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Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

This book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the;

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Cambridge Aerospace Series

even in this regard is not intended to be exhaustive in its treatment. Although the practical applications of the one-dimensional Euler;

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Cambridge Aerospace Series

even in this regard is not intended to be exhaustive in its treatment. Although the practical applications of the one-dimensional Euler;

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Numerical Computation of Compressible and Viscous Flow

for solving the one and quasi one dimensional Euler equations Extension of the presented algorithms for solving the Euler equations and the;

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Mathematical Foundation of Turbulent Viscous Flows

of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear;

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Convex Analysis and Variational Problems

in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no;

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Hyperbolic Conservation Laws and the Compensated Compactness Method

branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first;

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Constructive Real Analysis

This text introduces the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate;

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Metaharmonic Lattice Point Theory

analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the;

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Metaharmonic Lattice Point Theory

analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the;

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Minimizers for a One-Dimensional Elasticity Problem

We study a class of problems in forced phase transitions in one-dimensional, shape-memory solids. The problems incorporate a prescribed;

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Nonlinear Analysis, Differential Equations, and Applications

R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg-Landau-type equation, multi-symplectic;

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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and;

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Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations

In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset;

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Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear;

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Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear;

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Fundamentals of Finite Element Analysis

is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition;

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Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations

Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with;

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An Introduction to Compressible Flows with Applications: Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Super

in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel;

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The two-dimensional Riemann problem in gas dynamics

a series of open problems. With applications ranging from engineering to astrophysics, and as the first book to examine the two-dimensional;

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Adiabatic Invariants in Large-Scale Atmospheric Dynamics

considered as an introduction to the theory of quasi two-dimensional fluid motion concentrating primarily on nearly horizontal fluid parcel;

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Adiabatic Invariants in Large-Scale Atmospheric Dynamics

considered as an introduction to the theory of quasi two-dimensional fluid motion concentrating primarily on nearly horizontal fluid parcel;

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Distribution Theory Applied to Differential Equations

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex;

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Distribution Theory Applied to Differential Equations

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex;

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Classical Beam Theories of Structural Mechanics

, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical;

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