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Livros sobre o tema "First-order hyperbolic partial differential equations"

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Autor: Grafiati

Publicado: 7 de julho de 2024

Última modificação: 7 de julho de 2024

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1

Benzoni-Gavage, Sylvie. Multidimensional hyperbolic partial differential equations: First-order systems and applications. Oxford: Clarendon Press, 2007.

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2

Galaktionov, Victor A. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Boca Raton: CRC Press, Taylor & Francis Group, 2015.

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3

Eskin, G. I. Lectures on linear partial differential equations. Providence, R.I: American Mathematical Society, 2011.

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4

Cherrier, Pascal. Linear and quasi-linear evolution equations in Hilbert spaces. Providence, R.I: American Mathematical Society, 2012.

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5

Kenig, Carlos E. Lectures on the energy critical nonlinear wave equation. Providence, Rhode Island: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, with support from the National Science Foundation, 2015.

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6

Sequeira, A., H. Beirão da Veiga e V. A. Solonnikov. Recent advances in partial differential equations and applications: International conference in honor of Hugo Beirao de Veiga's 70th birthday, February 17-214, 2014, Levico Terme (Trento), Italy. Editado por Rădulescu, Vicenţiu D., 1958- editor. Providence, Rhode Island: American Mathematical Society, 2016.

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7

Nahmod, Andrea R. Recent advances in harmonic analysis and partial differential equations: AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland. Editado por American Mathematical Society e JAMI Conference (2011 : Baltimore, Md.). Providence, Rhode Island: American Mathematical Society, 2012.

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8

Clay Mathematics Institute. Summer School. Evolution equations: Clay Mathematics Institute Summer School, evolution equations, Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008. Editado por Ellwood, D. (David), 1966- editor of compilation, Rodnianski, Igor, 1972- editor of compilation, Staffilani, Gigliola, 1966- editor of compilation e Wunsch, Jared, editor of compilation. Providence, Rhode Island: American Mathematical Society, 2013.

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9

Hersh, Reuben. Peter Lax, mathematician: An illustrated memoir. Providence, Rhode Island: American Mathematical Society, 2015.

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10

Conference on Multi-scale and High-contrast PDE: from Modelling, to Mathematical Analysis, to Inversion (2011 Oxford, England). Multi-scale and high-contrast PDE: From modelling, to mathematical analysis, to inversion : Conference on Multi-scale and High-contrast PDE:from Modelling, to Mathematical Analysis, to Inversion, June 28-July 1, 2011, University of Oxford, United Kingdom. Editado por Ammari Habib, Capdeboscq Yves 1971- e Kang Hyeonbae. Providence, R.I: American Mathematical Society, 2010.

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11

Rhee, Hyun-Ku. First-order partial differential equations. Mineola, N.Y: Dover Publications, 2001.

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12

Rhee, Hyun-Ku. First-order partial differential equations. Englewood Cliffs, N.J: Prentice-Hall, 1986.

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13

Poli͡anin, A. D. Handbook of first order partial differential equations. London: Taylor & Francis, 2002.

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14

Subbotin, A. I. Generalized solutions of first-order PDEs: The dynamical optimization perspective. Boston: Birkhäuser, 1995.

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15

Melikyan, A. A. Generalized characteristics of first order PDEs: Applications in optimal control and differential games. Boston: Birhäuser, 1998.

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16

Meziani, Abdelhamid. On first and second order planar elliptic equations with degeneracies. Providence, R.I: American Mathematical Society, 2011.

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17

Meliki͡an, Arik Artavazdovich. Generalized characteristics of first order PDEs: Applications in optimal control and differential games. Boston: Birkhäuser, 1998.

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18

López, Gustavo. Partial differential equations of first order and their applications to physics. Singapore: World Scientific, 1999.

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19

Tsuji, Mikio. Propagation of singularities for partial differential equations of first order. Recife, Brasil: Universidade Federal de Pernambuco, Centro de Ciências Exatas e da Natureza, Departamento de Matemática, 1989.

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20

Gesztesy, Fritz, Barry Simon, H. Holden e Gerald Teschl. Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, Rhode Island: American Mathematical Society, 2013.

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21

Van, Tran Duc. The characteristic method and its generalizations for first-order nonlinear partial differential equations. Boca Raton, FL: Chapman & Hall/CRC, 2000.

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22

Goodrich, John W. An approach to the development of numerical algorithms for first order linear hyperbolic systems in multiple space dimensions: The constant coefficient case. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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23

United States. National Aeronautics and Space Administration., ed. An approach to the development of numerical algorithms for first order linear hyperbolic systems in multiple space dimensions: The constant coefficient case. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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24

Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics (2010 Marrakech, Morocco). Geometric analysis of several complex variables and related topics: Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics, May 10-14, 2010, Marrakesh, Morocco. Editado por Barkatou Y. 1967-. Providence, R.I: American Mathematical Society, 2011.

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25

Southeast Geometry Seminar (15th 2009 University of Alabama at Birmingham). Geometric analysis, mathematical relativity, and nonlinear partial differential equations: Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011. Editado por Ghomi Mohammad 1969-. Providence, Rhode Island: American Mathematical Society, 2013.

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26

Russia) International Workshop on Tropical and Idempotent Mathematics (2012 Moscow. Tropical and idempotent mathematics and applications: International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia. Editado por Litvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor of compilation e Sergeev, S. N., 1981- editor of compilation. Providence, Rhode Island: American Mathematical Society, 2014.

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27

Benzoni-Gavage, Sylvie, e Denis Serre. Multi-Dimensional Hyperbolic Partial Differential Equations: First-Order Systems and Applications. Ebsco Publishing, 2006.

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28

Serre, Dennis, e Sylvie Benzoni-Gavage. Multi-Dimensional Hyperbolic Partial Differential Equations: First-Order Systems and Applications. Oxford Mathematical Monographs. Oxford University Press, 2006.

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29

Benzoni-Gavage, Sylvie, e Denis Serre. Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications (Oxford Mathematical Monographs). Oxford University Press, USA, 2006.

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30

Speck, Jared. Shock Formation in Small-data Solutions to 3d Quasilinear Wave Equations. American Mathematical Society, 2016.

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31

Liu, Tai-Ping. Shock Waves. American Mathematical Society, 2021.

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32

Liu, Tai-Ping. Shock Waves. American Mathematical Society, 2021.

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33

Lelevkin, V. М. LINEAR AND NON-LINEAR EQUATIONS OF PHYSICS. Lectures and practical classes. A short course. Publishing house of KRSU, 2023. http://dx.doi.org/10.36979/978-9967-19-916-3-2022.

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Resumo:

The book presents a short course of lectures and classes on the discipline “Linear and non-linear equations of Physics” for students of natural and technical faculties. It includes examples of various physical phenomena investigation based on differential equations solution. The course includes a classification of second-order partial differential equations from two independent variables and a methodology of their canonicalization. Much attention is paid to boundary value problems for hyperbolic, parabolic and elliptic types, to methodology of the given equations solution and a physical interpretation of the findings. The book gives brief information about special functions and their application to solving physical problems. It also describes the universal method of differential equations solving – method of finite difference. In the annex, one can see a possibility of investigating electron motion in the atomic nucleus electric field by means of differential equations. A short course: “Linear and non-linear equations of Physics” can be of use as a training material for post-graduate students, researchers and engineers dealing with mathematical modelling and physical phenomena investigation by means of differential equations.

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34

Rhee, Hyun-Ku. First-order partial differential equations. Prentice-Hall, 1989.

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35

Moussiaux, Alain, Andrei D. Polyanin e Valentin F. Zaitsev. Handbook of First-Order Partial Differential Equations. Taylor & Francis Group, 2001.

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36

Amundson, Neal R., Rutherford Aris e Hyun-Ku Rhee. First-Order Partial Differential Equations, Vol. 1. Dover Publications, Incorporated, 2014.

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37

Amundson, Neal R., Rutherford Aris e Hyun-Ku Rhee. First-Order Partial Differential Equations, Vol. 2. Dover Publications, Incorporated, 2013.

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38

Moussiaux, Alain, Andrei D. Polyanin e Valentin F. Zaitsev. Handbook of First-Order Partial Differential Equations. Taylor & Francis Group, 2001.

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39

Amundson, Neal R., Rutherford Aris e Hyun-Ku Rhee. First-Order Partial Differential Equations, Vol. 2. Dover Publications, Incorporated, 2013.

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40

Moussiaux, Alain, Andrei D. Polyanin e Valentin F. Zaitsev. Handbook of First-Order Partial Differential Equations. Taylor & Francis Group, 2001.

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41

Moussiaux, Alain, Andrei D. Polyanin e Valentin F. Zaitsev. Handbook of First-Order Partial Differential Equations. Taylor & Francis Group, 2014.

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42

Polyanin, A. D. Handbook of First-Order Partial Differential Equations (Differential & Integral Equations & Their Applications). Gordon & Breach Publishing Group, 2001.

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43

Lopez, Velazquez Gustavo. Partial Differential Equations of First Order and Their Applications to Physics. World Scientific Publishing Co Pte Ltd, 2012.

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44

Moussiaux, Alain, Andrei D. Polyanin e Valentin F. Zaitsev. Handbook of First-Order Partial Differential Equations (Differential and Integral Equations and Their Applications). CRC, 2001.

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45

Elwood, David Michael. A system involving a nonlinear first order partial differential equation coupled with a nonlinear Volterra integral equation. 1987.

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46

Caratheodory, Constantin, e C. Carathéodory. Calculus of Variations and Partial Differential Equations of First Order. American Mathematical Society, 1999.

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47

Subbotin, Andrei I. Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective. Birkhäuser, 2013.

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48

Subbotin, Andrei I. Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective. Birkhauser Verlag, 2013.

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49

Subbotin, Andrei I. Generalized Solutions of First Order Pdes: The Dynamical Optimization Perspective. Birkhäuser, 2013.

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50

Lopez, Gustavo. Partial Differential Equations of First Order and Their Applications to Physics. World Scientific Publishing Company, 2000.

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