GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR THE FULL SYSTEM OF DYNAMIC VONKARMAN EQUATIONS

被引：0

作者：

PUEL, JP ^{[1
]}

TUCSNAK, M ^{[1
]}

机构：

[1] UNIV VERSAILLES,ST QUENTIN,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 318卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We considere here the full system of dynamic Von Karman equations, taking into account the in-place acceleration terms, which is a model for the vibrations of a non-linear elastic plate. We prove global existence and uniqueness of strong solutions for this system with various boundary conditions possibly including feedback terms which are useful for stabilization purposes.

引用

页码：449 / 454

页数：6

共 50 条

[21] GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE KIRCHHOFF EQUATIONS WITH STRONG NONLINEAR DAMPING
Ma, Honglv
Zhang, Jin
Zhong, Chengkui
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (09): : 4721 - 4737
[22] Global existence and decay of solutions of a nonlinear system of wave equations
Said-Houari, Belkacem
APPLICABLE ANALYSIS, 2012, 91 (03) : 475 - 489
[23] GLOBAL EXISTENCE OF SOLUTIONS FOR A SYSTEM OF NONLINEAR DAMPED WAVE EQUATIONS
Ogawa, Takayoshi
Takeda, Hiroshi
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2010, 23 (7-8) : 635 - 657
[24] Global existence and regularity of solutions to a system of nonlinear Maxwell equations
Ammari, H
Hamdache, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (01) : 51 - 63
[25] REGULARITY OF VARIATIONAL SOLUTIONS OF VONKARMAN EQUATIONS
JOHN, O
NAUMANN, J
MATHEMATISCHE NACHRICHTEN, 1976, 71 : 23 - 36
[26] Existence and Time-Asymptotics of Global Strong Solutions to Dynamic Korteweg Models
Kotschote, Matthias
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (01) : 21 - 51
[27] Existence of Global Strong Solutions to a Beam-Fluid Interaction System
Grandmont, Celine
Hillairet, Matthieu
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 220 (03) : 1283 - 1333
[28] Global Existence of Strong Solutions to the Cucker-Smale-Stokes System
Bae, Hyeong-Ohk
Choi, Young-Pil
Ha, Seung-Yeal
Kang, Moon-Jin
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2016, 18 (02) : 381 - 396
[29] Global existence of solutions to differential equations
Ramm A.G.
SeMA Journal, 2019, 76 (4) : 625 - 628
[30] Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations
Shang, Zhaoyang
Tang, Fuquan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

← 1 2 3 4 5 →