In the present talk we consider hyperbolic type partial differential equations for which we can find a general solution. A general solution is constructed by using so called x- and n-integrals. We discuss classification problem for such equations and possible generalizations to semi-discrete and discrete equations of hyperbolic type.

Profesyonellere Yönelik Tezsiz Yüksek Lisans Programları Tanıtım Toplantıları 28 Mayıs - 5 Haziran 2024 tarihleri arasında zoom üzerinden gerçekleşecektir.

Veri Analitiği Yüksek Lisans Programı Tanıtım Toplantısı 28 Mayıs Salı 19:00

Profesyonel Tezsiz Yüksek Lisans Programları Genel Bilgilendirme Toplantısına davetlisiniz 27 Mayıs Pazartesi 19:30

Newtons three universal laws of motion do not account for dissipation, or degradation. However, the laws of thermodynamics govern dissipation and degradation evolution. The unified mechanics theory unifies Newtons universal laws of motion and the second law of thermodynamics at the ab-initio level. Therefore, the degradation, and dissipation are included directly in the governing partial differential equation. Moreover, in the Lagrangian equation the derivative of displacements (or velocity) with respect to entropy is no longer zero, as in classical Newtonian continuum mechanics.

Dr. Onur Pusuluk embarked on his academic journey with a double major in Molecular Biology and Genetics, and Physics, at Istanbul Technical University. He completed his Ph.D. studies in quantum biology at the Physics Department of the same university. As part of this study, he immersed himself in the Frontiers of Quantum Physics group at the University of Oxford as a recognized student for one year. Following his Ph.D., he continued his academic career as a postdoctoral research assistant at Koç Universitys Physics Department. Subsequently, he led a TUBITAK 3501 project and independent research group at Koç University for three years.

This talk explores multimedia signal processing and multimodal analysis, where information from different sources like audio, video, and motion is combined to create a richer understanding of human communication. Well briefly discuss two key applications as a motivation for multimedia signal processing: Throat Microphone Speech Enhancement and Prosody-Driven Head Gesture Synthesis. The first tackles the challenge of improving speech quality captured by skin-attached throat microphones. The second aims to generate realistic head movements that align with the emotional tone (prosody) of speech, making communication more natural. Moving beyond audio-visual processing, well explore how to assess engagement between humans and robots, a crucial aspect of human-robot interaction. Finally, well discuss Affective Video Summarization, which aims to create summaries of videos attending and capturing their emotional content. These applications demonstrate the potential of multimodal analysis and multimedia sign

Galaxy clusters are the largest (Mpc) and the most massive (1014 1015 Msolar) virialized objects in the universe embedded in the deep potential well of dark matter (DM) halos. Galaxy clusters host hundreds of galaxies surrounded in an extremely hot (107 108 K) and tenuous (10-5 10-1 cm-3) plasma, i.e., the intracluster medium (ICM). The giga-years-long evolution of these structures are intimately linked to the dynamics of their constituents (supermassive black hole activity, stellar feedback, galaxy evolution) as well as the dynamics arising from the mergers of galaxy clusters themselves (shocks, turbulence, non-thermal processes).Yet, how these mechanisms shape galaxy clusters is not well understood. The ICM, which primarily shines in the X-ray regime, is the reservoir that keeps a record of the past dynamical activity due to the DM potential. Therefore, X-ray studies of galaxy clusters hold immense potential to unravel the choreography of physics acting at a millionfold different physical scales. In this talk, I will present my research on probing galaxy clusters from the central active galactic nuclei (parsec) to the intercluster filaments (megaparsec) using X-ray data and I will share my academic journey leading up to my involvements in the state-of-the-art X-ray elescope mission XRISM and what the future holds for X-ray Astronomy.

Quantum information and open quantum systems theories provide the fundamental framework to enable the establishment and advancement of quantum technologies. On one hand, quantum information science deals with manipulation and transmission of information according to the principles of quantum theory, leading to significant advantages in various applications regarding communication, computation, metrology and cryptography. On the other hand, open quantum systems theory supplies the necessary means for practical realization of quantum technologies based on quantum information in realistic settings. Central to the theory of open quantum systems, describing the behavior of quantum systems that cannot be completely isolated from their environments in real-world conditions, is the notion of dynamical memory effects, defining quantum non-Markovianity.

This talk will provide an overview of my current and previous research activities and perspective on the development of next-generation nano-photonics, optoelectronics, and electronic systems as well as their large-area application in highly efficient bio/chemical sensing and displays. I will start by describing the development of TiO 2 deposited 1D Bragg grating to serve as a versatile platform for single-mode distributed feedback (DFB) lasing from arbitrary morphologies of the gain medium and a backbone to inkjet-print full bio-photonic chips for bio-sensing. Then, I will show how a truly natural, biodegradable green material like