Navier-Stokes Equations in Irregular Domains (Mathematics and Its Applications, #326)
by L. Stupelis
The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such...
Calculus of the Cosmos and the Neutrino (Thesis in Physics, #2)
by James C Williams
Partial Differential Equations II (Applied Mathematical Sciences, #116)
by Michael E. Taylor
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index t...
Animal forest MINI (Mini Coloring Books for Adults, #4)
by Lin Watchorn
Stochastic Differential Equations: Theory and Applications (Interdisciplinary Mathematical Sciences)
Kinetic Equations (de Gruyter Applied and Numerical Mathematics, 5/1) (De Gruyter Series in Applied and Numerical Mathematics)
by Alexander V Bobylev
This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The first volume covers many-particle dynamics, Maxwell models of the Boltzmann equation (including their exact and self-similar solutions), and hydrodynamic limits beyond the Navier-Stokes level.
200 Worksheets - Word Names for 11 Digit Numbers (200 Days Math Number Name, #10)
by Kapoo Stem
Partial Differential Equations (Oxford Applied Mathematics & Computing Science)
by William Elwyn Williams
Sobolev Gradients and Differential Equations (Lecture Notes in Mathematics, #1670)
by John W. Neuberger
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transoni...
Partial Differential Equations II
by Former Professor of English Michael Taylor
Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics, #45)
by Stig Larsson and Vidar Thomee
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Si...
Introduction to Partial Differential Equations (Texts in Applied Mathematics, #29)
by Aslak Tveito and Ragnar Winther
This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite...
This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finally cooperative and noncooperative partitions. All concepts presented are illustrated by examples from game theory, economics, and learning.
Partial Differential Equations: Methods, Applications And Theories (2nd Edition)
by Harumi Hattori
This is an introductory level textbook for partial differential equations (PDEs). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs or applied mathematics. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs.Chapters One to Five are organized to aid understanding of the basic PDEs. They include the first-order equations and the three fundamental second-order...
In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied.Thi...
Cauchy Problem For Noneffectively Hyperbolic Operators (Mathematical Society Of Japan Memoirs, #30)
At a double characteristic point of a differential operator with real characteristics, the linearization of the Hamilton vector field of the principal symbol is called the Hamilton map and according to either the Hamilton map has non-zero real eigenvalues or not, the operator is said to be effectively hyperbolic or noneffectively hyperbolic.For noneffectively hyperbolic operators, it was proved in the late of 1970s that for the Cauchy problem to be C well posed the subprincipal symbol has to be...
Local Density of Solutions to Fractional Equations (de Gruyter Studies in Mathematics, #74)
by Alessandro Carbotti, Serena Dipierro, and Enrico Valdinoci
This book presents in a detailed and self-contained way a new and important density result in the analysis of fractional partial differential equations, while also covering several fundamental facts about space- and time-fractional equations.
Partial Differential Equations in Action (La Matematica per il 3+2, #87) (UNITEXT, #99)
by Sandro Salsa
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other...
Beyond the Triangle
by Sabir Umarov, Marjorie Hahn, and Kei Kobayashi
This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics.Both rational and piecewise linear...