Publications List of Harumi Hattori

 


 

1. Breakdown of smooth solutions to the dissipative nonlinear hyperbolic equations

    Quarterly of Applied Mathematics, 40 (1982), 113-127.

2. The partial differential equation $u_t+f(u_x)_x=-cu$

    The Proceedings of American Mathematical Society, 86 (1982), 395-401.

3. The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion
     - isothermal case

    Archives for Rational Mechanics and Analysis, 92 (1986), 247-263.

4. On the properties of entropy rate in the entropy rate admissibility criterion

    Quarterly of Applied Mathematics, 43 (1985), 305-315.

5. The Riemann problem for a van der Waals fluid

    Lectures in Applied Mathematics, 23 (1986), AMS.

6. The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion -
    nonisothermal case

    Journal of Differential Equations, 65 (1986), 158-174.

7. The entropy rate admissibility criterion and the double phase boundary

    Contemporary Mathematics, 60 (1986), AMS.

8. (With K. Mischaikow), On the existence of intermediate magnetohydrodynamic shock wave

     Journal of Dynamics and Differential Equations, 2 (1990), 163-175.

9. An inviscid approach to a phase transition problem

    79-89, in Adiabatic Waves in Liquid-Vapor Systems,
    (G.E.A. Meier and P.A. Thompson Eds.), IUTAM Symposium Gottingen,
    Springer-Verlag, Berlin Heiderberg 1990.

10. (With J. Lightbourne) Global existence and blowup for a semilinear integral equation

    Journal of Integral Equations and Applications, 2 (1990), 529-546.

11. (With K. Mischaikow), An application of connection matrix to magnetohydrodynamic
      shock profiles

    169-172, in Multidimensional Hyperbolic Problems and Computations
     (J. Glimm and A.J. Majda Eds.), IMA Volumes in Mathematics and its Applications
     Vo.29, Springer-Verlag, New York 1991.

12. (With K. Mischaikow), A dynamical systems approach to a phase transition problem

     J. Diff. Eqns. 94 (1991), 340-378.

13. (With K. Mischaikow) On the slow motions of phase boundaries in the Korteweg
      theory of capillarity

     Dynamic Systems and Applications 1 (1992), 441-452.

14. (With K. Mischaikow) On a global dynamics of a phase transition problem

      Free boundary problems involving solids (J.H. Chadam and H. Rasmussen eds.), 226-231.

15. (With K. Mischaikow) A phase transition problem-A dynamical systems approach

     Viscous profiles and numerical methods for shock waves (M. Shearer ed.), 73-78.

16. (With H. Fujimoto) On dynamical aspects of a phase transition problem

     (Transactions of the ninth army conference on applied mathematics and computing), 427-435.

17. The Korteweg theory of capillarity and the phase transition problems

     Transactions of the tenth army conference on applied mathematics and computing, 131-142.

18. (With D. Li) Solutions for two dimensional system for materials of Korteweg type

     SIAM J. on Mathematical Analysis, 25 (1994), 85-98.

19. Nonlinear Stability of Rarefaction Waves for a Viscoelastic Material with Memory

     Transactions of American Mathematical Society, 342 (1994), 645-669.

20. Stability of Rarefaction Waves for a Viscoelasticity

     Journal of Differential Equations 111 (1994), 1-26.

21. (With D. Li) A System for Materials of Korteweg Type in Two Space Variables

     Transactions of the Eleventh Army Conference on Applied Mathematics and Computing
     1994.

22. (With S. Kawashima) Existence of shock profiles for materials with memory

     SIAM J. on Mathematical Analysis 26 (1995), 1130-1142.

23. Stability of Steady State Solutions for a Hydrodynamic Model for Semiconductors

     in Smart Structures and Materials 1995: Mathematics and Control in Smart Structures,
     Vasundara V. Varadan, Editor, Proc. SPIE 2442, 493-502 (1995).

24. (With D. Li) Global solutions of high dimensional system for Korteweg materials

     Mathematical Analysis and Applications 198 (1996), 84-97.

25. (With S. Kawashima) Nonlinear stability of travelling wave solutions for viscoelastic
      materials with memory

     Journal of Differential Equations 127 (1996), 174-196.

26. (With D. Li) The Existence of Global Solutions to a Fluid Dynamic Model for Materials
     of Korteweg Type

     Journal of Partial Differential Equations 9 (1996), 323-342.

27. (With S. Kawashima) Smooth Shock Profiles in Viscoelasticity with Memory

     Studies in Advanced Mathematics 3 (1997), 271-281.

28. Stability and Instability of Steady State Solutions for a Hydrodynamic Model for
      Semiconductors

     Proceedings of Royal Society of Edinburgh, 127A (1997), 781-796.

29. (With C. Zhu) Asymptotic Behavior of the Solution to a Nonisentropic Hydrodynamic
     Model of Semiconductors

     Journal of Differential Equations 144 (1998), 353-389.

30. The Riemann Problem and the Existence of Weak Solutions to a System of Mixed-Type
      in Dynamic Phase Transition

     Journal of Differential Equations 146 (1998), 287-319.

31. Breakdown of Smooth Solutions in One-dimensional Magnetostriction

     Quarterly of Applied Mathematics 58 (2000), 1-16.

32. The Entropy Rate Admissibility Criterion and the Entropy Condition for a Phase
      Transition Problem

     SIAM Journal on Mathematical Analysis 31 (2000), 791-820.

33. (With C. Zhu) Stability of Steady State Solutions for a Hydrodynamic Model for
      Semiconductors of Two Carrier Type

      Journal of Differential Equations 166 (2000), 1-32.

34. The Entropy Rate Admissibility Criterion for a Phase Transition Problem, 

      International Series of Numerical Mathematics 141 (2001),505-513.

35. H. Hattori, The Existence and Asymptotic Behavior of Solutions to a System for a Phase
      Transition Problem, 

      SIAM Journal on Mathematical Analysis 34 (2003), 774-804.

36. H. Hattori, The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials, in  
      Hyperbolic Problems: Theory, Numerics, Applications. 

      Proceedings for 9th International Conference on Hyperbolic Systems, Eds T.Y. Hou and 
      E. Tadmor (2003), 589-598.

37. H. Hattori, The Riemann Problem for Thermoelastic Materials with Phase Change, 

      Journal of Differential Equations 205 (2004), 229-252.

38. H. Hattori, Asymptotic Behavior of Solutions to a System of Viscous Conservation Laws Related
     to a Phase Transition Problem, 

     Journal of Mathematical Analysis and Applications 334 (2007), 656-685.

39. H. Hattori, Existence of Solutions with Moving Phase Boundaries in Thermoelasticity, 

      Journal of Hyperbolic Differential Equations 5 (2008), 589-611.

40. H. Hattori, Viscous Conservation Laws with Discontinuous Initial Data, 

      Proceedings of Symposia in Applied Mathematics 67 (2009), 635-642.

41. C. Chen and H. Hattori, L^{1}  well posedness of Euler equations with dynamic phase change, 

      Journal of Mathematical Analysis and Applications. 374 (2011), 133-153.



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Hoifung Poon
Sun Feb 06 21:02:06 EST 2000