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1.
We provide a correction to the Stefan-Boltzmann law and discuss the problem of a phase transition from the superfluid state into the normal state. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 1, pp. 207–208, January, 2008.  相似文献   

2.
    
In this paper, we consider a class of non-Newtonian fluids in one-dimensional bounded interval. The global existence and uniqueness of solution are investigated.  相似文献   

3.
We consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In this first paper we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions.  相似文献   

4.
本文给出关于边值问题解的某存在唯一性定理及其应用.  相似文献   

5.
In this paper by using anL estimate for elliptic equations, we study the well-posedness of the stationary semiconductor equations arising from modeling a nondestructive testing technique LBIC. It is shown that when the extra source term is small, the system has a unique weak solution, and the solution is continuously dependent on this source term. The validity of an approximate model derived for the study of the inverse problem is established. The existence result is then extended to the case of constant mobilities without the assumption on the size of the source term.Parts of this work were completed while the authors were members of the Center for Applied Mathematical Sciences at the University of Southern California, and was supported by Air Force Office of Scientific Research Grant AFOSR-90-0091.  相似文献   

6.
冯春华 《数学研究》1997,30(4):401-405
利用矩阵测度的性质,通过对线性系统解的估计形式,得到了关于一类非自治系统周期解的存在唯一性定理.  相似文献   

7.
In this paper we consider positive boundary blow-up solutions to the problem Δu=uq(x)Δu=uq(x) in a smooth bounded domain Ω⊂RnΩRn. The exponent q(x)q(x) is allowed to be a variable positive Hölder continuous function. The issues of existence, asymptotic behavior near the boundary and uniqueness of positive solutions are considered. Furthermore, since q(x)q(x) is also allowed to take values less than one, it is shown that the blow up of solutions on ∂Ω is compatible with the occurrence of dead cores, i.e., nonempty interior regions where solutions vanish.  相似文献   

8.
In this paper, we consider the linearly viscoelastic equations for Koiter shells. The existence and uniqueness of the solution are proved by Galerkin method.  相似文献   

9.
In this paper, we prove the existence and non-existence of solutions to two impulsive fractional differential equations with strong or weak Caputo derivatives in Euclidean space, respectively.  相似文献   

10.
这篇文章主要考虑下列以有限Radon测度为初值的非线性双曲方程的Cauchy问题u_t+(u~m)_x=u~p,其中m1,1pm是给定常数.特别的,在文中得到了上述问题BV解的存在唯一性.  相似文献   

11.
    
In this paper, we consider a four-waves coupled system which describes the interaction between particles. Based on the uniform bound and strong convergence property in lower order norm, local existence and uniqueness of smooth solution is established by a limiting argument. Moreover, we show the solution exists globally in two dimensional case under certain condition on the size for $L^2$ norm of the initial data.  相似文献   

12.
本文讨论了下列拟线性退化双曲方程ut (?)(u)x=0,以σ-有限的Borel测度为初值条件的Cauchy问题解的存在唯一性,其中在R上是连续的非减的函数.  相似文献   

13.
本文研究Heisenberg自旋链系统的非齐次初边值问题光滑解的存在性与唯一性.运用有限差分法与精细的先验估计,对具有Gilbert阻尼的Heisenberg自旋链系统进行了研究.  相似文献   

14.
In this paper we consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open arc and a bounded domain in R2 as cross section. To this end, we solve a scattering problem for the Helmholtz equation in R2 where the scattering object is a combination of a crack Γ and a bounded obstacle D, and we have Dirichlet-impedance type boundary condition on Γ and Dirichlet boundary condition on ∂D (∂DC2). Applying potential theory, the problem can be reformulated as a boundary integral system. We establish the existence and uniqueness of a solution to the system by using the Fredholm theory.  相似文献   

15.
    
This work is devoted to proving the existence of the iterative solution to a fourth order boundary value problem. By the use of a novel efficient method for nonlinear fourth order boundary value problem, the existence and uniqueness of solution for the problem is obtained. The monotony of iterations is also considered. Some examples are presented to illustrate the main results.  相似文献   

16.
  总被引:1,自引:1,他引:0  
The authors prove two global existence results of strong solutions of the isentropic compressible Navier-Stokes-Poisson equations in one-dimensional bounded intervals. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition. In this paper the initial vacuum is allowed, and T is bounded.  相似文献   

17.
Qiang Liu  Li Xia 《Applicable analysis》2013,92(16):2830-2842
In this paper, we prove the existence and uniqueness of weak solutions for a singular evolutionary system, which is deduced from a model for image decomposition combining staircase reduction and texture extraction. The main method we used is p-Laplace regularization. The numerical experimental result shows the efficiency of this kind of model.  相似文献   

18.
本文在系数为非Lipschitz条件下(Lipschitz和线性增长作为其特例),通过构造逐次逼近列的方法证明了随机波动方程适度解的存在唯一性.  相似文献   

19.
运用Hadmard反函数定理讨论了一类满足渐近非一致性条件的常微分方程组解的存在唯一性,推广了已有结果.  相似文献   

20.
The aim of this paper is to investigate the existence and uniqueness of solutions for nonlinear fractional q-difference equations with three-point boundary conditions. Our approach relies on a new fixed point theorem of increasing ψ?(h,r)?concave operators defined on ordered sets. Further, we can construct a monotone explicit iterative scheme to approximate the unique solution. Finally, the main results are illustrated with the aid of two interesting examples.  相似文献   

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