6 results for Galiyev, Shamil, Unclassified

???Elastica???like waves and particles: from Bernoulli, Euler, Laplace and Faraday to the eruption of the Universe
Galiyev, Shamil; Galiyev, TS (2017)
Unclassified
The University of Auckland LibraryAn information about ???elastika???forms is presented. These forms have been mathematically described by Euler in the middle of the 18th century. Some of these forms correspond to the stronglynonlinear waves propagating in different media. Examples of wave equations describing elasticalike waves are presented. Special attention is given to the nonlinear KleinGordon equation. The exact and approximate solutions to this equation are constructed. These solutions describe some elasticalike travelling waves. They can also describe a formation of stronglylocalized wave objects in some resonators. It is stressed that these objects (particles, bubbles) can occur during the origin of the Universe and affect its subsequent evolution.
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Eruption of matter, dark energy and the Universe from a preuniverse
Galiyev, Shamil; Galiyev, TS (2017)
Unclassified
The University of Auckland LibraryThe origin of the Universe is being studied as an jump of an initial scalar field from a preuniverse. The scalar field is described by a cubic nonlinear multidimensional KleinGordon equation. The approximate solutions are presented. They describe scalar fields, scalar potentials and a weakly oscillating preUniverse. At any moment the preUniverse gives a birth to the billions of ???seeds??? of rapidly evolving Universes. One of them accidentally formed our Universe during some quantum action. The stronglynonlinear model of the eruption of the Universe from the preuniverse is developed in which all elements fit together in a tight and natural way. The origin of the particles, matter and dark energy is directly related to the stronglynonlinear properties of the quantum scalar fields and the resonant interaction and oscillations of them. The initial energy of the field is converted into particles during the eruption. They could work like a scaffold creating the fourdimensional spacetime. Some highly energetic particles could be very stable. Perhaps, these particles had been stable for billions of years before they begun to decay. This process can determine the law of expansion the modern Universe. On the other hand, these particles may correspond to the dark matter. However, the bulk of the initial energy remained unused. Perhaps, this energy was locked into the formed fourdimensional spacetime. This energy may correspond to the dark energy. The Universe is considered as a wave system. A scenario is developed, when the Universe begins in a state that differs greatly from that of the theories of the Big Bang and the inflation. The Universe was born having a finite volume. We believe that the coherent model for the emergence and initial evolution of the Universe is presented.
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Scalar field as a model describing the birth of the Universe
Galiyev, Shamil; Galiyev, T Sh (2013)
Unclassified
The University of Auckland LibraryWe investigate a scalar field described by a cubic nonlinear KleinGordon equation. Using approximate solutions we study the models for the scalar fields and the scalar potentials. The evolution of the field is determined by the quantum perturbations, bifurcations and resonances. We believe that the solutions give coherent model for the emergence and initial evolution of the Universe. A scenario is developed, when the Universe begins in a state that differs greatly from that of the theories of the Big Bang and the inflation.
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Eruption of the Universe out of a preuniverse
Galiyev, Shamil; Galiyev, TS (2016)
Unclassified
The University of Auckland LibraryCosmologists described the history of the entire universe ???from the present day all the way back to a fraction of a fraction of a second after the Universe beginning. But many cosmological theories cannot describe the very starting point. Recently, it was suggested to use a model of the single scalar field so that to describe this point and the origin of the Universe from socalled ???preuniverse???. It is important that recent results from the Planck satellite combined with earlier observations from WMAP, ACT, SPT and other experiments are favour for cosmological models with a single scalar field. Generally speaking, the results are not favour for the current standard model of cosmology combines the origin big bang model and the inflationary scenario. In particular, the standard model does not explain the initial conditions of the Universe. According to the inflation we need just a tiny volume of energy as starting point of the birth of the Universe. However, what produced this energy before the inflation? Here the origin of the Universe is described by a single scalar field (the nonlinear Klein ???Gordon equation). Continuous and discontinuous solutions of the equation are presented. These solutions determine landscapes of scalar fields, their potentials and the properties of the preuniverse. An element of the preuniverse which has a form of a multidimensional bubble oscillates in a potential well. A quantum fluctuation tunnels the bubble from this well and the bubble energy increases greatly. New composite scalar field is formed during the tunnelling. The end the tunnelling corresponds to the birth of the Universe. The Universe was born as a result of nonlinear amplification of a quantum fluctuation of the scalar field of the preuniverse. The amplification was of the order times. As a result the bubble energy separated from the preuniverse. A scenario is developed, when the Universe begins from a preuniverse and evolves into a state that differs from initial situations of the theories of the Big Bang and the inflation.
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Coherent model of the births of the Universe, the dark matter and the dark energy
Galiyev, Shamil; Galiyev, TS (2014)
Unclassified
The University of Auckland LibraryThe birth of the Universe is being studied as an evolution of an initial scalar field into other fields (particles), energies, waves and vortices. The scalar field is described by a cubic nonlinear multidimensional KleinGordon equation. The approximate solutions are presented. They describe scalar fields, scalar potentials and a weakly oscillating praUniverse. At any moment this model gives a birth to the billions of ???seeds??? of rapidly evolving Universes. One of them accidentally formed our Universe during the quantum tunnelling. The stronglynonlinear model of the birth is developed in which all elements fit together in a tight and natural way. The birth of the particles, mass and temperature is directly related to the tunnelling, strongly nonlinear properties of the quantum scalar fields and the resonant oscillations. Some energy of the fields is converted into particles. They could work like a scaffold creating the fourdimensional spacetime. Some highly energetic particles could be very stable. Perhaps, these particles had been stable for billions of years before they begun to decay. This process can determine the law of expansion the modern Universe. On the other hand, these particles may correspond to the dark matter. However, the bulk of the initial energy remained unused. Perhaps, this energy was locked into the formed fourdimensional spacetime. This energy may correspond to the dark energy. The Universe is considered as a wave system. A scenario is developed, when the Universe begins in a state that differs greatly from that of the theories of the Big Bang and the inflation. The Universe was born having a finite volume. We believe that the coherent model for the emergence and initial evolution of the Universe is presented.
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Beginning Charles Darwin's Researches and Catastrophic Wave Phenomena
Galiyev, Shamil; Mace, B (2012)
Unclassified
The University of Auckland LibraryDuring many years the analysis of some geophysical results of Charles Darwin was being carried out in Department. Darwin has connected almost 200 years ago results of catastrophic earthquakes with vertical movement of a surface of the Earth. Usually this movement less horizontal movement and its influence on destruction of cities is not considered. Earthquake hazard assessment studies were focused usually on the horizontal ground motion. Effects of the strong vertical motion were not, practically, discussed. The margins of safety against gravityinduced static vertical forces in constructed buildings usually provide adequate resistance to dynamic forces induced by the vertical acceleration during an earthquake. However, the earthquake in Christchurch is an example of the vertical seismic shock . The earthquake magnitude was rather small  nearby 6.3. However, the result was catastrophic. The same took place in 1835. It allowed to Darwin to formulate a few great ideas. Charles Darwin has explained qualitatively results of an interaction of huge seismic waves with volcanoes and the nature of volcanism and seismicity of our planet. These important data of Charles Darwin became very actual recently. It is possible to tell also the same about tsunami and extreme ocean waves described by Charles Darwin. Therefore this data were analyzed using modern mechanics, mathematics and physics in Department. In particular, the theory of catastrophic waves was developed based on Darwin's data. The theory tried to explain occurrence, evolution and distribution the catastrophic waves in various natural systems, since atoms, oceans, surfaces of the Earth and up to the very early Universe. Some results of the research were published in prestigious magazines. Later they were presented in two books devoted to Charles Darwin's anniversary (2009). Last from them was published in Russian (2011). We give here key ideas of this research which is a part of interdisciplinary researches of Department. Some ideas are discussed. Not less important purpose is very short historical review of some researches of Darwin. In particular, we underline Darwin' priority in the formulation of the bases of Dynamics Earth.
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