type.
Kirillov theory, Treves strata, Schrodinger equations and analytic hypoellipticity of sums of squares
Sagun Chanillo
Mathematics , 2001,
Abstract: We attach representations to non-symplectic stratum in the characteristic set of real vector fields. This leads to Schrodinger operators. The analysis of the solutions of these Schrodinger equations allows us to construct smooth, non-analytic solutions of the sub-elliptic operator formed by taking sums of squares of the real vector fields.
Curl-Free Ginzburg-Landau Vortices
Sagun Chanillo,Michael Kiessling
Physics , 1998,
Abstract: For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.
$Λ$ - anomaly in the hadron chemical freeze-out
V. V. Sagun
Physics , 2014,
Abstract: A new way to overcome the $\Lambda$ hyperon selective suppression, which is known as the $\Lambda$-anomaly, has been suggested. In particular, the additional radius of a $\Lambda$ hyperon is introduced into the model of hadron resonance gas with the multicomponent hard-core repulsion. The proposed approach allows one to describe the hadron multiplicity ratios measured at the AGS, SPS and RHIC energies with the accuracy $\chi^{2}/dof=$52/55$\simeq $0.95.
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