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

Triet N.A.; Ngoc L.T.P.; Long N.T.

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

机译：非线性Kirchhoff-载波方程的混合Dirichlet-Robin问题

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摘要

In this paper, a mixed DirichletRobin problem for a nonlinear KirchhoffCarrier wave equation is studied. Using the FaedoGalerkin 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.

机译：本文研究了非线性KirchhoffCarrier波动方程的混合DirichletRobin问题。使用FaedoGalerkin方法和非线性项的线性化方法，我们证明了上述问题的一个弱解的存在性和唯一性。还讨论了在许多小的参数解中高阶的渐近展开。

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《Nonlinear analysis. Real world applications》 |2012年第2期|共23页
作者
Triet N.A.; Ngoc L.T.P.; Long N.T.;
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正文语种 eng
中图分类数学分析;
关键词
Asymptotic expansion in many small parameters; FaedoGalerkin method; Linear recurrent sequence; RobinDirichlet conditions;

机译：许多小参数的渐近展开;FaedoGalerkin方法;线性递归序列;RobinDirichlet条件;

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专利

1. A mixed Dirichlet-Robin problem for a nonlinear Kirchhoff-Carrier wave equation [J] . Triet N.A., Ngoc L.T.P., Long N.T. Nonlinear analysis. Real world applications . 2012,第2期

机译：非线性Kirchhoff-载波方程的混合Dirichlet-Robin问题
2. High-order iterative schemes for a nonlinear Kirchhoff-Carrier waveequation associated with the mixed homogeneous conditions [J] . Le Xuan Truong, Le Thi Phuong Ngoc, Nguyen Thanh Long Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第1a2期

机译：与混合齐次条件相关的非线性Kirchhoff-Carrier波方程的高阶迭代方案
3. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter [J] . Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long Mathematical Problems in Engineering . 2018,第1期

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5. Long-term dynamics of a semilinear wave equation with localized nonlinear dissipation, critical source term, and mixed boundary conditions. [D] . Toundykov, Daniel. 2007

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

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