Download e-book for kindle: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion by Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I.

By Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations exhibits how 4 varieties of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities via their unique quasilinear degenerate representations. The authors current a unified method of care for those quasilinear PDEs.



The ebook first reviews the actual self-similar singularity suggestions (patterns) of the equations. This process permits 4 assorted sessions of nonlinear PDEs to be handled concurrently to set up their outstanding universal gains. The e-book describes many houses of the equations and examines conventional questions of existence/nonexistence, uniqueness/nonuniqueness, international asymptotics, regularizations, shock-wave conception, and diverse blow-up singularities.



Preparing readers for extra complicated mathematical PDE research, the e-book demonstrates that quasilinear degenerate higher-order PDEs, even unique and awkward ones, aren't as daunting as they first look. It additionally illustrates the deep positive aspects shared via various kinds of nonlinear PDEs and encourages readers to advance additional this unifying PDE technique from different viewpoints.

Show description

Read Online or Download Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF

Best differential equations books

Elias Camouzis,G. Ladas's Dynamics of Third-Order Rational Difference Equations with PDF

Extending and generalizing the result of rational equations, Dynamics of 3rd Order Rational distinction Equations with Open difficulties and Conjectures specializes in the boundedness nature of options, the worldwide balance of equilibrium issues, the periodic personality of options, and the convergence to periodic suggestions, together with their periodic trichotomies.

Get Navier-Stokes-Fourier Equations: A Rational Asymptotic PDF

This examine monograph offers with a modeling idea of the process of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and warmth carrying out flows. the most target is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier approach that allows you to unify the puzzle of a number of the partial simplified approximate versions utilized in Newtonian Classical Fluid Dynamics and this, first aspect, have evidently a not easy technique and a crucial pedagogic influence at the college schooling.

G.C. Layek's An Introduction to Dynamical Systems and Chaos PDF

The ebook discusses non-stop and discrete platforms in systematic and sequential ways for all facets of nonlinear dynamics. the original function of the booklet is its mathematical theories on move bifurcations, oscillatory options, symmetry research of nonlinear structures and chaos conception. The logically dependent content material and sequential orientation supply readers with an international review of the subject.

Download e-book for iPad: Dynamical Systems on 2- and 3-Manifolds (Developments in by Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Pochinka

This booklet presents an creation to the topological category of soft structurally sturdy diffeomorphisms on closed orientable 2- and 3-manifolds. The topological category is without doubt one of the major difficulties of the speculation of dynamical structures and the consequences offered during this publication are ordinarily for dynamical platforms pleasing Smale's Axiom A.

Extra info for Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Example text

Download PDF sample

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev


by Kevin
4.1

Rated 4.25 of 5 – based on 37 votes