L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

Paul DEURING

72 publications paul-deuring

  1. $L^q$-weak solutions to the time-dependent 3D Oseen system: decay estimates (), In Math. Nachr., volume 296, . [url][hal-lmpa]
  2. Time-dependent incompressible viscous flows around a rigid body: estimates of spatial decay independent of boundary conditions (), In J. Differential Equations, volume 335, . [url] [doi][hal-lmpa]
  3. $L^p$-estimates of the Stokes resolvent with nonhomogeneous Dirichlet boundary conditions in 3D exterior domains (), In Math. Methods Appl. Sci., volume 44, . [url] [doi][hal]
  4. Spatial asymptotics of mild solutions to the time-dependent Oseen system (), In Commun. Pure Appl. Anal., volume 20, . [url] [doi][hal-lmpa]
  5. Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body (, and ), In Math. Nachr., volume 294, . [url] [doi][hal-lmpa]
  6. The 3D time-dependent Oseen system: link between $L^p$-integrability in time and pointwise decay in space of the velocity (), In J. Math. Fluid Mech., volume 23, . [url] [doi][hal]
  7. Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity (), In J. Math. Fluid Mech., volume 21, . [url] [doi][hal-lmpa]
  8. Stability of stationary viscous incompressible flow around a rigid body performing a translation (), In J. Math. Fluid Mech., volume 20, . [url] [doi][hal-lmpa]
  9. Oseen resolvent estimates with small resolvent parameter (), In J. Differential Equations, volume 265, . [url] [doi][hal-lmpa]
  10. $L^2$-stability of a finite element–finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions ( and ), In ESAIM Math. Model. Numer. Anal., volume 51, . [url] [doi][hal]
  11. A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ( and ), In Discrete Contin. Dyn. Syst., volume 37, . [url] [doi]
  12. Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( and ), In Z. Angew. Math. Phys., volume 68, . [url] [doi]
  13. A finite element–finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates (), In Numer. Methods Partial Differential Equations, volume 32, . [url] [doi]
  14. Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body (, and ), In C. R. Math. Acad. Sci. Paris, volume 354, . [url] [doi]
  15. Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ( and ), In Arch. Ration. Mech. Anal., volume 221, . [url] [doi]
  16. Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies (, , and ), In J. Elliptic Parabol. Equ., volume 1, . [url] [doi]
  17. Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains (), In J. Math. Fluid Mech., volume 17, . [url] [doi]
  18. $L^2$-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation (, and ), In SIAM J. Numer. Anal., volume 53, . [url] [doi][hal]
  19. Linearized stationary incompressible flow around rotating and translating bodies—Leray solutions (, and ), In Discrete Contin. Dyn. Syst. Ser. S, volume 7, . [url] [doi]
  20. A representation formula for the velocity part of 3D time-dependent Oseen flows (), In J. Math. Fluid Mech., volume 16, . [url] [doi]
  21. The Cauchy problem for the homogeneous time-dependent Oseen system in $\Bbb R^3$: spatial decay of the velocity (), In Math. Bohem., volume 138, .
  22. Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity (, and ), In J. Differential Equations, volume 255, . [url] [doi]
  23. Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity (), In SIAM J. Math. Anal., volume 45, . [url] [doi]
  24. Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support (), In Discrete Contin. Dyn. Syst., volume 33, . [url] [doi]
  25. Stability of a combined finite element-finite volume discretization of convection-diffusion equations ( and ), In Numer. Methods Partial Differential Equations, volume 28, . [url] [doi]
  26. Linearized stationary incompressible flow around rotating and translating bodies: asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity (, and ), In J. Differential Equations, volume 252, . [url] [doi]
  27. A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: improved decay estimates of the velocity and its gradient (, and ), In Discrete Contin. Dyn. Syst., .
  28. On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies (, and ), In SIAM J. Math. Anal., volume 43, . [url] [doi]
  29. Error estimates for a finite element–finite volume discretization of convection-diffusion equations ( and ), In Appl. Numer. Math., volume 61, . [url] [doi]
  30. On Oseen resolvent estimates ( and ), In Differential Integral Equations, volume 23, .
  31. A potential-theoretic approach to the time-dependent Oseen system (), Chapter in Advances in mathematical fluid mechanics, Springer, Berlin, . [url] [doi]
  32. An eigenvalue criterion for stability of a steady Navier-Stokes flow in $\Bbb R^3$ (), In J. Math. Fluid Mech., volume 12, . [url] [doi]
  33. A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies (, and ), In Discrete Contin. Dyn. Syst. Ser. S, volume 3, . [url] [doi]
  34. Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity (), In Numer. Math., volume 114, . [url] [doi]
  35. Spatial decay of time-dependent Oseen flows (), In SIAM J. Math. Anal., volume 41, . [url] [doi]
  36. Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations (), In J. Comput. Appl. Math., volume 228, . [url] [doi]
  37. On boundary-driven time-dependent Oseen flows (), Chapter in Parabolic and Navier-Stokes equations. Part 1, Polish Acad. Sci. Inst. Math., Warsaw, volume 81, . [url] [doi]
  38. Resolvent estimates for a perturbed Oseen problem (), Chapter in Functional analysis and evolution equations, Birkhäuser, Basel, . [url] [doi]
  39. A finite element method for 3D exterior Oseen flows: error estimates (), In SIAM J. Numer. Anal., volume 45, . [url] [doi]
  40. Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows (), In J. Comput. Appl. Math., volume 205, . [url] [doi]
  41. Stability of a finite element method for 3D exterior stationary Navier-Stokes flows (), In Appl. Math., volume 52, . [url] [doi]
  42. A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations (, and ), In Numer. Methods Partial Differential Equations, volume 22, . [url] [doi]
  43. On volume potentials related to the time-dependent Oseen system (), In WSEAS Trans. Math., volume 5, .
  44. Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behaviour of the velocity and its gradient (), In IASME Trans., volume 2, .
  45. Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behavior of the second derivatives of the velocity (), In Comm. Partial Differential Equations, volume 30, . [url] [doi]
  46. Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains ( and ), In Math. Nachr., volume 269/270, . [url] [doi]
  47. Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries (), Chapter in Elliptic and parabolic problems (Rolduc/Gaeta, 2001), World Sci. Publ., River Edge, NJ, . [url] [doi]
  48. On $H^2$-estimates of solutions to the Stokes system with an artificial boundary condition (), In J. Math. Fluid Mech., volume 4, . [url] [doi]
  49. The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces (), In Adv. Differential Equations, volume 6, .
  50. Calculating Stokes flows around a sphere: comparison of artificial boundary conditions (), Chapter in , volume 46, , Navier-Stokes equations and related nonlinear problems (Ferrara, 1999).
  51. On the asymptotic behavior of physically reasonable solutions to the stationary Navier-Stokes system in three-dimensional exterior domains with zero velocity at infinity ( and ), In J. Math. Fluid Mech., volume 2, . [url] [doi]
  52. Artificial boundary conditions for the Oseen system in 3D exterior domains ( and ), In Analysis (Munich), volume 20, . [url] [doi]
  53. A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells (, and ), In Z. Anal. Anwendungen, volume 18, . [url] [doi]
  54. The 3D Stokes systems in domains with conical boundary points (), Chapter in Theory of the Navier-Stokes equations, World Sci. Publ., River Edge, NJ, volume 47, . [url] [doi]
  55. $L^p$-theory for the Stokes system in 3D domains with conical boundary points (), In Indiana Univ. Math. J., volume 47, . [url] [doi]
  56. A stable mixed finite element method on truncated exterior domains (), In RAIRO Modél. Math. Anal. Numér., volume 32, . [url] [doi]
  57. Finite element methods for the Stokes system in three-dimensional exterior domains (), In Math. Methods Appl. Sci., volume 20, . [url] [doi]
  58. The Stokes system in $3$D-Lipschitz domains: a survey of recent results (), Chapter in Progress in partial differential equations: the Metz surveys, 4, Longman, Harlow, volume 345, .
  59. Strong solutions of the Navier-Stokes system in Lipschitz bounded domains ( and ), In Math. Nachr., volume 171, . [url] [doi]
  60. The Stokes system in an infinite cone (), Akademie-Verlag, Berlin, volume 78, .
  61. Schauder estimates for the single layer potential in hydrodynamics ( and ), In Math. Nachr., volume 157, . [url] [doi]
  62. On strong solutions of Poisson's equation in Beppo Levi spaces ( and ), In Z. Angew. Math. Phys., volume 43, . [url] [doi]
  63. The resolvent problem for the Stokes system in exterior domains: uniqueness and nonregularity in Hölder spaces (), In Proc. Roy. Soc. Edinburgh Sect. A, volume 122, . [url] [doi]
  64. The Stokes-system in exterior domains: existence, uniqueness, and regularity of solutions in $L^p$-spaces (), In Comm. Partial Differential Equations, volume 16, . [url] [doi]
  65. Addendum: "An integral operator related to the Stokes system in exterior domains" [Math. Methods Appl. Sci. \bf 13 (1990), no. 4, 323–333; MR1074094 (91i:35151)] (), In Math. Methods Appl. Sci., volume 14, . [url] [doi]
  66. The Stokes-system in exterior domains: $L^p$-estimates for small values of a resolvent parameter (), In Z. Angew. Math. Phys., volume 41, . [url] [doi]
  67. The resolvent problem for the Stokes system in exterior domains: an elementary approach (), In Math. Methods Appl. Sci., volume 13, . [url] [doi]
  68. An integral operator related to the Stokes system in exterior domains (), In Math. Methods Appl. Sci., volume 13, . [url] [doi]
  69. A quasilinear parabolic initial-value problem with conormal boundary conditions (), In Boll. Un. Mat. Ital. B (7), volume 3, .
  70. Das lineare Stokes-System in ${\bf R}^3$. II. Das Auß enraumproblem ( and ), In Bayreuth. Math. Schr., .
  71. Das lineare Stokes-System in ${\bf R}^3$. I. Vorlesungen über das Innenraumproblem (, and ), In Bayreuth. Math. Schr., .
  72. An initial-boundary value problem for a certain density-dependent diffusion system (), In Math. Z., volume 194, . [url] [doi]

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