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Sunday, July 26, 2020 | History

6 edition of Blow-up in quasilinear parabolic equations found in the catalog.

Blow-up in quasilinear parabolic equations

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Published by De Gruyter in Berlin, New York .
Written in English

    Subjects:
  • Differential equations, Parabolic.

  • Edition Notes

    Includes bibliographical references (p. [506]-533) and index.

    StatementA.A. Samarskii ... [et al.].
    SeriesDe Gruyter expositions in mathematics ;, v. 19
    ContributionsSamarskiĭ, A. A.
    Classifications
    LC ClassificationsQA372 .R53413 1995
    The Physical Object
    Paginationxxi, 533 p. :
    Number of Pages533
    ID Numbers
    Open LibraryOL1103077M
    ISBN 103110127547
    LC Control Number94028057

    Blow-up in quasilinear parabolic equations (Book, ) [] Get this from a library! Blow-up in quasilinear parabolic equations. () Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities. Journal of Mathematical Analysis and Applications , () Some Notes on Reaction Diffusion Systems with Nonlinear Boundary Conditions.

    The classic problem of regularity of boundary points for higher-order partial differential equations (PDEs) is concerned. For second-order elliptic and parabolic equations, this study was completed by Wiener’s (J. Math. Phys. Mass. Inst. Tech. –, ) and Petrovskii’s (Math. Ann. –, ) criteria, and was extended to more general equations including quasilinear ones.   Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear book.

    This paper deals with the Cauchy problem for a quasilinear parabolic equation with nonlinear source where N ≥ 1, p > 2, m, l, q > 1 and T blow-up time. When q > l + m(p - 2) + p, we first give an upper bound estimate on the localization in terms of the initial support supp u 0 (x) and the blow-up time T. More like this. Global Sobolev Solutions of Quasilinear Parabolic Equations McLeod, Kevin and Milani, Albert, Differential and Integral Equations, ; EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE Liu, Dengming and Mu, Chunlai, Taiwanese Journal of Mathematics, ; Extremal solutions of quasilinear parabolic subdifferential inclusions .


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Blow-up in quasilinear parabolic equations Download PDF EPUB FB2

Blow-up in Quasilinear Parabolic Equations - Aleksandr Andreevich Samarskiĭ, Victor A. Galaktionov, Sergey P. Kurdyumov, A. Mikhailov - Google Books The aim of the Expositions is to present new. Buy Blow-up in quasilinear parabolic equations book in Quasilinear Parabolic Equations (Degruyter Expositions in Mathematics) on FREE SHIPPING on qualified orders Blow-Up in Quasilinear Parabolic Equations (Degruyter Expositions in Mathematics): Samarskii, A.

A., Kurdyumov, S. P., Galaktionov, V. A.: : BooksCited by: Blow-Up in Quasilinear Parabolic Equations A. Samarskii, Victor a. Blow-Up in Quasilinear Parabolic Equations by Samarskii, A.

and a great selection of related books, art and collectibles available now at - Blow-up in Quasilinear Parabolic Equations Degruyter Expositions in Mathematics by Samarskii, a a ; Kurdyumov, S P ; Galaktionov, V a - AbeBooks.

Main Blow-up in quasilinear parabolic equations Blow-up in quasilinear parabolic equations Alexander A. Samarskii, Victor A. Galaktionov, Sergei P. Kurdyumov, Alexander P. Mikhailov. Blow-Up in Quasilinear Parabolic Equations (De Gruyter Expositions in Mathematics) | Alexander A.

Samarskii, Victor A. Galaktionov, Sergei P. Kurdyumov, Alexander P. Mikhailov, Michael Grinfeld | download | B–OK. Download books for free. Find books. Chapter II: Some quasilinear parabolic equations.

Self-similar solutions and their asymptotic stability; Chapter III: Heat localization (inertia) Chapter IV: Nonlinear equation with a source.

Blow-up regimes. Localization. Asymptotic behaviour of solutions. Chapter V: Methods of generalized comparison of solutions of different nonlinear.

Book. Blow-Up in Quasilinear Parabolic Equations Details Author(s): A. Samarskii, Victor a. Galaktionov, Sergey p. Kurdyumov and A. Mikhailov Edition: Originally published In the past decades, there have been many works dealing with existence and nonexistence of global solutions, blow-up of solutions, bounds of blow-up time, blow-up rates, blow-up sets, and asymptotic behavior of solutions to nonlinear parabolic equations; see the books [6–8] and the survey papers [9–11].

Specially, we would like to know. Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations.

The authors present a unified approach to deal with these quasilinear PDEs. The mathematical investigation of the blow-up phenomena of solutions to nonlinear parabolic equations and systems has received a great deal of attention during the last few decades (we refer the reader especially to the books of Quittner and Souplet and Samarskii et al.

or to the survey paper of Galaktionov and Vazquez and the many references cited therein). Global and blow‐up of solutions for a quasilinear parabolic system with viscoelastic and source terms.

Gongwei Liu. Corresponding Author. Department of Mathematics, Henan University of Technology, Zhengzhou, China In this work, we consider an initial boundary value problem related to the quasilinear parabolic equation.

Finally, we mention some interesting works concerning quasi-linear or degenerate parabolic equations. For example, Winkert and Zacher [] considered a generate class of quasi-linear parabolic problems and established global a priori bounds for the weak solutions of such problems; Fragnelli and Mugnai [] established Carleman estimates for degenerate parabolic equations with interior degeneracy.

This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions. Moreover, an upper bound for the ‘blow-up time’, an upper estimate of the ‘blow-up rate’ and an upper estimate of the global solution are given.

Finally, some. This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach.

Blow up and decay bounds in guasi linear parabolic problems(Special): doi: /proc Kei Matsuura 1, and Mitsuharu Otani 2. Conserved quantities, global existence and blow-up for a generalized CH equation. Discrete & Continuous Dynamical Systems - A,37 (3): doi: /dcds [16] Jong-Shenq Guo.

Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition. () Boundary blow-up solutions for a cooperative system of quasilinear equation. Journal of Mathematical Analysis and Applications() Blow-up rates of large solutions for elliptic equations.

up solutions, the upper bounds for the “blow-up time”, the “upper estimates” of the “blow-up rate” and the “upper estimates” of the global solution. Finally, some application examples will be presented. Mathematics Subject Classification: 35K65, 35K20, 35A Keywords: quasilinear parabolic equation, gradient term, global solution.

This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile.

The authors emphasize the Cauchy problem and present a unified theory for the treatment of these equations. W eissler, Blow up in R n for a parabolic equation with a damping nonlinear gradi- ent term, Nonlinear Di ff usion Equations and Their Equilibrium States, 3 (Gregynog, ), Progr.Blow-up in quasilinear parabolic equations.

[A A Samarskiĭ;] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n bgn.When p= 2, the blow-up properties of the semilinear heat equation () hasve been investigated by many researchers; see the recent survey paper [11].

For p6= 2, the main interest in the past twenty years lies in the regularities of weak solutions of the quasilinear parabolic equations; see the monograph [4] and the references therein.