Mathematical physics

This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems.

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.

Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E.

Still today, turbulence in fluids is considered as one of the most difficult problems of modern physics.

The Japanese original edition of "e;FEM for Springs"e; was published in 1997, to com- memorate the 50th anniversary of Japan Society for Spring Research (JSSR).

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses.

Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory.

The Standard Model is the foundation of modern particle and high energy physics.

This monograph comprehensively describes phenomena of heat flow during phase change as well as the dynamics of liquid solidification, i.

This book is a graduate-level self-study guide of bound states in elementary particle physics and consequently in the standard model.

Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy.

In the wake of the computer revolution, a large number of apparently uncon- nected computational techniques have emerged.

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language.

Since the human organism is itself an open system, we are naturally curious about the behavior of other open systems with fluxes of matter, energy or information.

This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons.

In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories.

This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes.

This monograph describes some approaches to the nonlinear theory of plates and shells.

An introduction to key concepts of quantum information processing for graduates and researchers.

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies.

This PhD thesis focuses on the search for flavor-changing neutral currents in the decay of a top quark to an up-type quark (q = u, c) and the Standard Model Higgs boson, where the Higgs boson decays to bb.

Vortex motion is one of the basic states of a flowing continuum.

This book collects contributions to the XXIII international conference "e;Nonlinear dynamics of electronic systems"e;.

Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world.

Modelling Fluid Flow presents invited lectures, workshop summaries and a selection of papers from a recent international conference CMFF '03 on fluid technology.

The Handbook of Materials Modeling, 2nd edition is a six-volume major reference serving a steadily growing community at the intersection of two mainstreams of global research: computational science and materials science and technology.

The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories.

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms.

Computer simulation of systems has become an important tool in scientific research and engineering design, including the simulation of systems through the motion of their constituent particles.

James Clerk Maxwell (1831-1879) had a relatively brief, but remarkable life, lived in his beloved rural home of Glenlair, and variously in Edinburgh, Aberdeen, London and Cambridge.

This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7-11, 2001.

Nur durch selbständiges Lösen von Aufgaben kann der Student ein tieferes Verständnis für die Mechanik erlangen.

Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.

Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.

Concise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics.

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems.

This book briefly discusses the main provisions of the theory of modeling.

This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Cordoba, Spain, on February 1-5, 2021.

'Intended mainly for physicists and mathematicians.

This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students.

Since the creation of the term "e;Scientific Computing"e; and of its German counterpart "e;Wissenschaftliches Rechnen"e; (whoever has to be blamed for that), scientists from outside the field have been confused about the some- what strange distinction between scientific and non-scientific computations.

This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry.