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On Space-Time Quasiconcave Solutions of the Heat Equation

quasiconcave solution of the heat equation. Utilizing this constant rank theorem, they obtain some strictly convexity results of the spatial and space;

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Linear Fractional Diffusion Wave Equation for Scientists and Engineers

. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes;

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Hot Molecules, Cold Electrons

An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph;

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Hot Molecules Cold Electrons

An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph;

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Applied Differential Equations

Appendix some applications of the Heat Equation are discussed to Model the Environment. NEW TO THE SECOND EDITION: Chapter on Matlab Solution to;

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Notes on Time Decay and Scattering for Some Hyperbolic Problems

Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains;

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Heat Kernels And Spectral Theory

An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory;

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Weighted Inequalities Involving P-quasiconcave Operators

investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) R. In this book we analyse the class Q (I;

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Partial Differential Equations

partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important;

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Heat Conduction, Fifth Edition

practicing engineers. The text begins with fundamental concepts, introducing the governing equation of heat conduction, and progresses through;

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On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation

The authors consider the energy super critical semilinear heat equation $partial _{t}u=Delta u u^{p}, xin mathbb{R}^3, p>5.$ The authors;

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Thermal Fluctuations And Relaxation Processes In Nanomagnets

fluctuations.Starting with the Larmor-like equation for a giant spin, both the stochastic (Langevin) equation of motion of the magnetization and the associated;

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Geometric Optics for Surface Waves in Nonlinear Elasticity

analysis of the amplitude equation is indeed close in a precise sense to $u^{varepsilon}$ on a time interval independent of $varepsilon $. This;

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Discrete Symmetries for the higher dimensional heat equation

physics. Such kind of models relay on symmetries. The existence of exact analytical solution of the difference equation and their conservation;

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Mathematical Analysis of Environmental System

should work. Because the concept of the system state equation relies on a vector-matrix form, the book shows how that particular form;

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Methods for Partial Differential Equations

introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative;

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Introduction to Heat Potential Theory

This book is the first to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential;

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Quantitative Thermochronology

heat transfer equation in a range of tectonic settings and under varying boundary conditions. They then illustrate their modeling approach;

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Quantitative Thermochronology

heat transfer equation in a range of tectonic settings and under varying boundary conditions. They then illustrate their modeling approach;

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Heat Conduction

one-semester graduate course, the text begins with fundamental concepts, introducing the governing equation of heat conduction as derived from;

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Intermediate Heat Transfer

approach eliminates the need for complicated charts or equations. The chapter on mass tr;

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Intermediate Heat Transfer

approach eliminates the need for complicated charts or equations. The chapter on mass tr;

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The Finite Element Method In Heat Transfer Analysis

finite element method in heat transfer analysis. Starting with the fundamental general heat conduction equation, the book moves on to consider;

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Exponentially Convergent Algorithms for Abstract Differential Equations

first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple;

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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the;

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Numerical Methods for Unsteady Compressible Flow Problems

of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions;

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Invariance Theory

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex;

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