The fluid flow at a constant rate from both an infinite reservoir and a finite reservoir into a line source well were considered. Analytical solutions of the partial differential equation that governs the transient fl...
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The fluid flow at a constant rate from both an infinite reservoir and a finite reservoir into a line source well were considered. Analytical solutions of the partial differential equation that governs the transient flow of fluid through a fractal reservoir were given by using the Laplace transformation and the property of the Bessel function for an infinite reservoir and finite circular reservoir. A large-time approximation solution for an infinite reservoir was also studied. Pressure transient behavior of fluid flow in fractal reservoir was analyzed by using analytical solution. Typical pressure curves were shown. An example was analyzed by using a large-time approximation solution for an infinite reservoir, and fractal parameters were obtained by employing oil reservoir description.
The energy levels of the Schrodinger equation involving the potentials V(r) = r2 + lambda-r2/(1 + gr2) and V +/- (r) = 1/2r2 +/- gr4/(1 + g-alpha-r2) are calculated by using hypervirial and Pade approximant methods.
The energy levels of the Schrodinger equation involving the potentials V(r) = r2 + lambda-r2/(1 + gr2) and V +/- (r) = 1/2r2 +/- gr4/(1 + g-alpha-r2) are calculated by using hypervirial and Pade approximant methods.
Different approaches are discussed of variational principles characterizing coherent vortex structures in two-dimensional flows. Turbulent flows seem to form ordered structures in the large scales of the motion and th...
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Different approaches are discussed of variational principles characterizing coherent vortex structures in two-dimensional flows. Turbulent flows seem to form ordered structures in the large scales of the motion and the self-organization principle predicts asymptotic states realizing an extremal value of the energy or a minimum of enstrophy. On the other hand the small scales take care of the increase of entropy, and asymptotic results can be obtained by appl.ing the theory of equilibrium statistical mechanics.
The objective of this paper is to study by means of dynamic programming the optimal control of nonlinear continuous systems. We appl. to these systems a development of block pulse for the state and a nonuniform discre...
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The objective of this paper is to study by means of dynamic programming the optimal control of nonlinear continuous systems. We appl. to these systems a development of block pulse for the state and a nonuniform discretisation of the state space. As a particular case of a nonlinear system, we analysed a continuous dual control problem, and we carried out an implementation of a stochastic control policy on a real process, a DC motor.
The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.
The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.
The existing various couple stress theories have been carefully restudied. The purpose is to propose a coupled Noether's theorem and to reestablish rather complete conservation laws and balance equations for coupl...
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The existing various couple stress theories have been carefully restudied. The purpose is to propose a coupled Noether's theorem and to reestablish rather complete conservation laws and balance equations for couple stress elastodynamics. The new concrete forms of various conservation laws of couple stress elasticity were derived. The precise nature of these conservation laws which resulted from the given invariance requirements were established. Various special cases are reduced and the results of micropolar continua may be naturally transited from the results presented in this paper.
A factorization of the covariance operator (I+R) is derived for the observation process of a 2-parameter random field. This result can be appl.ed to express the determinant term appearing in L.A. Shepp's (1966) ex...
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A factorization of the covariance operator (I+R) is derived for the observation process of a 2-parameter random field. This result can be appl.ed to express the determinant term appearing in L.A. Shepp's (1966) expression for the likelihood ratio in terms of the system parameters. This means that, in practice, one of the problems in computing the likelihood ratio for random fields is solved. Extensions to the multiparameter case are straightforward. The expression of the determinant of (I+R) in terms of the system parameters may also be used to reexpress the Wong-Zakai correction term (1977).< >
The author extends the results in [5] to the general p(v). For arbitrary large initial data, the global smooth solution of the initial value problem is proved to be uniformly (namely, independent of time t) away from ...
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The author extends the results in [5] to the general p(v). For arbitrary large initial data, the global smooth solution of the initial value problem is proved to be uniformly (namely, independent of time t) away from vacuum provided that the initial data are away from vacuum.
Boundary layer flow due to rotational oscillations of an axisymmetric body in the presence of a constant magnetic field is analysed by a process of successive approximations. The induced steady flow is confined only t...
Boundary layer flow due to rotational oscillations of an axisymmetric body in the presence of a constant magnetic field is analysed by a process of successive approximations. The induced steady flow is confined only to the meridian place. The effect of the magnetic field is to decrease this steady flow.
The regularity for a class of X-elliptic equations with lower order termLu＋vu=-∑i,j=1 mXj^＊（aij（x）Xiu）＋vu=μis studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in...
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The regularity for a class of X-elliptic equations with lower order term
Lu＋vu=-∑i,j=1 mXj^＊（aij（x）Xiu）＋vu=μ
is studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in certain Morrey type space and μ a nonnegative Radon measure. The HSlder continuity of the solution is proved when μ satisfies suitable growth condition, and a converse result on the estimate of μ is obtained when u is in certain HSlder class.
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