SHUJI YOSHIKAWA

Last Updated :2025/05/09

Affiliations, Positions
Hiroshima University, Professor

Basic Information

Research Keywords

  • Nonlinear Partial Differential Equations

Affiliated Academic Societies

  • THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
  • THE JAPAN SOCIETY OF MECHANICAL ENGINEERS
  • The Mathematical Society of Japan
  • SIAM(Society for Industrial and Applied Mathematics)

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 4Term, Seminar in Basic Mathematics II
  2. 2025, Undergraduate Education, 2Term, Applied Mathematics III
  3. 2025, Undergraduate Education, 1Term, Engineering Mathematics A
  4. 2025, Graduate Education (Master's Program) , 2Term, Mathematics A

Research Activities

Academic Papers

  1. A transmission problem for wave equations in infinite waveguides, Applied Mathematics Letters, 109405-109405, 202411
  2. Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity, Discrete and Continuous Dynamical Systems, 44(8), 2280-2308, 202411
  3. Modelling for a new mechanical passive damper and its mathematical analysis, Mathematical Modelling and Analysis, 29(4), 600-620, 20241011
  4. Prediction of viscoelastic effective creep compliances in cracked cross-ply composite laminates, Mechanics of Materials, 105085-105085, 202407
  5. Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature, Mathematics and Computers in Simulation, 210, 147-168, 202308
  6. A new conservative finite difference scheme for 1D Cahn–Hilliard equation coupled with elasticity, Journal of Applied Analysis, 20220128
  7. Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions, Applied Numerical Mathematics, 171, 1-22, 202201
  8. A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition, Communications on Pure and Applied Analysis, 202111
  9. Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws, Journal of Mathematical Analysis and Applications, 498(1), 124929-124929, 202101
  10. Classification of asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients: Effective damping case, Journal of Differential Equations, 272(25), 938-957, 202101
  11. Error estimate for structure-preserving finite difference schemes of the one-dimensional Cahn-Hilliard system coupled with viscoelasticity, RIMS Kokyuroku Bessatsu, 82, 159-175, 202006
  12. Remarks on energy methods for structure-preserving finite difference schemes --small data global existence and unconditional error estimate--, Applied Mathematics and Computation, 341(15), 80-92, 201901
  13. Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative, Japan Journal of Industrial and Applied Mathematics, 35(3), 1213-1244, 201810
  14. Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient, APPLIED MATHEMATICS LETTERS, 76, 236-241, 201802
  15. Shape Memory Wires in R^3, Shape Memory Alloys - Fundamentals and Applications, 201709
  16. STRUCTURE-PRESERVING FINITE DIFFERENCE SCHEMES FOR THE CAHN HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITIONS IN THE ONE-DIMENSIONAL CASE, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 16(5), 1915-1938, 201709
  17. Energy method for structure-preserving finite difference schemes and some properties of difference quotient, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 311, 394-413, 201702
  18. An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys, IMA JOURNAL OF NUMERICAL ANALYSIS, 37(1), 477-504, 201701
  19. Decay estimates for the Cauchy problem for the damped extensible beam equation, APPLICABLE ANALYSIS, 95(5), 1118-1136, 201605
  20. A conservative finite difference scheme for the Falk model system of shape memory alloys, ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 95(12), 1393-1410, 201512
  21. Singular limits in the Cauchy problem for the damped extensible beam equation, JOURNAL OF DIFFERENTIAL EQUATIONS, 259(4), 1297-1322, 201508
  22. INVARIANT MEASURES FOR THE ISOTHERMAL FALK MODEL OF SHAPE MEMORY ALLOYS, GAKUTO International Series, Mathematical Sciences and Applications, 37, 163-182, 201504
  23. On the decay property of solutions to the Cauchy problem of the semilinear beam equation with weak damping for large initial data, NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 64, 507-514, 2015
  24. AN ERROR ESTIMATE OF CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THE BOUSSINESQ TYPE EQUATIONS, Advances in Mathematical Sciences and Applications, 23, 413-435, 201406
  25. On the initial value problem of the semilinear beam equation with weak damping I: Smoothing effect, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 401(1), 244-258, 201305
  26. Asymptotic profiles of solutions for the isothermal Falk-Konopka system of shape memory alloys with weak damping, Asymptotic Analysis, 82(3-4), 331-372, 2013
  27. On the initial value problem of the semilinear beam equation with weak damping II: Asymptotic profiles, JOURNAL OF DIFFERENTIAL EQUATIONS, 253(11), 3061-3080, 201212
  28. ASYMPTOTIC PROFILE OF SOLUTIONS FOR THE LIMIT UNSTABLE CAHN-HILLIARD EQUATION WITH INERTIAL TERM, DIFFERENTIAL AND INTEGRAL EQUATIONS, 25(3-4), 341-362, 201203
  29. STABILITY OF THE STEADY STATE FOR MULTI-DIMENSIONAL THERMOELASTIC SYSTEMS OF SHAPE MEMORY ALLOYS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 5(1), 209-217, 201202
  30. A QUASILINEAR THERMOVISCOELASTIC SYSTEM FOR SHAPE MEMORY ALLOYS WITH TEMPERATURE DEPENDENT SPECIFIC HEAT, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 8(3), 1093-1115, 200905
  31. Stability of the steady state for the Falk model system of shape memory alloys, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 30(17), 2233-2245, 200711
  32. Remarks on the energy class solution for the Falk model system of shape memory alloys, Nonlinear Dispersive Equations: GAKUTO International Series of Mathematical Sciences and Applications, 26, 227-237, 2007
  33. Global Solutions for Shape Memory Alloy Systems, Tohoku Mathematical Publications, 32, 1-105, 2007
  34. On thermoelastic systems arising in shape memory alloys, Advanced Studies in Pure Mathematics, 47(1), 383-396, 2007
  35. Quasi-linear thermoelasticity system arising in shape memory materials, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 38(6), 1733-1759, 2007
  36. Weak solutions for the Falk model system of shape memory alloys in energy class, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 28(12), 1423-1443, 200508
  37. One-dimensional shape memory alloy problem with small viscosity, Mathematical Approach to Nonlinear Phenomena: GAKUTO International Series of Mathematical Sciences and Applications, 23, 1-8, 2005
  38. Small energy global existence for a two-dimensional thermoelastic system of shape memory materials, Mathematical Approach to Nonlinear Phenomena: GAKUTO International Series of Mathematical Sciences and Applications, 23, 2005
  39. Unique global existence for a three-dimensional thermoelastic system of shape memory alloys, Advances in the Mathematical Sciences and Applications, 15, 603-627, 2005

External Funds

Acceptance Results of Competitive Funds

  1. 2024/04/01, 2028/03/31
    Permalink
  2. Grants-in-Aid for Scientific Research, Mathematical analysis for CFRP, 2020/04, 2024/03
    Permalink
  3. Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), 2020/04, 2024/03
    Permalink
  4. Grant for Basic Science Research Projects, Structure-preserving numerical methods for elasto-plasticity, 2018/11, 2021/11
  5. Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), 2016/04, 2020/03
    Permalink
  6. Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Mathematical Analysis for Thermoelasticity and Thermoelastoplasticity, 2013/04, 2017/03
    Permalink
  7. 2010/04, 2014/03
  8. 2009/11, 2011/05
  9. 2007/04, 2010/03
  10. 2007/04, 2008/03
  11. 2005/04, 2007/03