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

, then for small data, shocks are the only possible singularities that can develop. Moreover, the author exhibits an open set of small data whose;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations;

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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

present a unified approach to deal with these quasilinear PDEs. The book first studies the particular self-similar singularity solutions;

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Lectures on nonlinear physics

expansion method to solve problems of nonlinear oscillations; description of nonlinear wave steepening and shock wave formation using the Lagrange;

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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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Nonlinear Wave Equations

solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer;

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Shock Wave Engine Design

of shock wave engines, it provides engineers with practical step--by--step guidelines applicable to the design and construction of small, light;

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Full 3D Seismic Waveform Inversion

arbitrary 3D geological media and seismic source models. Source codes provided allow readers to experiment with the calculations demonstrated and;

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Plasma Kinetic Theory

the important Vlasov-Maxwell equations. The solutions of these equations in linear and quasilinear approximations comprise the majority;

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Introduction to Simple Shock Waves in Air

This book provides an elementary introduction to one-dimensional fluid flow problems involving shock waves in air. The differential;

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Introduction to Simple Shock Waves in Air

This book provides an elementary introduction to one-dimensional fluid flow problems involving shock waves in air. The differential;

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Geometrical Optics and Related Topics

This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D;

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Waves and Boundary Problems

of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition;

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Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems;

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Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems;

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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous;

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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous;

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Nonlinear Wave Equations

tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour;

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Lectures on Nonlinear Hyperbolic Differential Equations

initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with;

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Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or;

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Bubble Nucleation and Dynamics

For pnenomena involving bubble nucleation, the molecular cluster model is used to predict the tensile strength and superheat limit;

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Shock Wave Compression of Condensed Matter

This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

schemes to MHD modelling of physical phenomena. The authors also address a number of original nonclassical problems, such as shock wave;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

schemes to MHD modelling of physical phenomena. The authors also address a number of original nonclassical problems, such as shock wave;

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Analytical Fluid Dynamics

New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid;

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Justification of the Courant-Friedrichs Conjecture for the Problem About Flow Around a Wedge

weak shock drastically differs from the previous one. It is amazing but for the compactly supported initial data the solution to the linear;

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