کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1865086 1037790 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Perturbational blowup solutions to the compressible 1-dimensional Euler equations
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Perturbational blowup solutions to the compressible 1-dimensional Euler equations
چکیده انگلیسی

We construct non-radially symmetry solutions for the compressible 1-dimensional adiabatic Euler equations in this Letter. In detail, we perturb the linear velocity with a drifting term:equation(1)u=c(t)x+b(t),u=c(t)x+b(t), to seek new solutions. Then, we transform the problem into the analysis of ordinary differential equations. By investigating the corresponding ordinary differential equations, a new class of blowup or global solutions can be given. Here, our constructed solutions can provide the mathematical explanations for the drifting phenomena of some propagation wave like Tsunamis. And when we adopt the Galilean-like transformation to a drifting frame, the constructed solutions are self-similar.


► We construct non-radially symmetry solutions for the 1-dimensional Euler equations.
► We perturb the linear velocity with a drifting term to seek new solutions.
► We transform the Euler system into the ordinary differential equations analysis.
► The solutions model the drifting phenomena of some propagation wave like Tsunamis.
► Under the Galilean-like transformation, the constructed solutions are self-similar.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 375, Issue 44, 24 October 2011, Pages 3821–3825
نویسندگان
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