Mathematical physics

This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set of weak solutions of the Navier-Stokes inequality, while also providing a clear and insightful presentation of Scheffer's constructions showing their bound cannot be improved.

This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics.

This book presents recent mathematical methods in the area of inverse problems in imaging with a particular focus on the computational aspects and applications.

This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

The sixth edition of this highly successful textbook provides a detailed introduction to Monte Carlo simulation in statistical physics, which deals with the computer simulation of many-body systems in condensed matter physics and related fields of physics and beyond (traffic flows, stock market fluctuations, etc.

The wealth of recent cosmic microwave background and large-scale structure data has transformed the field of cosmology.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

Recent experimental evidence about the possibility of "e;absolute negative temperature"e; states in physical systems has triggered a stimulating debate about the consistency of such a concept from the point of view of Statistical Mechanics.

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.

This contributed volume is based on talks given at the August 2016 summer school "e;Fluids Under Pressure,"e; held in Prague as part of the "e;Prague-Sum"e; series.

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

This book provides a selection of contributions to the DIPSI workshop 2019 (Droplet Impact Phenomena & Spray Investigations) as well as recent progress of the Int.

Astrophysical observations implying the existence of Dark Matter and Dark Energy, which are not described by the Standard Model (SM) of particle physics, have led to extensions of the SM predicting new particles that could be directly produced at the Large Hadron Collider (LHC) at CERN.

In the present work, the target station of the accelerator-driven neutron source HBS is optimized in comprehensive parameter studies using the Monto-Carlo method.

Since 1950, the Highway Capacity Manual has been a standard used in the planning, design, analysis, and operation of virtually any highway traffic facility in the United States.

This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air.

This book presents 57 peer-reviewed papers from the 12th Conference on Traffic and Granular Flow (TGF) held in Washington, DC, in July 2017.

This contributed volume explores the renaissance of general relativity after World War II, when it transformed from a marginal theory into a cornerstone of modern physics.

This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday.

Written in the 1980s by one of the fathers of chaos theory, Otto E.

This book presents nanomaterials as predicted by computational modelling and numerical simulation tools, and confirmed by modern experimental techniques.

This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch's Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions.

This work introduces heavy ion beam probe diagnostics and presents an overview of its applications.

Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face.

How does mathematics impact everyday events?

This book discusses the design of new space missions and their use for a better understanding of the dynamical behaviour of solar system bodies, which is an active field of astrodynamics.

This book presents several new findings in the field of turbulent duct flows, which are important for a range of industrial applications.

The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies.

This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories.

This thesis make significant contributions to both the numerical and analytical aspects of particle physics, reducing the noise associated with matrix calculations in quantum chromodynamics (QCD) and modeling multi-quark mesonic matters that could be used to investigate particles previously unseen in nature.

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.

This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity.

This book presents the state-of-the-art in supercomputer simulation.

This book presents a selection of Prof.

Recent years have been characterized by tremendous advances in quantum information and communication, both theoretically and experimentally.

This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus.

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials.

This monograph is a comprehensive and cohesive exposition of power-law statistics.

This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity.

In this book, all physical laws are derived from a small number of invariant integrals which express the conservation of energy, mass, or momentum.

In 2008, the European FP6 JETSET project ended.

This textbook provides an introduction to representations of general *-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.

This textbook presents the elementary aspects of quantum computing in a mathematical form.

This PhD thesis is dedicated to a subfield of elementary particle physics called "e;Flavour Physics"e;.

This book focuses on original theories and approaches in the field of mechanics.

This textbook develops Special Relativity in a systematic way and offers problems with detailed solutions to empower students to gain a real understanding of this core subject in physics.

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion.

This book is about the drift, diffusion, and reaction of ions moving through gases under the influence of an external electric field, the gas temperature, and the number density.

This primer is a collection of notes based on lectures that were originally given at IIT Madras (India) and at IFT Madrid (Spain).