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A Gradient Structure for Reaction-diffusion Systems and for Energy-drift-diffusion Systems
  • Language: en
  • Pages: 17
Evolution Equations in Scales of Banach Spaces
  • Language: en
  • Pages: 310

Evolution Equations in Scales of Banach Spaces

The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. Conditions are proved characterizing well-posedness of the linear, time-dependent Cauchy problem in scales of Banach spaces and implying local existence, uniqueness, and regularity of solutions of the quasilinear Cauchy problem. Many applications illustrate the generality of the approach. In particular, using the Fefferman-Phong inequality unifying results on parabolic and hyperbolic equations generalizing classical ones and a unified treatment of Navier-Stokes and Euler equations is described. Assuming only basic knowledge in analysis and functional analysis the book provides all mathematical tools and is aimed for students, graduates, researchers, and lecturers.

One-Dimensional Inverse Problems of Mathematical Physics
  • Language: en
  • Pages: 80

One-Dimensional Inverse Problems of Mathematical Physics

A monograph that deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times.

Scientific Computing in Chemical Engineering
  • Language: en
  • Pages: 274

Scientific Computing in Chemical Engineering

Scientific Computing in Chemical Engineering gives the state of the art from the point of view of the numerical mathematicians as well as from the engineers. The application of modern methods in numerical mathematics on problems in chemical engineering, especially reactor modeling, process simulation, process optimization and the use of parallel computing is detailed.

Partial Differential Equations and Functional Analysis
  • Language: en
  • Pages: 334

Partial Differential Equations and Functional Analysis

Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory. The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at th...

Mathematics – Key Technology for the Future
  • Language: en
  • Pages: 353

Mathematics – Key Technology for the Future

This book is about the results of a number of projects funded by the BMBF in the initiative "Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.

Algorithms as a Basis of Modern Applied Mathematics
  • Language: en
  • Pages: 515

Algorithms as a Basis of Modern Applied Mathematics

This book offers a self-contained guide to advanced algorithms and their applications in various fields of science. Gathering contributions by authoritative researchers in the field of mathematics, statistics and computer science, it aims at offering a comprehensive and up-to-date view of algorithms, including the theory behind them, as well as practical considerations, current limitations and solutions. It covers applications in energy management, decision making, computer networks, materials science, mechanics and process optimization. It offers an integrated and timely guide to important algorithms, and represents a valuable reference resource for graduate students and researchers in various fields of applied mathematics, statistics and engineering.

Advanced Physical Models for Silicon Device Simulation
  • Language: en
  • Pages: 370

Advanced Physical Models for Silicon Device Simulation

From the reviews: "... this is a well produced book, written in a easy to read style, and will also be a very useful primer for someone starting out the field [...], and a useful source of reference for experienced users ..." Microelectronics Journal

Theory of Nonlinear Operators
  • Language: en
  • Pages: 332

Theory of Nonlinear Operators

No detailed description available for "Theory of Nonlinear Operators".

One-dimensional Open Schrödinger-Poisson Systems
  • Language: en
  • Pages: 163

One-dimensional Open Schrödinger-Poisson Systems

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