The aim of this theory is to study and explain the phenomena that have been predicted by Einstein in the year 1905 which affirms that the mass of a body increases with velocity;the mass of a body increases when it tra...The aim of this theory is to study and explain the phenomena that have been predicted by Einstein in the year 1905 which affirms that the mass of a body increases with velocity;the mass of a body increases when it travels at high speed. In classical physics, it gains in the energy of motion. In relativity that kinetic energy makes itself felt as additional mass. As the object reaches the speed of light, theoretically, its mass becomes “infinite”. Nevertheless, the concept of “infinite mass” is still a subject we know little about. In the following paper, I will be focusing on how and why such phenomena take place. Furthermore, we shall discuss antimatter. Antimatter is now known to shower down from the sky above us, and when a particle meets its antiparticle, both of them disappear in a burst of radiant energy, exactly in accordance with E = mc<sup>2</sup> .展开更多
The objective of present work is to study the thermo diffusion effect on an unsteady simultaneous convective heat and mass transfer flow of an incompressible, electrically conducting, heat generating/absorbing fluid a...The objective of present work is to study the thermo diffusion effect on an unsteady simultaneous convective heat and mass transfer flow of an incompressible, electrically conducting, heat generating/absorbing fluid along a semi-infinite moving porous plate embedded in a porous medium with the presence of pressure gradient, thermal radiation field and chemical reaction. It is assumed that the permeable plate is embedded in a uniform porous medium and moves with a constant velocity in the flow direction in the presence of a transverse magnetic field. It is also assumed that the free stream consists of a mean velocity, temperature and concentration over which are super imposed an exponentially varying with time. The equations of continuity, momentum, energy and diffusion, which govern the flow field, are solved by using a regular perturbation method. The behavior of the velocity, temperature, concentration, Skin-friction, rate of heat transfer and rate of mass transfer has been discussed for variations in the physical parameters. An increase in both Pr and R results a decrease in thermal boundary layer thickness. However, concentration decreases as Kr, Sc increase but it increases with an increase in both So and δ.展开更多
We investigate the nonlinear Schrdinger equation iut＋△u＋｜u｜^p-1u = 0 with 1＋4/N 〈 p 〈 1＋4/（N-2）（when N = 1,2,1 ＋4/N 〈 p 〈 ∞） in energy space H^1 and study the divergent property of infinite-variance a...We investigate the nonlinear Schrdinger equation iut＋△u＋｜u｜^p-1u = 0 with 1＋4/N 〈 p 〈 1＋4/（N-2）（when N = 1,2,1 ＋4/N 〈 p 〈 ∞） in energy space H^1 and study the divergent property of infinite-variance and nonradial solutions.If M（u）^（1-sc）/sc E（u） 〈 M（Q）^（1-sc）/scE（Q） and ｜｜u0｜｜0^（1-sc）/sc ｜｜▽u0｜｜2 〉 ｜｜Q｜｜^（1-sc）/sc ｜▽Q｜｜2,then either u（t） blows up in finite forward time or u（t） exists globally for positive time and there exists a time sequence tn→ ＋∞ such that ｜｜ ▽u（tn）｜｜2 →＋∞.Here Q is the ground state solution of —（1 — sc）Q ＋ △Q ＋ ｜Q｜p-1Q = 0.A similar result holds for negative time.This extend the result of the 3D cubic Schrodinger equation obtained by Holmer to the general mass-supercritical and energy-subcritical case.展开更多
文摘The aim of this theory is to study and explain the phenomena that have been predicted by Einstein in the year 1905 which affirms that the mass of a body increases with velocity;the mass of a body increases when it travels at high speed. In classical physics, it gains in the energy of motion. In relativity that kinetic energy makes itself felt as additional mass. As the object reaches the speed of light, theoretically, its mass becomes “infinite”. Nevertheless, the concept of “infinite mass” is still a subject we know little about. In the following paper, I will be focusing on how and why such phenomena take place. Furthermore, we shall discuss antimatter. Antimatter is now known to shower down from the sky above us, and when a particle meets its antiparticle, both of them disappear in a burst of radiant energy, exactly in accordance with E = mc<sup>2</sup> .
文摘The objective of present work is to study the thermo diffusion effect on an unsteady simultaneous convective heat and mass transfer flow of an incompressible, electrically conducting, heat generating/absorbing fluid along a semi-infinite moving porous plate embedded in a porous medium with the presence of pressure gradient, thermal radiation field and chemical reaction. It is assumed that the permeable plate is embedded in a uniform porous medium and moves with a constant velocity in the flow direction in the presence of a transverse magnetic field. It is also assumed that the free stream consists of a mean velocity, temperature and concentration over which are super imposed an exponentially varying with time. The equations of continuity, momentum, energy and diffusion, which govern the flow field, are solved by using a regular perturbation method. The behavior of the velocity, temperature, concentration, Skin-friction, rate of heat transfer and rate of mass transfer has been discussed for variations in the physical parameters. An increase in both Pr and R results a decrease in thermal boundary layer thickness. However, concentration decreases as Kr, Sc increase but it increases with an increase in both So and δ.
基金Supported in part by the National Natural Science Foundation of China under Grant No.11301564
文摘We investigate the nonlinear Schrdinger equation iut＋△u＋｜u｜^p-1u = 0 with 1＋4/N 〈 p 〈 1＋4/（N-2）（when N = 1,2,1 ＋4/N 〈 p 〈 ∞） in energy space H^1 and study the divergent property of infinite-variance and nonradial solutions.If M（u）^（1-sc）/sc E（u） 〈 M（Q）^（1-sc）/scE（Q） and ｜｜u0｜｜0^（1-sc）/sc ｜｜▽u0｜｜2 〉 ｜｜Q｜｜^（1-sc）/sc ｜▽Q｜｜2,then either u（t） blows up in finite forward time or u（t） exists globally for positive time and there exists a time sequence tn→ ＋∞ such that ｜｜ ▽u（tn）｜｜2 →＋∞.Here Q is the ground state solution of —（1 — sc）Q ＋ △Q ＋ ｜Q｜p-1Q = 0.A similar result holds for negative time.This extend the result of the 3D cubic Schrodinger equation obtained by Holmer to the general mass-supercritical and energy-subcritical case.
