Partial Differential Equations arising from Physics and Geometry
Title | Partial Differential Equations arising from Physics and Geometry PDF eBook |
Author | Mohamed Ben Ayed |
Publisher | Cambridge University Press |
Pages | 471 |
Release | 2019-05-02 |
Genre | Mathematics |
ISBN | 1108431631 |
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Partial Differential Equations Arising from Physics and Geometry
Title | Partial Differential Equations Arising from Physics and Geometry PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 2019 |
Genre | Differential equations, Partial |
ISBN |
In this edited volume leaders in the field of partial differential equations present recent work on topics in PDEs arising from geometry and physics. The papers originate from a 2015 research school organized by CIMPA and MIMS in Hammamet, Tunisia to celebrate the 60th birthday of the late Professor Abbas Bahri. The opening chapter commemorates his life and work. While the research presented in this book is cutting-edge, the treatment throughout is at a level accessible to graduate students. It includes short courses offering readers a unique opportunity to learn the state of the art in evolution equations and mathematical models in physics, which will serve as an introduction for students and a useful reference for established researchers. Finally, the volume includes many open problems to inspire the next generation.
Partial Differential Equations III
Title | Partial Differential Equations III PDF eBook |
Author | Michael E. Taylor |
Publisher | Springer Science & Business Media |
Pages | 734 |
Release | 2010-11-02 |
Genre | Mathematics |
ISBN | 1441970495 |
The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis
Partial Differential Equations
Title | Partial Differential Equations PDF eBook |
Author | Michael E. Taylor |
Publisher | Springer Science & Business Media |
Pages | 590 |
Release | 1996-06-25 |
Genre | Mathematics |
ISBN | 9780387946542 |
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
Partial Differential Equations I
Title | Partial Differential Equations I PDF eBook |
Author | Michael E. Taylor |
Publisher | Springer Science & Business Media |
Pages | 673 |
Release | 2010-10-29 |
Genre | Mathematics |
ISBN | 144197055X |
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
Partial Differential Equations in Classical Mathematical Physics
Title | Partial Differential Equations in Classical Mathematical Physics PDF eBook |
Author | Isaak Rubinstein |
Publisher | Cambridge University Press |
Pages | 704 |
Release | 1998-04-28 |
Genre | Mathematics |
ISBN | 9780521558464 |
The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
Partial Differential Equations I
Title | Partial Differential Equations I PDF eBook |
Author | Michael Taylor |
Publisher | Springer |
Pages | 654 |
Release | 2010-11-05 |
Genre | Mathematics |
ISBN | 9781441970541 |
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.