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- W4386415560 abstract "We focus on the global existence and <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msup> <mi>L</mi> <mrow> <mi>p</mi> </mrow> </msup> <mo>−</mo> <msup> <mi>L</mi> <mrow> <mi>q</mi> </mrow> </msup> </math> rates of convergence for the compressible magnetohydrodynamic equations in <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <msup> <mi>R</mi> <mrow> <mn>3</mn> </mrow> </msup> </math> . We prove the global existence of smooth solutions using the standard energy method under the condition that the initial data are close to a constant equilibrium state in <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <msup> <mi>H</mi> <mrow> <mn>3</mn> </mrow> </msup> </math> . Rates of convergence for the solution in <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <msup> <mi>L</mi> <mrow> <mi>q</mi> </mrow> </msup> </math> norm with <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mn>2</mn> <mo>≤</mo> <mi>q</mi> <mo>≤</mo> <mn>6</mn> </math> and its first- and second-order derivatives in <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <msup> <mi>L</mi> <mrow> <mn>2</mn> </mrow> </msup> </math> norm are obtained, if the initial data belong to <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <msup> <mi>L</mi> <mrow> <mi>p</mi> </mrow> </msup> </math> with <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <mn>1</mn> <mo>≤</mo> <mi>p</mi> <mo>≤</mo> <mfrac> <mn>6</mn> <mn>5</mn> </mfrac> </math> ." @default.
- W4386415560 created "2023-09-05" @default.
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- W4386415560 date "2023-09-04" @default.
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- W4386415560 title "Global Existence and Decay Rate of Smooth Solutions for Full System of Partial Differential Equations for Three-Dimensional Compressible Magnetohydrodynamic Flows" @default.
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- W4386415560 doi "https://doi.org/10.1155/2023/5638523" @default.
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