摘要:

AbstractThis paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analysis method. The method was devised by Jeffrey and Xu. Each of these methods is capable of solving the combined KdV and mKdV equation exactly.

ISSN:0170-4214    

DOI:10.1002/mma.1670150202

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThis note is a case study of a general SU(2) gauge vortex model where the two Higgs multiplets are in the adjoint representation of the gauge group and the Higgs potential energy density contains cross interaction terms The vacuum decay of finite‐energy solutions is proved and the existence of a non‐trivial solution is established. Moreover, for a special choice of the parameter region, the occurrence of a non‐linear desingularization phenomenon is obs

ISSN:0170-4214    

DOI:10.1002/mma.1670150203

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractIn the present paper we use a time delay ϵ>0 for an energy conserving approximation of the non‐linear term of the non‐stationary Navier–Stokes equations. We prove that the corresponding initial‐value problem (Nϵ) in smoothly bounded domainsG⊆ ℝ3is well‐posed. We study a semidiscretized difference scheme for (Nϵ) and prove convergence to optimal order in the Sobolev spaceH2(G). Passing to the limit ϵ→0 we show that the sequence of stabilized solutions has an accumulation point such that it solves the Navier–Stokes problem (No) i

ISSN:0170-4214    

DOI:10.1002/mma.1670150204

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractAn estimate of the rate of convergence is given for the domain decomposition method for the second‐order parabolic transmission problem. A brief discussion of the method and some of its applications are presente

ISSN:0170-4214    

DOI:10.1002/mma.1670150205

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractIn this paper we obtain necessary and sufficient conditions for the validity of the estimateThe constant c does not depend onu.uis a vector field with values in ℝ3. It is defined on a bounded set G of ℝ3or an unbounded one, denoted by Ĝ. The boundary conditions are as follows: either the normal component ofuvanishes or the tangential one does. Our conditions are expressed in terms of the Betti numbers of G

ISSN:0170-4214    

DOI:10.1002/mma.1670150206

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0170-4214    

DOI:10.1002/mma.1670150201

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY