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Books on the topic 'Nonlinear field equations'

Author: Grafiati

Published: 18 May 2024

Last updated: 31 July 2025

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1

Benci, Vieri, and Donato Fortunato. Variational Methods in Nonlinear Field Equations. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06914-2.

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2

V, Murthy M. K., Spagnolo S, and Workshop on Nonlinear Hyperbolic Equations and Field Theory (1990 : Lake Como, Italy), eds. Nonlinear hyperbolic equations and field theory. Longman Scientific & Technical, 1992.

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3

LeFloch, Philippe G. The hyperboloidal foliation method. World Scientific, 2015.

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4

Tarantello, Gabriella. Selfdual gauge field vortices: An analytical approach. Birkhäuser, 2007.

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5

Tarantello, Gabriella. Selfdual gauge field vortices: An analytical approach. Birkhäuser, 2007.

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6

Prikarpatskiĭ, A. K. Algebraicheskie aspekty integriruemosti nelineĭnykh dinamicheskikh sistem na mnogoobrazii͡a︡kh. Nauk. dumka, 1991.

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7

Philippe, Blanchard, Dias J. P. 1944-, and Stubbe J. 1959-, eds. New methods and results in non-linear field equations: Proceedings of a conference held at the University of Bielefeld, Fed. Rep. of Germany, 7-10 July 1987. Springer-Verlag, 1989.

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8

Korsunskiĭ, S. V. Nonlinear waves in dispersive and dissipative systems with coupled fields. Longman, 1997.

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9

Gatica, Gabriel N. Boundary-field equation methods for a class of nonlinear problems. Longman, 1995.

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10

Gatica, Gabriel N. Boundary-field equation methods for a class of nonlinear problems. Longman, 1995.

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11

Gatica, Gabriel N. Boundary-field equation methods for a class of nonlinear problems. Longman, 1995.

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12

Babeshko, Lyudmila, Mihail Bich, and Irina Orlova. Econometrics and econometric modeling. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1141216.

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The textbook covers a wide range of issues related to econometric modeling. Regression models are the core of econometric modeling, so the issues of their evaluation, testing of assumptions, adjustment and verification are given a significant place. Various aspects of multiple regression models are included: multicollinearity, dummy variables, and lag structure of variables. Methods of linearization and estimation of nonlinear models are considered. An apparatus for evaluating systems of simultaneous and apparently unrelated equations is presented. Attention is paid to time series models. Deta

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13

Philip, Holmes, ed. Nonlinear oscillations, dynamical Systems and bifurcations of vector fields. Springer, 1997.

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14

Guckenheimer, John. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. 3rd ed. Springer-Verlag, 1990.

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15

Guckenheimer, John. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. 2nd ed. Springer-Verlag, 1986.

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16

Guckenheimer, John. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. 5th ed. Springer, 1997.

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17

Philip, Holmes, ed. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. 2nd ed. Springer-Verlag, 1986.

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18

Novikov, Anatoliy, Tat'yana Solodkaya, Aleksandr Lazerson, and Viktor Polyak. Econometric modeling in the GRETL package. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1732940.

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The tutorial describes the capabilities of the GRETL statistical package for computer data analysis and econometric modeling based on spatial data and time series. Using concrete economic examples, GRETL considers classical and generalized models of linear and nonlinear regression, methods for detecting and eliminating multicollinearity, models with variable structure, autoregressive processes, methods for testing and eliminating autocorrelation, as well as discrete choice models and systems of simultaneous equations. For the convenience of users, the tutorial contains all the task data

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19

M, Greco Antonio, Ruggeri Tommaso, Boillat G, and Circolo matematico di Palermo, eds. Non linear hyperbolic fields and waves: A tribute to Guy Boillat. Sede della Società, 2006.

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20

Steven, Rosenberg, and Clara L. Aldana. Analysis, geometry, and quantum field theory: International conference in honor of Steve Rosenberg's 60th birthday, September 26-30, 2011, Potsdam University, Potsdam, Germany. American Mathematical Society, 2012.

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21

Murthy, M. K. V., and S. Spagnolo. Nonlinear Hyperbolic Equations and Field Theory. Taylor & Francis Group, 1992.

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22

Benci, Vieri, and Donato Fortunato. Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices. Springer, 2014.

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23

Benci, Vieri, and Donato Fortunato. Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices. Springer, 2016.

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24

Tarantello, Gabriella. Self-Dual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Boston, 2008.

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25

Selfdual gauge field vortices: An analytical approach. Birkhäuser, 2007.

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26

Selfdual Gauge Field Vortices: An Analytical Approach. Birkhäuser Boston, 2009.

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27

Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices. Springer International Publishing AG, 2014.

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28

Mean Field Theories And Dual Variation. Atlantis Press, 2009.

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29

Carretero-González, Ricardo, Dimitrios J. Frantzeskakis, and Panayotis G. Kevrekidis. Nonlinear Waves & Hamiltonian Systems. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780192843234.001.0001.

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Abstract Wave phenomena are ubiquitous in the world around us, from art (e.g. the “Great Wave off Kanagawa” of K. Hokusai) to science (e.g. arterial pressure in our veins) and from the world around us (the Draupner wave off the coast of Norway, to the Morning Glory cloud in the Gulf of Carpentaria in Australia) to planetary (Giant Red Spot of Jupiter) or quantum (ultracold atoms) and even cosmological scales. Therefore, the study of waves has an intrinsic and broad scientific interest in many diverse contexts, ranging from mathematics and physics to engineering, biosciences, chemistry and fina

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30

Deruelle, Nathalie, and Jean-Philippe Uzan. The Einstein equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0044.

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This chapter deals with Einstein equations. In the absence of matter there is no gravitational field, and the spacetime which represents this empty universe is Minkowski spacetime. More precisely, if the gravitational field created by the matter can be neglected, the appropriate framework for describing the matter is that of special relativity. Einstein gravitational equations relate geometry and matter: specifically, they relate the Riemann tensor, or more precisely the Einstein tensor, to the geometrical object describing ‘inertia’, the energy content of the matter—that is, the energy–moment

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31

Stubbe, Joachim, Joao-Paulo Dias, and Philippe Blanchard. New Methods and Results in Non-linear Field Equations: Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, ... in Physics). Springer, 2014.

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32

Dias, J. P., and Philippe Blanchard. New Methods and Results in Non-Linear Field Equations: Proc of a Conference Held at the University of Bielefeld, Fed. Rep. of Germany, 7-10 July 198 (Lecture Notes in Physics). Springer, 1990.

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33

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the

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34

Christopher, Colin, Chengzhi Li, and Joan Torregrosa. Limit Cycles of Differential Equations. Springer International Publishing AG, 2022.

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35

Holmes, Philip, and John Guckenheimer. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer London, Limited, 2013.

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36

Holmes, Philip, and John Guckenheimer. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer New York, 2013.

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37

Zgurovsky, Mikhail Z., and Valery S. Melnik. Nonlinear Analysis and Control of Physical Processes and Fields. Springer Berlin / Heidelberg, 2012.

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38

Vislocky, Michael. Nonlinear stability analysis of an interfacial model equation for alloy solidification in the presence of an electric field. 1988.

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39

Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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40

Guckenheimer, J., and P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Applied Mathematical Sciences). Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1990.

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41

Zgurovsky, Mikhail Z., and Valery S. Melnik. Nonlinear Analysis and Control of Physical Processes and Fields (Data and Knowledge in a Changing World). Springer, 2004.

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42

Limit Cycles of Differential Equations (Advanced Courses in Mathematics - CRM Barcelona). Birkhäuser Basel, 2007.

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43

The endoscopic classification of representations orthogonal and symplectic groups. American Mathematical Society, 2013.

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44

Glazov, M. M. Dynamical Nuclear Polarization. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0005.

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The transfer of nonequilibrium spin polarization between the electron and nuclear subsystems is studied in detail. Usually, a thermal orientation of nuclei in magnetic field is negligible due to their small magnetic moments, but if electron spins are optically oriented, efficient nuclear spin polarization can occur. The microscopic approach to the dynamical nuclear polarization effect based on the kinetic equation method, along with a phenomenological but very powerful description of dynamical nuclear polarization in terms of the nuclear spin temperature concept is given. In this way, one can

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