Recent Advances in Differential Equations and Mathematical Physics

Recent Advances in Differential Equations and Mathematical Physics
Author: Nikolai Chernov
Publisher: American Mathematical Soc.
Total Pages: 354
Release: 2006
Genre: Mathematics
ISBN: 0821838407

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Surveys topics in differential equations that are associated with mathematical physics. This book includes such topics as asymptotic formulas for the ground-state energy of fermionic gas, $J$-self adjoint Dirac operators, and spectral theory of Schrodinger operators. It is suitable for mathematicians and physicists.

Advances in Differential Equations and Mathematical Physics

Advances in Differential Equations and Mathematical Physics
Author: Yulia E. Karpeshina
Publisher: American Mathematical Soc.
Total Pages: 410
Release: 2003
Genre: Mathematics
ISBN: 0821832964

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This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.

Recent Advances in Differential Equations and Applications

Recent Advances in Differential Equations and Applications
Author: Juan Luis García Guirao
Publisher: Springer
Total Pages: 244
Release: 2019-01-04
Genre: Mathematics
ISBN: 3030003418

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This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Recent Advances in Differential Equations and Control Theory

Recent Advances in Differential Equations and Control Theory
Author: Concepción Muriel
Publisher: Springer Nature
Total Pages: 102
Release: 2021-03-13
Genre: Mathematics
ISBN: 3030618757

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This book collects the latest results and new trends in the application of mathematics to some problems in control theory, numerical simulation and differential equations. The work comprises the main results presented at a thematic minisymposium, part of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), held in Valencia, Spain, from 15 to 18 July 2019. The topics covered in the 6 peer-review contributions involve applications of numerical methods to real problems in oceanography and naval engineering, as well as relevant results on switching control techniques, which can have multiple applications in industrial complexes, electromechanical machines, biological systems, etc. Problems in control theory, as in most engineering problems, are modeled by differential equations, for which standard solving procedures may be insufficient. The book also includes recent geometric and analytical methods for the search of exact solutions for differential equations, which serve as essential tools for analyzing problems in many scientific disciplines.

Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations
Author: James Kirkwood
Publisher: Academic Press
Total Pages: 431
Release: 2012-01-20
Genre: Mathematics
ISBN: 0123869110

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Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
Author: S. L. Sobolev
Publisher: Courier Corporation
Total Pages: 452
Release: 1964-01-01
Genre: Science
ISBN: 9780486659640

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This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics
Author: Stefan Bergman
Publisher: Courier Corporation
Total Pages: 450
Release: 2013-01-23
Genre: Mathematics
ISBN: 0486154653

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Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.

Delay Differential Equations

Delay Differential Equations
Author: Balakumar Balachandran
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2009-04-05
Genre: Technology & Engineering
ISBN: 0387855955

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Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

Differential Equations And Asymptotic Theory In Mathematical Physics

Differential Equations And Asymptotic Theory In Mathematical Physics
Author: Hua Chen
Publisher: World Scientific
Total Pages: 389
Release: 2004-10-18
Genre: Mathematics
ISBN: 9814481688

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This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Recent Advances in Differential Equations

Recent Advances in Differential Equations
Author: Roberto Conti
Publisher: Elsevier
Total Pages: 462
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483273911

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Recent Advances in Differential Equations contains the proceedings of a meeting held at the International Center for Theoretical Physics in Trieste, Italy, on August 24-28, 1978 under the auspices of the U.S. Army Research Office. The papers review the status of research in the field of differential equations (ordinary, partial, and functional). Both theoretical aspects (differential operators, periodic solutions, stability and bifurcation, asymptotic behavior of solutions, etc.) and problems arising from applications (reaction-diffusion equations, control problems, heat flow, etc.) are discussed. Comprised of 33 chapters, this book first examines non-cooperative trajectories of n-person dynamical games and stable non-cooperative equilibria, followed by a discussion on the determination and application of Vekua resolvents. The reader is then introduced to generalized Hopf bifurcation; some Cauchy problems arising in computational methods; and boundary value problems for pairs of ordinary differential operators. Subsequent chapters focus on degenerate evolution equations and singular optimal control; stability of neutral functional differential equations; local exact controllability of nonlinear evolution equations; and turbulence and higher order bifurcations. This monograph will be of interest to students and practitioners in the field of mathematics.