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401. Abstract
... Optimal System and Group Invariant Solutions for a Nonlinear Wave Equation . ... The mathematical model is one-dimensional and it is in the form of a third order nonlinear partial differential equation describing the two-phase fluid flow of a medium compacting under gravity. ... We derive the one dimensional optimal system of the partial differential equation by using techniques developed by Olver [1986], Coggeshall and Meyer-ter-vehn [1992] and Chupakhin [1994]. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OptimalSystemandGroupInvariantSolutionsforaNonlinearWaveEquation.htm -- 6.6 Кб -- 10.07.2002
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402. Abstract
... Optimization of Long Low-Sized Silted Objects Search at Parametric Survey of Sea Bottom . ... The problem of hydroacoustic location of long low-sized silted objects using parametric means of bottom survey is investigated. ... The questions of low-sized silted objects search using local resonances and also problem of synchronization between resonant formations in bottom structures are discussed. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OptimizationofLongLowSizedSiltedObjectsSearchatParametricSurveyofSeaBottom.htm -- 6.6 Кб -- 10.07.2002
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403. Abstract
... Opto-Acoustic Response From Absorbed Particle in Liquid . ... This work is devoted to a theoretical analysis of the opto-acoustic effect in an inhomogeneous medium consisting of an absorbing spherical particle in an immersion (nonabsorbing) liquid irradiated with laser pulses. ... In the case of a thermally small particle, a heating of a particle takes place uniformly at its volume and the opto-acoustic pulse is excited only by thermal expansion of immersed layer of liquid. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OptoAcousticResponseFromAbsorbedParticleinLiquid.htm -- 7.0 Кб -- 10.07.2002
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404. Abstract
... On Some Class of Factorized Dynamical Systems and Their Integrability . ... There is studied the algebraic structure of a class of operatorial evolution equations factorizing standard Lax type integrable flows on the adjoint space to a Lie algebra of pseudo-differential operators. We found the corresponding Poisson structure on the corresponding subgroup Lie, constructed an infinite hierarchy of conservation laws. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnSomeClassofFactorizedDynamicalSystemsandTheirIntegrability.htm -- 6.2 Кб -- 10.07.2002
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405. Abstract
... On Symmetry Group Extension and Vorticity Conservation in Continuum Mechanics . ... Examples of many Lagrange's hydrodynamic systems show that often in medium motion the conservation of the curl of certain covector takes place. Moreover this covector can be unequal to the medium velocity. ... In general case the Lagrange function can be always reduced to such form by a special extension of sought function set, moreover without presence of unnecessary information. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnSymmetryGroupExtensionandVorticityConservationinContinuumMechanics.htm -- 6.9 Кб -- 10.07.2002
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406. Abstract
... This contribution investigates the finite amplitude standing wave generated in a closed pipe by a transient source when its instantaneous frequency varies and successively meets a set of resonance frequencies. ... Based on the well known nonlinear Burgers equation governing nonlinear propagation in viscous media, a new updated incident wave schema is developed and its efficiency to compute the nonlinear resonance modes of a closed tube is demonstrated. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OntheCouplingBetweenSuccessiveNonlinearAcousticResonance.htm -- 6.7 Кб -- 10.07.2002
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407. Abstract
... We consider a set of invariant travelling wave (TW) solutions for two modelling systems, ? simulating long non-linear waves propagation in structured media. Using the methods of ? local non-linear analysis and numerical simulation, we show that in both cases the set of ? TW solutions contains localized soliton-like regimes, corresponding to homoclinic loops ? of three-dimensional dynamical systems obtained from the initial systems of PDE through ? the group theory reduction. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OntheExistenceofLocalizedInvariantSolutionsinRelaxingHydrodynamicsModels.htm -- 6.9 Кб -- 10.07.2002
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408. Abstract
... On the Origin of Dynamic Elastic Nonlinear Behavior in Solids . ... It has recently become clear that a large category of materials exhibit an identical, nonlinear elastic signature [R.A.Guyer and P.A.Johnson, Physics Today Apr. ... These materials (rocks, sand, cement, concrete and ceramics) have been termed nonlinear mesoscopic elastic (NME) materials, in contrast to the well-known nonlinear atomic elastic (AEE) materials . ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OntheOriginofDynamicElasticNonlinearBehaviorinSolids.htm -- 7.1 Кб -- 10.07.2002
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409. Abstract
... On the Parallels Between the Control by a Periodic Action of Jet Turbulence and Noise-Induced Oscillations of a Pendulum . ... Our extensive investigations have shown that there are surprising profound parallels between turbulent processes in jets and noise-induced oscillations of a pendulum with a randomly vibrated suspension axis. Especially this touches on how the jets and such a pendulum respond to a periodic external action. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OntheParallelsBetweentheControlbyaPeriodicActionofJetTurbulenceandNoiseInducedOscillationsofaPendulum.htm -- 6.6 Кб -- 10.07.2002
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410. Abstract
... On Dug a Nonlinear Interaction of Low Frequensy Sound Waves From the Broadband Source Under Their Anomalous Spreading on Shalow Water . ... In work are considered some regularities of such excitement and spreading a low frequency sound. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnDugaNonlinearInteractionofLowFrequensySoundWavesFromtheBroadbandSourceUnderTheirAnomalousSpreadingonShalowWater.htm -- 7.0 Кб -- 10.07.2002
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411. Abstract
... On Generation of Infrasound by Large Objects Falling Into Water . L.A.Ostrovsky (Zel technologies/NOAA ETL and Institute of Applied Physics, Boulder, Colorado, USA); A.J.Bedard (NOAA ETL, Boulder, Colorado, USA) . ... Here we consider ? an important case: an object like a rock or ice shelf falls into water to generate an infrasound. ... It is shown that water surface displacements are able to radiate ? infrasound with measurable intensity both in air and water. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnGenerationofInfrasoundbyLargeObjectsFallingIntoWater.htm -- 6.8 Кб -- 10.07.2002
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412. Abstract
... On Nonlinear Acoustics Methods in Medical Diagnostics . ... This presentation is aiming at exploring new medical applications of nonlinear acoustics based approaches. ... Nonlinear Wave Modulation Spectroscopy (NWMS): a vibration induced ultrasound modulation technique is proposed for detection of bone abnormalities and assessment of bone aging-related changes in bone quality and fracture risk. ... A method for remote non-invasive assessment of the blood pressure was investigated. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnNonlinearAcousticsMethodsinMedicalDiagnostics.htm -- 7.5 Кб -- 10.07.2002
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413. Abstract
... On Nonlinear Scattering of Sound by Small Bubble in Polymeric Liquid . ... The presence of free gas in polymers even in small amounts may lead to drastic changes both in technological processes and properties of final products. ... The results of simulations have showed that hereditary properties of the liquid highly influence the scattered signal and must be accounted for at acoustic measurements of bubble population in polymeric liquids. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnNonlinearScatteringofSoundbySmallBubbleinPolymericLiquid.htm -- 6.8 Кб -- 10.07.2002
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414. Abstract
... On Some Applications of Differential Invariants of a Family of Nonlinear Wave Equations . ... It is worthwhile noting that the knowledge of invariants of families of equations is essential for the problem of group classification. ... M. Torrisi, R. Tracina', A. Valenti, On equivalence transformations applied to a non-linear wave equation, Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, Kluwer Academic Publishers, 1993, 367-375. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnSomeApplicationsofDifferentialInvariantsofaFamilyofNonlinearWaveEquations.htm -- 6.9 Кб -- 10.07.2002
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415. Abstract
... V.M.Fedorchuk (Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of NAS of Ukraine, Lviv, Ukraine); V.I.Fedorchuk (Franko Lviv National University, Lviv, Ukraine.) . ... The subgroup structure of the generalized Poincare group ? P(1,4) has been studied. ... The results obtained have been used in order to solve the next task: - the symmetry reduction and construction of exact solutions for some linear and nonlinear differential equations in the spaces M(1,4)xR(u) and M(1,3)xR(u)....
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnSomeApplicationsoftheNonconjugateSubgroupsoftheGeneralizedPoincareGroupP.htm -- 6.9 Кб -- 10.07.2002
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416. Abstract (Invited)
... Old-Age Stage Evolution of Intense Cylindrical and Spherical Acoustic Noise . S.N.Gurbatov, V.V.Cherepennikov (Department of Radiophysics, University of Nizhny Novgorod, Nizhny Novgorod, Russia ); B.O.Enflo (Department of Mechanics, Kungl. ... It is shown that at the old-age (linear) stage the energy spectrum of the noise has an universal structure: it is proportional to the second power of the frequency at ? small frequencies and decreases exponentially at high frequencies. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OldAgeStageEvolutionofIntenseCylindricalandSphericalAcousticNoise.htm -- 7.0 Кб -- 10.07.2002
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417. Abstract
... On Applications of Group Analysis of Differential Equations in Analytical Dynamics. ... I.S.Yemelyanova (Nizhny Novgorod State University, Nizhny Novgorod, Russia) . ... A course "Group analysis of differential equations and its applications'' [1,2] for Nizhny Novgorod State University students and postgraduates contains group theoretical methods in analytical mechanics. ... Nizhny Novgorod: Univ. ... Yemelyanova I.S. Group analysis of differential equations. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnApplicationsofGroupAnalysisofDifferentialEquationsinAnalyticalDynamicsAFragmentofUniversitySpecialCourse.htm -- 7.3 Кб -- 10.07.2002
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418. Abstract
... On Certain Equivalence Transformations . M.Torrisi (Department of Mathematics and Informatics, University of Catania, Catania, Italy) . ... We consider here a class of system of partial differential equations continuously depending from a parameter. The equivalence transformations for this class offer the possibilty to costruct a change of independent and dependent variables to write the system in a new form which, quite often,allows get easily new exact solution or approximate solutions. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnCertainEquivalenceTransformations.htm -- 6.2 Кб -- 10.07.2002
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419. Abstract
... On Double Waves of Homogeneous Systems of 4 Quasilinear Equations . ... The study of autonomous homogeneous overdetermined system with two dependent variables and three independent variables is considered in the presentation. The research is separated in two parts. In the first part we classify all systems, which have solutions with functional arbitrariness. ... Full analysis of double waves for two dimensional equations of rigid plastic body is given. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnDoubleWavesofHomogeneousSystemsofQuasilinearEquations.htm -- 6.2 Кб -- 10.07.2002
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420. Abstract
... On a Classification of Orbits for Cubic Differential Systems . M.Popa, E.Naidenova (Academy of Sciences, Institute of Mathematics and Computer Sciences, Kishinev, Moldova) . ... We consider a two-dimensional system of differential equations of the first order with polynomial right . ... Using the methods described in [1] the complete classification of orbits for linear representation of the group of rotations and Lorentz group in the space of coefficients of the cubic differential system is done. ...
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Ссылки http://acs366.phys.msu.su/isna16/Abstracts/OnaClassificationofOrbitsforCubicDifferentialSystems.htm -- 7.0 Кб -- 10.07.2002
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