In this article we study the principle of energy conservation for the Euler-Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the Euler-Korteweg system to conserve the total energy. The result applies to the system of Quantum Hydrodynamics....
IN Dirac's "Quantum Mechanics" the "equation of motion" satisfied by any observable , ξ not involving the time explicitly is whereis the Hamiltonian. The conservation of energy, whendoes not involve the time explicitly, is deduced from this by putting ξ =, giving= 0.A. LEES...
we consider the Onsager's conjecture for the compressible Euler equations and elastodynamics in a torus or a bounded domain. Some energy conservation criteria in Onsager's critical spaces \({\underline{B}}^{\alpha }_{p,VMO}\) and Besov spaces \(B^{\alpha }_{p,\infty }\) for weak so...
Onsager conjectured that weak solutions of the Euler equations for incompressible fluids in Rconserve energy only if they have a certain minimal smoothness (of the order of 1/3 fractional derivatives) and that they dissipate energy if they are rougher. In this paper we prove that energy is con...
aThe governing equations for the coupled heat and mass transfer processes can be obtained by following the principles of energy and mass conservation. 治理的等式为被结合的热和质量传递过程可以通过根据能量和大量保护的原则得到。 [translate] 英语翻译 日语翻译 韩语翻译 德语翻译 法语翻译 俄语翻译 阿拉伯语...
We prove a local energy equality for the compressible isentropic Euler equations under the assumptions of Besov regularity in space and Bochner integrabili... L Chomienia - 《Colloquium Mathematicum》 被引量: 0发表: 2022年 Sufficient conditions for local energy conservation for the compressible Euler...
Derivation of the equations of conservation of mass, momentum and energy of compressible fluid mech anics in both Lagrangian and Eulerian forms from an int... Derivation of the equations of conservation of mass, momentum and energy of compressible fluid mech anics in both Lagrangian and Eulerian...
TheBernoulli Equation- A statement of the conservation of energy in a form useful for solving problems involving fluids. For a non-viscous, incompressible fluid in steady flow, the sum of pressure, potential and kinetic energies per unit volume is constant at any point. ...
averyplod veryplod [translate] ahas yet to be penned 有写作 [translate] aincluding base plate and applying the conservations equations for mass and energy with the entropy balance 包括基座平板和运用保护等式为大量和能量与熵平衡 [translate]
Energy conservation for the weak solutions to the ideal inhomogeneous magnetohydrodynamic equations 讲座 活动时间:2020.08.22 00:30 - 2020.08.23 09:30 活动地址:Online 报名收藏清单 主办方 武汉理工大学理学院 讲座介绍 We prove the energy conservation for the weak solution of the three-dimensional ideal...