[PDF] Top 20 Stability of the Hartree equation with time-dependent coefficients

... the stability for the nonlinear Schrödinger equation (.) of Hartree type under the perturbation of ...this equation is stable under the perturbation of coefficients by a bootstrap ... See full document

... of time-dependent leading and lower-order thermal co- efficients is ...heat equation from Cauchy boundary ...The stability of numerical results is investigated for several test examples with ... See full document

... ization was needed for exact data, in this Example 3 for IP2 the numerical results shown in Figure 12 and the decrease in the rmse values reported above show that including a little regularization in (35) improves the ... See full document

... VCCD equation to an ordinary differential equation, by the extended tanh function method we have been able to obtain many other new exact solitary and periodic-type ... See full document

... spontaneous electron-positron pair emission from QED vacuum decay, in case of bare uranium ion collision. A second application of actinide collisions to produce neutron-rich transfermiums is discussed. A new inverse ... See full document

... Abstract—This paper obtains the topological 1-soliton solution of the nonlinear Schr¨odinger’s equation in 1+2 dimensions, with power law nonlinearity and time-dependent coefficients. The ... See full document

... conformational stability and aggregation due to colloidal ...and time-dependent rate of thermal unfolding can assess conformational stability of a protein while measurement of second virial ... See full document

... damping coefficients in the wave equation from Cauchy data boundary measurements of the deflection and the flux tension are ...and stability results that are revised and in some cases proved ... See full document

... One of the motivations to investigate the singular solution comes from [], in which the single parabolic equation in the linear diffusion case (m = ) has been considered. However, the degenerate diffusion and the ... See full document

... [10] L. E. Payne, G. A. Philippin and S. Vernier-Piro, “Blow- Up Phenomena for a semilinear Heat Equation with Non- linear Boundary Condition, II,” Nonlinear Analysis: The- ory, Methods & Applications, Vol. ... See full document

... advection-diffusion equation without adsorp- ...tion-dispersion equation with time dependent dispersion coefficients by eliminating convective terms by intro- ducing moving coordinate ... See full document

... advection-diffusion equation with the purpose to simulate pollutant dispersion in atmosphere in a more realistic ...diffusivities coefficients for example (Moreira et ...the time-dependent ... See full document

... We mention that (10) is a fundamental partial differential equations from fluid mechanics. It occurs in various areas of applied Mathematics, such as modeling of gas dynamics and traffic flow. In fact, differential ... See full document

... Synthesising yet heavier elements necessitates different methods, namely fusion of two lighter nuclei resulting in a Z > 100 system. The name superheavy element (SHE) applies to those that have Z ≥ 104 which are also ... See full document

... Schrödinger equation, in the limiting case of = 0, the principal term of the series in → 0 determines the phase trajec- tory of the Hamilton system with the Hamiltonian Ᏼ ( p, x, t), and the function S(t, 0) is ... See full document

... spatially dependent coefficients (which extends the use of the technique considerably), Hill (2008) further developed the method in the context of penetrative double-diffusive ...was dependent on the salt ... See full document

... the time-dependent Hartree–Fock method 24 (TD HF), the CIS(D) method 23b or the time- dependent density functional method 25–27 (TD ... See full document

... From then on, the study of existence of positive periodic solutions for second-order singular differential equations has attracted many researchers’ attention (see [2, 3, 6, 7, 9, 10, 12, 16, 18, 20]). For example, in ... See full document

... one time as the goal achieved and a short time later the purpose behind vision should not be done likewise a dream should have the dynamic and bearing trademark towards the ... See full document

... This paper investigated the problem of global asymptotic stability of delayed neutral neural networks. These neutral delayed neural networks are formulated by neutral delay differential equations. They not only ... See full document