1.

Record Nr.

UNINA9910465621003321

Autore

Gerbeau Jean-Frédéric

Titolo

Mathematical methods for the magnetohydrodynamics of liquid metals [[electronic resource] /] / Jean-Frédéric Gerbeau, Claude la Bris and Tony Lelièvre

Pubbl/distr/stampa

Oxford, : Oxford University Press, 2006

ISBN

9786610903979

1-4294-7019-4

0-19-151374-1

1-280-90397-X

Descrizione fisica

1 online resource (325 p.)

Collana

Numerical mathematics and scientific computation

Oxford science publications

Altri autori (Persone)

Le BrisClaude

LelièvreTony

Disciplina

538.6

Soggetti

Liquid metals

Magnetohydrodynamics - Mathematics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents; 1 The magnetohydrodynamics equations; 1.1 The general fluid equations; 1.1.1 The conservation equations; 1.1.2 Boundary and initial conditions; 1.1.3 Steady-state equations; 1.2 The electromagnetic description; 1.3 The MHD coupling; 1.3.1 The general MHD system; 1.3.2 A commonly used simplified MHD coupling; 1.3.3 The density-dependent case; 1.4 Other MHD models; 1.5 The MHD system considered in the sequel; 1.6 Non-dimensionalized equations; 2 Mathematical analysis of one-fluid problems; 2.1 Mathematical results on the incompressible homogeneous Navier-Stokes equations

2.1.1 Some basics2.1.2 The illustrative example of the two-dimensional case; 2.1.3 The three-dimensional hydrodynamic case; 2.1.4 Related issues; 2.2 Mathematical results on the one-fluid MHD equations; 2.2.1 A brief overview of the literature; 2.2.2 Mathematical analysis; 2.2.3 Back to the hyperbolic system; 2.2.4 Stationary problems; 2.2.5 A hybrid problem; 2.2.6 Other MHD models and



formulations; 3 Numerical approximation of one-fluid problems; 3.1 A general framework for problems with constraints; 3.1.1 A model problem: the Stokes equations; 3.1.2 Abstract framework for a linear problem

3.1.3 Application to the Stokes problem3.1.4 The inf-sup condition; 3.1.5 The mixed Galerkin method; 3.1.6 Algebraic aspects; 3.1.7 Mixed finite element for the Stokes problem; 3.1.8 Extension to nonlinear problems; 3.2 A glance at stabilized finite elements; 3.3 Mixed formulations of the stationary MHD equations; 3.3.1 A formulation for convex polyhedra and regular domains; 3.3.2 A formulation for non-convex polyhedra; 3.4 Mixed finite elements for MHD; 3.4.1 Mixed finite elements on convex polyhedra and regular domains; 3.4.2 Mixed finite elements on non-convex polyhedra

3.5 Stabilized finite elements for MHD3.6 Solution strategy and algebraic aspects; 3.6.1 Fully coupled iterations for stationary problems; 3.6.2 Decoupled iterations for stationary problems; 3.6.3 Fully coupled iterations for transient problems; 3.6.4 MHD versus Navier-Stokes solvers; 3.7 Examples of test cases and simulations; 3.7.1 Hartmann flows; 3.7.2 A fluid carrying current in the presence of a magnetic field; 3.7.3 Convergence of nonlinear algorithms; 3.8 About the boundary conditions; 3.8.1 First set of boundary conditions; 3.8.2 Second set of boundary conditions

3.8.3 Practical implementation of the boundary conditions4 Mathematical analysis of two-fluid problems; 4.1 The difficulties of the non-homogeneous case; 4.1.1 A formal mathematical argument; 4.1.2 The major ingredient; 4.1.3 Short overview of the state of the art for the hydrodynamic case; 4.2 Weak solutions of the multifluid MHD system; 4.2.1 Mathematical setting of the equations; 4.2.2 Existence of a weak solution; 4.3 On the long-time behavior; 4.3.1 The nonlinear hydrodynamics case; 4.3.2 A detour by linearized models; 4.3.3 The MHD case; 5 Numerical simulation of two-fluid problems

5.1 Numerical approximations in the ALE formulation

Sommario/riassunto

Aimed at research mathematicians, engineers and physicists, as well as those in industry, the approach of this text is highly mathematical and based on solid numerical analysis. It focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on industrial applications.



2.

Record Nr.

UNINA9910975163803321

Autore

Wilson Woodrow <1856-1924.>

Titolo

Woodrow Wilson : Essential Writings and Speeches of the Scholar-President / / edited and introduced by Mario R. DiNunzio

Pubbl/distr/stampa

New York : , : New York University Press, , [2006]

©2006

ISBN

0-8147-8545-X

Edizione

[1st ed.]

Descrizione fisica

1 online resource (459 p.)

Altri autori (Persone)

Di NunzioMario R. <1936->

Disciplina

973.91/3

973.913

Soggetti

Speeches, addresses, etc., American

Electronic books.

United States Politics and government 1865-1933

United States Social conditions 1865-1918

United States Foreign relations 1913-1921

United States Politics and government 1913-1921

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 421-422) and index.

Nota di contenuto

CONTENTS; Acknowledgments; Chronology; Preface; INTRODUCTION; Woodrow Wilson: Scholar-President; 1 On Religion; Early Religious Essays; The Clergyman and the State; The Bible and Progress; 2 Biographical Sketches; William Earl Chatham; John Bright; An Old Master: Adam Smith; Edmund Burke: The Man and His Times; Benjamin Franklin; Abraham Lincoln: A Man of the People; 3 On Education and Scholarship; True Scholarship; On the Study of Politics:Address to Princeton Alumni; Mere Literature; Inaugural Address as President of Princeton; The Princeton Preceptorial System

My Ideal of the True UniversityOn the Importance of the Liberal Arts: Address to the Association of American Universities; 4 The Historian; On the Writing of History; The Course of American History; The Making of the Nation; States Rights; The Reconstruction of the Southern States; The Significance of American History; 5 The Political Scientist; Cabinet Government in the United States; Congressional Government; Socialism and Democracy; The State; The English Constitution; Democracy;



Presidential Address to the American PoliticalScience Association: The Law and the Facts; 6 New Jersey Politics

Government and BusinessConservatism: True and False; Inaugural as Governor; The Democratic Opportunity; Campaign Speech for Governorship; 7 Road to the White House; A Labor Day Address in Buffalo; The New Freedom; Appeal to Republicans; 8 President Wilson; Presidential Inaugural Address; Address at Gettysburg; Addressing Congress on Tariff andAnti-Trust Reforms; Remarks on Women's Suffrage; An Address on Latin American Policy; On Relations with Mexico; An Appeal for Neutrality in World War I; Essential Terms for Peace in Europe

Address to a Joint Session of CongressCalling for a Declaration of WarThe Fourteen Points; League of Nations Address before the SecondPlenary Session of the Peace Conference; Appeal for Support of the League of Nationsat Pueblo, Colorado; Bibliography; Index; About the Editor

Sommario/riassunto

From the Ivy League to the oval office, Woodrow Wilson was the only professional scholar to become a U.S. president. A professor of history and political science, Wilson became the dynamic president of Princeton University in 1902 and was one of its most prolific scholars before entering active politics. Through his labors as student, scholar, and statesman, he left a legacy of elegant writings on everything from educational reform to religion to history and politics. Woodrow Wilson: Essential Writings and Speeches of the Scholar-President collects Wilson's most influential work, from early es