Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations
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DOI: 10.1002/mana.201900313
Abstract: We consider the Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations. The delta shock wave is discovered in the Riemann solutions. It is shown that Dirac delta function develops in the state variable… read more here.
Keywords: steady pressureless; riemann problem; pressureless relativistic; dimensional steady ... See more keywords
Homoclinic orbits in the Euler problem of two fixed centers
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DOI: 10.1016/j.geomphys.2018.05.026
Abstract: We give a complete description of the shapes and the behavior of all homoclinic orbits in the Euler problem of two fixed centers. read more here.
Keywords: two fixed; euler problem; homoclinic orbits; fixed centers ... See more keywords
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses
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DOI: 10.1016/j.jde.2017.12.016
Abstract: Abstract In this paper, we apply the variational method with Structural Prescribed Boundary Conditions (SPBC) to prove the existence of periodic and quasi-periodic solutions for the planar four-body problem with two pairs of equal masses… read more here.
Keywords: planar four; periodic solutions; solutions planar; four body ... See more keywords
The Riemann problem for the two-dimensional zero-pressure Euler equations
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DOI: 10.1016/j.jmaa.2018.12.046
Abstract: Abstract The Riemann problem for the two-dimensional zero-pressure Euler equations is considered. The initial data are constant values in each quadrant, which satisfy an assumption that each initial discontinuity projects only one two-dimensional wave. The… read more here.
Keywords: riemann problem; zero pressure; problem two; pressure euler ... See more keywords
A Revised Tikhonov Regularization Method for a Cauchy Problem of Two-Dimensional Heat Conduction Equation
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DOI: 10.1155/2018/1216357
Abstract: In this paper we investigate a Cauchy problem of two-dimensional (2D) heat conduction equation, which determines the internal surface temperature distribution from measured data at the fixed location. In general, this problem is ill-posed in… read more here.
Keywords: cauchy problem; method; two dimensional; regularization ... See more keywords