Space and time traveling is one of the humanity’s most fascinating and challenging topics. The speed limitation makes space traveling highly difficult. Therefore, discovering the warp drive mechanism intrigued humani...Space and time traveling is one of the humanity’s most fascinating and challenging topics. The speed limitation makes space traveling highly difficult. Therefore, discovering the warp drive mechanism intrigued humanity to travel in space and time. Miguel Alcubierre proposed a model for warp drive. However, the energy density driven from the Alcubierre warp drive model turns to be negative everywhere. Erik Lentz proposed a shifting vector field in which we shall show that shifting vector field with appropriate spaceship geometry may provide positive energy density for warp drive. Further, we suggest looking at the spaceship geometry as a mother wavelet function with shifting, scaling, and rotation operations that may provide additional positive energy density. This sort of design requires a flexible fuselage that can be stretched and rotated.展开更多
In this paper,we consider the following nonlinear viscoelastic wave equation with variable exponents:utt-△u+∫_(0)^(t)g(t-τ)△u(x,τ)dτ+μut=|u|^(p(x)-2)-u,whereμis a nonnegative constant and the exponent of nonli...In this paper,we consider the following nonlinear viscoelastic wave equation with variable exponents:utt-△u+∫_(0)^(t)g(t-τ)△u(x,τ)dτ+μut=|u|^(p(x)-2)-u,whereμis a nonnegative constant and the exponent of nonlinearity p(·)and g are given functions.Under arbitrary positive initial energy and specific conditions on the relaxation function g,we prove a finite-time blow-up result.We also give some numerical applications to illustrate our theoretical results.展开更多
We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers(AHM)metrics on R^(2)×T^(n-2).This generalizes the previous results of Barzegar et al.(2020)as well as Liang and Zhang(2020).
The pollution and toxic greenhouse gases produced by fossil fuel combustion are troubling as global energy demand continues to rise.To mitigate the consequences of global warming,a transition to sustainable energy sou...The pollution and toxic greenhouse gases produced by fossil fuel combustion are troubling as global energy demand continues to rise.To mitigate the consequences of global warming,a transition to sustainable energy sources is necessary.This manuscript presents a feasible community microgrid design in Hazaribagh,Dhaka based on meteorological data that leads to photovoltaic installation on the rooftop of a local community building.This study shows a microgrid design of a system with the lowest cost of energy and a large renewable fraction,which is analysed using the HOMER Pro software.Using real-time data,analysis of the system cost,cost of energy,renewable fraction,unmet load,energy purchased and energy sold is discussed.A suitable case for electrification is also identified and presented for the selected community.The proposed case yields a cost of energy of$0.0357/kWh,which is 52%less than the current tariff rate,with a 70%renewable fraction.This study will provide people in this community with more green energy at a lower cost;in addition,this designed microgrid sells additional energy to the grid to avoid possible power outages.The potential for a positive energy community is also investigated in terms of energy consumption and renewable output of the planned microgrid.展开更多
Fast-growing economy imposing higher requirement for energy industry During the "Tenth Five-Year Plan" period,China's GDP grew at an average annual rate of 9.5%,and correspondingly the total volume of en...Fast-growing economy imposing higher requirement for energy industry During the "Tenth Five-Year Plan" period,China's GDP grew at an average annual rate of 9.5%,and correspondingly the total volume of energy consumption grew at an average annual rate of 10.5%.展开更多
This paper is concerned with a system of nonlinear viscoelastic wave equations with degenerate nonlocal damping and memory terms.We will prove that the energy associated to the system is unbounded.In fact,it will be p...This paper is concerned with a system of nonlinear viscoelastic wave equations with degenerate nonlocal damping and memory terms.We will prove that the energy associated to the system is unbounded.In fact,it will be proved that the energy will grow up as an exponential function as time goes to infinity,provided that the initial data are positive initial energy.展开更多
Dark matter is identified as negative relative energy between quarks in proton and is generated in cold hydrogen gas with pressure gradient in gravitational field. Positive relative energy PRE can be generated between...Dark matter is identified as negative relative energy between quarks in proton and is generated in cold hydrogen gas with pressure gradient in gravitational field. Positive relative energy PRE can be generated between quarks in protons in cold hydrogen gas in outskirts of the universe. The mechanisms for such creation of dark matter and PRE are reviewed and updated in greater detail and clearer manner. The so-generated dark matter in a galaxy can account for the galaxy’s rotation curve. Star formation in this galaxy uses up the hydrogen atoms and thereby reduces its dark matter content. Dark matter created in intergalactic hydrogen gas can form filaments. In a hypothetical model of the universe, a hydrogen atom with a small amount of negative relative energy or dark matter at the outskirts of this universe can via collisions with other atoms turn into one with a small positive relative energy PRE. Once such a sign change takes place, gravitational attraction switches to anti-gravity repulsion unopposed by any pressure gradient. This leads to a “run away” hydrogen atom moving away from the mass center of the universe and provides a basic mechanism for the accelerating expansion of the universe. This theoretical expansion and the measured redshift data are both compatible with the conception of an acceleratingly expanding universe and complement each other. But they cannot verify each other directly because the present model has been constructed for purposes different from those of the measurements. But it can be shown that both approaches do support each other qualitatively under certain circumstances for small velocities. Dark matter and PRE in the present model are not foreign objects like WIMPs and dark energy-cosmological constant but can only be created in cold hydrogen gas in gravitational field. To achieve this, infrequent collisions among the hydrogen atoms must take place. Dark matter was created first and can eventually later evolve into PRE in the outskirts of the universe and in the intergalactic void. Dark matter and PRE will disappear if the hydrogen atom carrying them becomes ionized as in stars.展开更多
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and ex-pand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Econom-i...The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and ex-pand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Econom-ics. SER-XMU is seeking senior scientists and experienced engineers to serve as Thrust Leaders and Principal Inves-展开更多
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bioenergy, Energy Efficiency and Energy Econom-
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics...The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and experi-enced engineers to serve as Thrust Leaders and Principal Investigators.展开更多
The School of Energy Research at Xiamen University(SER-XMU)was founded in 2007,to consolidate and expand research in the areas of Physical Energy,Chemical Energy,Bio-energy,Energy Efficiency and Energy Economics.
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007,to consolidate and expand research in the areas of Physical Energy,Chemical Energy,Bio-energy,Energy Efficiency and Energy Economics.
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics...The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and experienced engineers to serve as Thrust Leaders and Principal Investiga-展开更多
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,Bio-energy, Energy Efficiency and Energy Economics....The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and展开更多
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,
The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics...The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior展开更多
We investigate the p-Laplace heat equation ut-△_(p)u=ζ(t)f(u)in a bounded smooth domain.Using differential-inequality arguments,we prove blow-up results under suitable conditions onζ,f,and the initial datum u_(0).W...We investigate the p-Laplace heat equation ut-△_(p)u=ζ(t)f(u)in a bounded smooth domain.Using differential-inequality arguments,we prove blow-up results under suitable conditions onζ,f,and the initial datum u_(0).We also give an upper bound for the blow-up time in each case.展开更多
文摘Space and time traveling is one of the humanity’s most fascinating and challenging topics. The speed limitation makes space traveling highly difficult. Therefore, discovering the warp drive mechanism intrigued humanity to travel in space and time. Miguel Alcubierre proposed a model for warp drive. However, the energy density driven from the Alcubierre warp drive model turns to be negative everywhere. Erik Lentz proposed a shifting vector field in which we shall show that shifting vector field with appropriate spaceship geometry may provide positive energy density for warp drive. Further, we suggest looking at the spaceship geometry as a mother wavelet function with shifting, scaling, and rotation operations that may provide additional positive energy density. This sort of design requires a flexible fuselage that can be stretched and rotated.
基金Birzeit UniversitySharjah University for their supportsponsored by MASEP Research Group in the Research Institute of Sciences and Engineering at University of Sharjah.Grant No.2002144089,2019-2020。
文摘In this paper,we consider the following nonlinear viscoelastic wave equation with variable exponents:utt-△u+∫_(0)^(t)g(t-τ)△u(x,τ)dτ+μut=|u|^(p(x)-2)-u,whereμis a nonnegative constant and the exponent of nonlinearity p(·)and g are given functions.Under arbitrary positive initial energy and specific conditions on the relaxation function g,we prove a finite-time blow-up result.We also give some numerical applications to illustrate our theoretical results.
基金supported by National Natural Science Foundation of China (Grant No. 11731001)the special foundation for Junwu and Guangxi Ba Gui Scholarsthe Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515010379)
文摘We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers(AHM)metrics on R^(2)×T^(n-2).This generalizes the previous results of Barzegar et al.(2020)as well as Liang and Zhang(2020).
文摘The pollution and toxic greenhouse gases produced by fossil fuel combustion are troubling as global energy demand continues to rise.To mitigate the consequences of global warming,a transition to sustainable energy sources is necessary.This manuscript presents a feasible community microgrid design in Hazaribagh,Dhaka based on meteorological data that leads to photovoltaic installation on the rooftop of a local community building.This study shows a microgrid design of a system with the lowest cost of energy and a large renewable fraction,which is analysed using the HOMER Pro software.Using real-time data,analysis of the system cost,cost of energy,renewable fraction,unmet load,energy purchased and energy sold is discussed.A suitable case for electrification is also identified and presented for the selected community.The proposed case yields a cost of energy of$0.0357/kWh,which is 52%less than the current tariff rate,with a 70%renewable fraction.This study will provide people in this community with more green energy at a lower cost;in addition,this designed microgrid sells additional energy to the grid to avoid possible power outages.The potential for a positive energy community is also investigated in terms of energy consumption and renewable output of the planned microgrid.
文摘Fast-growing economy imposing higher requirement for energy industry During the "Tenth Five-Year Plan" period,China's GDP grew at an average annual rate of 9.5%,and correspondingly the total volume of energy consumption grew at an average annual rate of 10.5%.
基金Supported by the National Natural Science Foundation of China(Grant No.11801145)。
文摘This paper is concerned with a system of nonlinear viscoelastic wave equations with degenerate nonlocal damping and memory terms.We will prove that the energy associated to the system is unbounded.In fact,it will be proved that the energy will grow up as an exponential function as time goes to infinity,provided that the initial data are positive initial energy.
文摘Dark matter is identified as negative relative energy between quarks in proton and is generated in cold hydrogen gas with pressure gradient in gravitational field. Positive relative energy PRE can be generated between quarks in protons in cold hydrogen gas in outskirts of the universe. The mechanisms for such creation of dark matter and PRE are reviewed and updated in greater detail and clearer manner. The so-generated dark matter in a galaxy can account for the galaxy’s rotation curve. Star formation in this galaxy uses up the hydrogen atoms and thereby reduces its dark matter content. Dark matter created in intergalactic hydrogen gas can form filaments. In a hypothetical model of the universe, a hydrogen atom with a small amount of negative relative energy or dark matter at the outskirts of this universe can via collisions with other atoms turn into one with a small positive relative energy PRE. Once such a sign change takes place, gravitational attraction switches to anti-gravity repulsion unopposed by any pressure gradient. This leads to a “run away” hydrogen atom moving away from the mass center of the universe and provides a basic mechanism for the accelerating expansion of the universe. This theoretical expansion and the measured redshift data are both compatible with the conception of an acceleratingly expanding universe and complement each other. But they cannot verify each other directly because the present model has been constructed for purposes different from those of the measurements. But it can be shown that both approaches do support each other qualitatively under certain circumstances for small velocities. Dark matter and PRE in the present model are not foreign objects like WIMPs and dark energy-cosmological constant but can only be created in cold hydrogen gas in gravitational field. To achieve this, infrequent collisions among the hydrogen atoms must take place. Dark matter was created first and can eventually later evolve into PRE in the outskirts of the universe and in the intergalactic void. Dark matter and PRE will disappear if the hydrogen atom carrying them becomes ionized as in stars.
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and ex-pand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Econom-ics. SER-XMU is seeking senior scientists and experienced engineers to serve as Thrust Leaders and Principal Inves-
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bioenergy, Energy Efficiency and Energy Econom-
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and experi-enced engineers to serve as Thrust Leaders and Principal Investigators.
文摘The School of Energy Research at Xiamen University(SER-XMU)was founded in 2007,to consolidate and expand research in the areas of Physical Energy,Chemical Energy,Bio-energy,Energy Efficiency and Energy Economics.
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007,to consolidate and expand research in the areas of Physical Energy,Chemical Energy,Bio-energy,Energy Efficiency and Energy Economics.
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and experienced engineers to serve as Thrust Leaders and Principal Investiga-
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior scientists and
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy,
文摘The School of Energy Research at Xiamen University (SER-XMU) was founded in 2007, to consolidate and expand research in the areas of Physical Energy, Chemical Energy, Bio-energy, Energy Efficiency and Energy Economics. SER-XMU is seeking senior
文摘We investigate the p-Laplace heat equation ut-△_(p)u=ζ(t)f(u)in a bounded smooth domain.Using differential-inequality arguments,we prove blow-up results under suitable conditions onζ,f,and the initial datum u_(0).We also give an upper bound for the blow-up time in each case.
