Jump to ContentJump to Main Navigation

You are looking at 1-20 of 20 items

  • Keywords: boundary���value problem x
Clear All Modify Search

View:

Formulations of Initial‐Boundary Value Problems

Józef Ignaczak and Martin Ostoja‐Starzewski

in Thermoelasticity with Finite Wave Speeds

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199541645
eISBN:
9780191716164
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541645.003.0002
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

This chapter first presents a conventional and non‐conventional characterization of a thermoelastic process, giving four mixed initial‐boundary value problems (displacement‐temperature and ... More


Elliptic Boundary Value Problems

Karsten Urban

in Wavelet Methods for Elliptic Partial Differential Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780198526056
eISBN:
9780191712340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526056.003.0003
Subject:
Mathematics, Applied Mathematics, Mathematical Finance

A model problem is introduced, namely the univariate two-point boundary value problem, both with periodic boundary conditions and homogeneous Dirichlet boundary conditions. The chapter describes the ... More


PERSISTENCE OF MULTIDIMENSIONAL SHOCKS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0012
Subject:
Mathematics, Applied Mathematics

This chapter is partly influenced by Majda's work. Viewing shock fronts as free boundaries, it addresses their stability and existence by fixing front locations through a solution-dependent change of ... More


Mathematical Models of Electromagnetism

Peter Monk

in Finite Element Methods for Maxwell's Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198508885
eISBN:
9780191708633
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508885.003.0001
Subject:
Mathematics, Numerical Analysis

This chapter presents a summary of Maxwell’s equations. The time-harmonic Maxwell equations considered throughout this book are derived from the time domain system, and several linear constitutive ... More


On the Origin of Truth Values

Tim Maudlin

in Truth and Paradox: Solving the Riddles

Published in print:
2004
Published Online:
January 2005
ISBN:
9780199247295
eISBN:
9780191601781
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199247293.003.0002
Subject:
Philosophy, Philosophy of Language

The formal language developed in ch. 1 is modelled as a directed graph with a boundary, and the problem of assigning truth values to sentences assimilated to a boundary‐value problem. A trivalent ... More


INTEGRAL PROBLEMS

Andrea Braides

in Gamma-Convergence for Beginners

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.003.0003
Subject:
Mathematics, Applied Mathematics

This chapter deals with integral problems. Using examples, it illustrates the need to use weak topologies to obtain compactness and coerciveness conditions. The sufficiency and necessity of the ... More


Linear elastostatics

Lallit Anand and Sanjay Govindjee

in Continuum Mechanics of Solids

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198864721
eISBN:
9780191896767
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864721.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

In this chapter the basic field equations in terms of displacement, strain, and stress, and typical boundary conditions which are necessary to formulate a complete three-dimensional ... More


Variational formulation of boundary-value problems

Lallit Anand and Sanjay Govindjee

in Continuum Mechanics of Solids

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198864721
eISBN:
9780191896767
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864721.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses a variational formulation of boundary value problems in small deformation solid mechanics. It begins by introducing the important principle of virtual power, and shows that it ... More


Well Posedness

G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos

in Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691142173
eISBN:
9781400842650
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691142173.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter presents rigorous mathematical results concerning the solvability and well posedness of time-harmonic problems for complex electromagnetic media, with a special emphasis on chiral media. ... More


Boundary Value Problems in Dimensions 7, 4 and 3 Related to Exceptional Holonomy

Simon Donaldson

in Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198802013
eISBN:
9780191840500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802013.003.0006
Subject:
Mathematics, Geometry / Topology

The variational point of view on exceptional structures in dimensions 6, 7 and 8 is one of Nigel Hitchin’s seminal contributions. One feature of this point of view is that it motivates the study of ... More


Fundamentals of Transport Equation Formulation for Two-Phase Flow in Homogeneous and Heterogeneous Porous Media

Michel Quintard and Stephen Whitaker

in Vadose Zone Hydrology: Cutting Across Disciplines

Published in print:
1999
Published Online:
November 2020
ISBN:
9780195109900
eISBN:
9780197561058
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195109900.003.0005
Subject:
Earth Sciences and Geography, Oceanography and Hydrology

Most porous media of practical importance are hierarchical in nature; that is, they are characterized by more than one length-scale. When these length-scales are disparate, the hierarchical ... More


Continuum dynamics

Joseph F. Boudreau and Eric S. Swanson

in Applied Computational Physics

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198708636
eISBN:
9780191858598
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198708636.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The theory and application of a variety of methods to solve partial differential equations are introduced in this chapter. These methods rely on representing continuous quantities with discrete ... More


Generalized Dirichlet and Neumann Boundary-Value Problems

D. E. Edmunds and W. D. Evans

in Spectral Theory and Differential Operators

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198812050
eISBN:
9780191861130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812050.003.0006
Subject:
Mathematics, Pure Mathematics

In this chapter, the generalized or weak interpretation of the Dirichlet and Neumann problems for general elliptic expressions is motivated and then the Lax–Milgram Theorem is used to set the ... More


Optimal Stopping Theory and American Options

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198851615
eISBN:
9780191886218
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198851615.003.0028
Subject:
Economics and Finance, Econometrics

In this chapter we present the dynamic programming approach to optimal stopping problems. We start by presenting the discrete time theory, deriving the relevant Bellman equation. We present the Snell ... More


Elasticity Equations with High Contrast Parameters

Habib Ammari, Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, and Abdul Wahab

in Mathematical Methods in Elasticity Imaging

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691165318
eISBN:
9781400866625
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691165318.003.0003
Subject:
Mathematics, Applied Mathematics

This chapter presents some recent results on the elasticity equations with high contrast coefficients. It first sets up the problems for finite and extreme moduli before discussing the incompressible ... More


Optimal Control

David J. N. Limebeer and Matteo Massaro

in Dynamics and Optimal Control of Road Vehicles

Published in print:
2018
Published Online:
April 2019
ISBN:
9780198825715
eISBN:
9780191864636
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198825715.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

Chapter 8 focuses on nonlinear optimal control and its applications. The chapter begins by introducing the fundamentals of optimal control and prototypical problem formulations. This is followed by ... More


Boundary Value Problems for the Lorentzian Dirac Operator

Christian Bär and Sebastian Hannes

in Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198802013
eISBN:
9780191840500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802013.003.0001
Subject:
Mathematics, Geometry / Topology

On a compact globally hyperbolic Lorentzian spin manifold with smooth space-like Cauchy boundary, the (hyperbolic) Dirac operator is known to be Fredholm when Atiyah–Patodi–Singer boundary conditions ... More


The Green’s function in linear elasticity

Adrian P. Sutton

in Physics of Elasticity and Crystal Defects

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198860785
eISBN:
9780191893001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860785.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Crystallography: Physics

The elastostatic Green’s tensor function is the solution of a differential equation for the displacement field created by a unit point force in an infinite continuum. Its symmetry is derived using ... More


Tsunamis

John A. Adam

in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691148373
eISBN:
9781400885404
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148373.003.0013
Subject:
Mathematics, Applied Mathematics

This chapter describes a mathematical model of tsunami propagation (transient waves). A tsunami is a series of ocean waves triggered by large-scale disturbances of the ocean, including earthquakes, ... More


Magnetic Sans of Nanoparticles and Complex Systems

Andreas Michels

in Magnetic Small-Angle Neutron Scattering: A Probe for Mesoscale Magnetism Analysis

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198855170
eISBN:
9780191889547
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198855170.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter provides an overview on the magnetic SANS of nanoparticles and complex systems, which include ferrofluids, magnetic steels, and spin glasses and amorphous magnets. The underlying ... More


View: