A mixed Dirichlet-Robin problem for a nonlinear Kirchhoff-Carrier wave equation

被引：3
|
作者：
Nguyen Anh Triet [2 ]
Le Thi Phuong Ngoc [3 ]
Nguyen Thanh Long [1 ]
机构：
[1] Vietnam Natl Univ Ho Chi Minh City, Dept Math & Comp Sci, Univ Nat Sci, Ho Chi Minh City, Vietnam
[2] Univ Architecture HoChiMinh City, Dept Math, Ho Chiminh City, Vietnam
[3] Nhatrang Educ Coll, Nhatrang City, Vietnam
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 02期
关键词：
Faedo-Galerkin method; Linear recurrent sequence; Robin-Dirichlet conditions; Asymptotic expansion in many small parameters; ASYMPTOTIC-EXPANSION; GLOBAL EXISTENCE; STABILITY;
D O I：
10.1016/j.nonrwa.2011.08.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a mixed Dirichlet-Robin problem for a nonlinear Kirchhoff-Carrier wave equation is studied. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, we prove the existence and uniqueness of a weak solution of the above problem. An asymptotic expansion of high order in many small parameters of solutions is also discussed. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：817 / 839
页数：23
相关论文
共 50 条
  • [1] On a nonlinear Kirchhoff-Carrier wave equation associated with Robin conditions
    Nguyen Anh Triet
    Le Thi Phuong Ngoc
    Nguyen Thanh Long
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3363 - 3388
  • [2] Linear Approximation and Asymptotic Expansion associated to the Robin-Dirichlet Problem for a Kirchhoff-Carrier Equation with a Viscoelastic Term
    Le Thi Phuong Ngoc
    Doan Thi Nhu Quynh
    Nguyen Anh Triet
    Nguyen Thanh Long
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (04): : 735 - 769
  • [3] Asymptotic expansion of solutions for the Robin-Dirichlet problem of Kirchhoff-Carrier type with Balakrishnan-Taylor damping
    Nhan, Nguyen Huu
    Nam, Bui Duc
    Ngoc, Le Thi Phuong
    Long, Nguyen Thanh
    FILOMAT, 2023, 37 (08) : 2321 - 2346
  • [4] General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term
    Ngoc, Le Thi Phuong
    Triet, Nguyen Anh
    Duyen, Phan Thi My
    Long, Nguyen Thanh
    ACTA MATHEMATICA VIETNAMICA, 2023, 48 (01) : 151 - 191
  • [5] General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term
    Le Thi Phuong Ngoc
    Nguyen Anh Triet
    Phan Thi My Duyen
    Nguyen Thanh Long
    Acta Mathematica Vietnamica, 2023, 48 : 151 - 191
  • [6] ON A NONLINEAR HEAT EQUATION ASSOCIATED WITH DIRICHLET-ROBIN CONDITIONS
    Le Thi Phuong Ngoc
    Nguyen Van Y
    Alain Pham Ngoc Dinh
    Nguyen Thanh Long
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 166 - 189
  • [7] A Robin-Dirichlet problem for a nonlinear wave equation with the source term containing a nonlinear integral
    Nguyen Huu Nhan
    Le Thi Phuong Ngoc
    Tran Minh Thuyet
    Nguyen Thanh Long
    LITHUANIAN MATHEMATICAL JOURNAL, 2017, 57 (01) : 80 - 108
  • [8] Existence, Blow-Up and Exponential Decay Estimates for the Nonlinear Kirchhoff-Carrier Wave Equation in an Annular with Nonhomogeneous Dirichlet Conditions
    Le Huu Ky Son
    Le Thi Phuong Ngoc
    Nguyen Thanh Long
    FILOMAT, 2019, 33 (17) : 5561 - 5588
  • [9] ON A KIRCHHOFF-CARRIER EQUATION WITH NONLINEAR TERMS CONTAINING A FINITE NUMBER OF UNKNOWN VALUES
    Dzung, Nguyen Vu
    Ngoc, Le Thi Phuong
    Nhan, Nguyen Huu
    Long, Nguyen Thanh
    MATHEMATICA BOHEMICA, 2024, 149 (02): : 261 - 285
  • [10] High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions
    Truong, Le Xuan
    Ngoc, Le Thi Phuong
    Long, Nguyen Thanh
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 467 - 484
12345