Japan Journal of Applied Mathematics 

About: Japan Journal of Applied Mathematics is an academic journal. The journal publishes majorly in the area(s): Finite element method & Nonlinear system. Over the lifetime, 153 publications have been published receiving 5280 citations.

PEERS: A new mixed finite element for plane elasticity

Abstract: A mixed finite element procedure for plane elasticity is introduced and analyzed. The symmetry of the stress tensor is enforced through the introduction of a Lagrange multiplier. An additional Lagrange multiplier is introduced to simplify the linear algebraic system. Applications are made to incompressible elastic problems and to plasticity problems.

A harmonic calculus on the Sierpinski spaces

Abstract: A reconstruction of the well-known theory of calculus on [0, 1] will naturally bring a calculus associated with the harmonic functions, Laplace operator, Gauss-Green’s formula and so on, on theN-Sierpinski space whose Hausdorff dimension is (logN)/(log 2).

On the structure of self-similar sets

Abstract: We shall investigate topological properties of a uniquely determined compact setK such thatK = Σ λ ∈Λ f λ (K), where eachf λ is a weak contraction of a complete metric space andΛ = {1,2,...,m} orΛ =N. Such a setK is said to be self-similar. Many classical peculiar sets can be represented in this form. We shall also discuss the interesting problem presented by R. F. Williams.

Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

Abstract: This paper is concerned with the asymptotic behavior toward the rarefaction waves of the solution of a one-dimensional model system associated with compressible viscous gas If the initial data are suitably close to a constant state and their asymptotic values atx=±∞ are chosen so that the Riemann problem for the corresponding hyperbolic system admits the weak rarefaction waves, then the solution is proved to tend toward the rarefaction waves ast→+∞ The proof is given by an elementaryL 2 energy method

On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

Abstract: Travelling wave solutions with shock profile for a one-dimensional model system associated with compressible viscous gas are investigated in terms of asymptotic stability. The travelling wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small and of zero constant component. The proof is given by the elementalL 2 energy method.