MATEMATIČKI INSTITUT SANU
ODELJENJE ZA MEHANIKU
PROGRAM ZA OKTOBAR 2019.
Pozivamo Vas da učestvujete u radu sednica Odeljenja i to:
SREDA, 02.10.2019 u 18:00, Sala 301f, MI SANU, Kneza Mihaila 36
Aleksandra Ćiprijanović, Matematički institut SANU
PRIMENA MAŠINSKOG UČENjA U ASTRONOMIJI
Na predavanju će se kratko osvrnuti na dosadašnji naučni rad A.
Ćiprijanović uz poseban fokus na trenutni rad u oblasti mašinskog učenja.
Mašinsko učenje omogućava sistemima da samostalno uče i napreduju kroz
iskustvo (bez eksplicitnog programiranja), koristeći veliku količinu
podataka i primera na osnovu kojih donose zaključke. Popularnost mašinskog
učenja strahovito raste i našla je veoma veliki broj primena u astronomiji,
kao jednoj od nauka sa najvećim brojem podataka koje je potrebno obraditi.
A. Ćiprijanović koristi duboko učenje (kao podskup mašinskog učenja koji
koristi višeslojne neuronske mreže) za klasifikaciju slika interagujućih
galaksija. Ovom tehnikom moguće je istrenirati neuronsku mrežu da
razlikuje slike galaksija koje se sudaraju od galaksija koje nisu u
interakciji. Važnost ovakvih metoda i buduće primene su velike, od boljeg
razumevanja procesa interakcije i sudaranja galaksija, do automatizacije
procesa pronalaženja objekata u velikim pregledima neba.
Zajednički sastanak sa Seminarom za računarstvom i primenjenu matematiku.
SREDA, 16.10.2019 u 18:00, Sala 301f, MI SANU, Kneza Mihaila 36
Yaron Toledo, Marine Engineering and Physics laboratory (MEPLab), School of mechanical engineering, Tel-Aviv University, Israel
MARINE ENGINEERING AND EAST MED. CURRENTS AND WAVES — AN ATTEMPT TO
ACQUIRE A WHOLESOME UNDERSTANDING FROM THEORETICAL, NUMERICAL
MODELLING AND FIELD MEASUREMENT PERSPECTIVES
Any engineering and scientific problem can be approached from
various directions. One create its mathematical representation and inspect
it directly using accurate numerical methods with high performance
computers. Another can approximate these equations in order to enable an
easier inspection of its physical properties or allow for real-time
operational use. Other approaches include detailed laboratory measurements
in order to isolate (as much as possible) effects of different parameters
in a controlled environment. If the problem relates to field conditions,
it can be measured in the field with the benefit of observing its natural
occurrence but with the difficulty of an uncontrolled environment and the
noisiness of field conditions.
All the above approaches have their advantages and disadvantages, but it
is clear that a combination of these approach can provide a more complete
investigation. MEPLab aims to advance the field of marine engineering and
our knowledge on ocean waves and currents in the East Mediterranean region
using such a multifaceted approach. The talk will present some of the
directions taken to reach this goal by combining theory, modelling and
field measurements. The second part of the talk will present works on the
topics of nonlinear shoaling of wind waves, infra-gravity waves related to
harbour agitations and waves of even lower frequencies, which relate to
shelf- and bay-scale oscillations.
Nonlinear wave interactions have a significant effect on the wave spectra
in the near-shore region with great importance to coastal engineering
design. And yet, their calculation still poses significant modelling
challenges. Deterministic nonlinear models that account for these
interactions are numerically expensive, and hence mostly used for limited
computation areas that results in losing a significant part of the
spectral evolution effects. Stochastic phase-averaged wave models are
commonly used for this purpose as they are efficient enough for resolving
large enough computation areas, but they have limited capabilities in
accounting for nonlinear shoaling effects. A new nonlinear stochastic
formulation extending these models to the nearshore environment will be
Infra-gravity waves are waves that lie outside of the wind-wave spectral
regime. They are related to longer wave periods of few tens to few
hundreds of seconds. Even though their wave heights are an order of
magnitude lower than the ones in the wind wave spectral peak, their
comparably large wavelengths (O(1-10km) depending on the bottom depth) can
largely influence marine conditions due to basin resonances, harbor
agitations and their influence on beach morphology. Their primary
generation mechanisms are related to shoaling and breaking of the
nearshore wave field. Thus, the focus of most previous related works has
been limited to coastal areas.
Based on the analysis of pressure cell measurements, we show evidence of
IG wave generation by deep sea storms and present a new mechanism
connecting seemingly unrelated phenomena of the comparably slow wind gusts
and very fast IG waves. A simulation of IG wave generation, combining
reflection of nearshore generated IG waves and deep water generation,
shows good agreement with deep water measurements in the Pacific.
Sea level elevation observations ADCPs, tide gauges and wave staves
indicate the existence of persistent low-frequency oscillations on the
Israeli continental shelf. The dominant frequencies are shown to be
consistent with extremely high nonlinear nearshore tide harmonics and
shelf resonance models. A shallow water numerical model of Haifa Cape to
Achziv shelf edge shows that this constellation enables energy trapping
and occurrence of resonating standing waves. It has been found that the
resonance periods fit also the ones of tsunami and metro-tsunami events
with capability to deep-to-shallow signal increase of up to two orders of
magnitude(!) indicating Haifa Bay and Naharia areas to be extremely
vulnerable to such events.
PETAK, 25.10.2019 u 14:00, Sala 301f, MI SANU, Kneza Mihaila 36
Xiao-Jun Yang, State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology, Xuzhou; College of Mathematics, China University of Mining and Technology, Xuzhou, P. R. China
NEW NON-CONVENTIONAL METHODS FOR QUANTITATIVE CONCEPTS OF ANOMALOUS RHEOLOGY
In this report, we address the general calculus operators with respect to another functions containg the power-law and exponential functions. The Boltzmann-type superposition principles for the anomalous linear viscoelasticity are considered for the first time. The new technologies are as non-conventional tools proposed to extend the quantitative concepts of anomalous rheology for solid mechanics.
Predavanja su namenjena širokom krugu slušalaca, uključujući studente redovnih i doktorskih studija. Održavaju se sredom sa početkom u 18 sati u sali 301f na trećem spratu zgrade Matematičkog instituta SANU, Knez Mihailova 36.
dr Tatjana Jakšić Krüger
Sekretar Odeljenja za mehaniku
Matematickog instituta SANU
dr Božidar Jovanović
Upravnik odeljenja za mehaniku
Matematickog instituta SANU