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...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/4363296 |
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| _version_ | 1832552560989306880 |
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| author | Ismahan Binshati Harumi Hattori |
| author_facet | Ismahan Binshati Harumi Hattori |
| author_sort | Ismahan Binshati |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4bf71c092e0a4483a9b390282f285d3d |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-4bf71c092e0a4483a9b390282f285d3d2025-02-03T05:58:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/43632964363296Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell EquationIsmahan Binshati0Harumi Hattori1Department of Mathematics, West Virginia University, Morgantown, WV 26506, USADepartment of Mathematics, West Virginia University, Morgantown, WV 26506, USAWe 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.http://dx.doi.org/10.1155/2020/4363296 |
| spellingShingle | Ismahan Binshati Harumi Hattori Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation International Journal of Differential Equations |
| title | Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation |
| title_full | Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation |
| title_fullStr | Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation |
| title_full_unstemmed | Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation |
| title_short | Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation |
| title_sort | global existence and asymptotic behavior of solutions for compressible two fluid euler maxwell equation |
| url | http://dx.doi.org/10.1155/2020/4363296 |
| work_keys_str_mv | AT ismahanbinshati globalexistenceandasymptoticbehaviorofsolutionsforcompressibletwofluideulermaxwellequation AT harumihattori globalexistenceandasymptoticbehaviorofsolutionsforcompressibletwofluideulermaxwellequation |