The existence of homoclinic orbits for a perturbed cubic-quintic nonlinear Schr?dinger equation with even periodic boundary conditions under the generalized parameters conditions is established. We combined geometric ...
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The existence of homoclinic orbits for a perturbed cubic-quintic nonlinear Schr?dinger equation with even periodic boundary conditions under the generalized parameters conditions is established. We combined geometric singular perturbation theory, Melnikov analysis, and integrable theory to prove the persistence of homocliuic orbits.
In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions...
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In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions where solutions of Hamilton-Jacobi equations varies sharply. Numerical results illustrate that the non-oscillatory schemes are stable and the adaptive local refinement method im- proves the accuracy of numerical solutions and the resolution for discontinuity.
The equation of state of hydrogen and its isotopesat high pressure are one of the main subjects on highenergy-density physics, it is meaning a lot notonly for the theoretical research on the interaction ofdiatomic mol...
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The equation of state of hydrogen and its isotopesat high pressure are one of the main subjects on highenergy-density physics, it is meaning a lot notonly for the theoretical research on the interaction ofdiatomic molecule gas,for the calculation ofhydrogen gas storage in high pressure, but also forthe practical research of the detonation effective andof the designing deuterated capsules for inertialconfinement *** temperature of gaseous substance will beraised rapidly under shock compession, Themolecules and atoms composed of gas will bedissociated and ionized, the dissociating moleculesbecome atoms, the ionizing atom become ions,
This paper investigates ejection of metal surface groove under shock wave with molecular dynamics simulation. By using a hybrid tight-binding-like potential, the process of ejection was shown and the wave series propa...
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This paper investigates ejection of metal surface groove under shock wave with molecular dynamics simulation. By using a hybrid tight-binding-like potential, the process of ejection was shown and the wave series propagating in material was classified. After ejection, there propagate one reflection rarefaction wave and one second uploading compression wave in material. And we also observe one negative pressure district and one high-pressure district induced by two wave series. When half-angle of groove is more than 60 degree, there is not ejection, and this is consistent with experiment. Meanwhile, we also study the dependence of the velocity of ejection atom and moving velocity of free surface on the initial shock wave and groove angle, and turn out that two velocities and the groove half-angle is in the direct ratio. In general, the molecular dynamics is good tools to study the interaction between the shock wave with surface, and the insight of ejection is reveal.
It is proved that any weak solution to the initial value problem of two dimensional Landau-Lifshitz equation is unique and is smooth with the exception of at most finitely many points, provided that the weak solution ...
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It is proved that any weak solution to the initial value problem of two dimensional Landau-Lifshitz equation is unique and is smooth with the exception of at most finitely many points, provided that the weak solution has finite energy.
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