Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation

We study the global existence and asymptotic behavior of the solutions for two-fluid compressible isentropic Euler–Maxwell equations by the Fourier transform and energy method. We discuss the case when the pressure for two fluids is not identical, and we also add friction between the two fluids. In addition, we discuss the rates of decay of Lp−Lq norms for a linear system. Moreover, we use the result for Lp−Lq estimates to prove the decay rates for the nonlinear systems.

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Global existence and asymptotic behavior of solutions for nonlinear wave equations

Indiana University Mathematics Journal ◽

10.1512/iumj.1995.44.2028 ◽

1995 ◽

Vol 44 (4) ◽

pp. 0-0 ◽

Cited By ~ 18

Author(s):

Kunio Hidano ◽

Kimitoshi Tsutaya

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions

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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202508003078 ◽

2008 ◽

Vol 18 (08) ◽

pp. 1383-1408 ◽

Cited By ~ 5

Author(s):

YUMING QIN ◽

YANLI ZHAO

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Stokes Equations ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Navier Stokes ◽

Asymptotic Behavior Of Solutions ◽

Navier Stokes Equations ◽

Viscous Gas ◽

Initial Boundary Value

In this paper, we prove the global existence and asymptotic behavior of solutions in Hi(i = 1, 2) to an initial boundary value problem of a 1D isentropic, isothermal and the compressible viscous gas with an non-autonomous external force in a bounded region.

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Maximal Decay Rates and Asymptotic Behavior of Solutions in Nonlinear Elastic Structures

Optimal Design and Control ◽

10.1007/978-1-4612-0839-6_15 ◽

1995 ◽

pp. 229-240

Author(s):

I. Lasiecka ◽

W. Heyman

Keyword(s):

Asymptotic Behavior ◽

Decay Rates ◽

Asymptotic Behavior Of Solutions ◽

Elastic Structures ◽

Nonlinear Elastic Structures ◽

Nonlinear Elastic

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Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations

Funkcialaj Ekvacioj ◽

10.1619/fesi.47.167 ◽

2004 ◽

Vol 47 (2) ◽

pp. 167-186 ◽

Cited By ~ 11

Author(s):

Octavian G. Mustafa ◽

Yuri V. Rogovchenko

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Differential Equations ◽

Nonlinear Differential Equations ◽

Asymptotic Behavior Of Solutions

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Global existence and asymptotic behavior of solutions for thermodiffusion equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.05.041 ◽

2013 ◽

Vol 408 (1) ◽

pp. 140-153 ◽

Cited By ~ 2

Author(s):

Yuming Qin ◽

Ming Zhang ◽

Baowei Feng ◽

Haiyan Li

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Asymptotic Behavior Of Solutions

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Global Existence and Asymptotic Behavior of Solutions for Nonlinear Wave Equations

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.490-491.327 ◽

2014 ◽

Vol 490-491 ◽

pp. 327-330

Author(s):

Ji Bing Zhang ◽

Yun Zhu Gao

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Damping ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions ◽

Potential Well ◽

Source Terms ◽

Damping And Source Terms

In this paper, we concern with the nonlinear wave equations with nonlinear damping and source terms. By using the potential well method, we obtain a result for the global existence and asymptotic behavior of the solutions.

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