Blind deconvolution of the aortic pressure waveform using the Malliavin calculus.
Bloch waves for a solid-fluid mixture
Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall
We present the fiber-spring elastic model of the arterial wall with atherosclerotic plaque composed of a lipid pool and a fibrous cap. This model allows us to reproduce pressure to cross-sectional area relationship along the diseased vessel which is used in the network model of global blood circulation. Atherosclerosis attacks a region of systemic arterial network. Our approach allows us to examine the impact of the diseased region onto global haemodynamics....
Blow-up in a modified Constantin-Lax-Majda model for the vorticity equation.
Boltzmann Asymptotics with Diffuse Reflection Boundary Conditions.
Boundary behavior of capillary surfaces possibly with extremal boundary angles.
Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
Non reflecting boundary conditions on artificial frontiers of the domain are proposed for both incompressible and compressible Navier-Stokes equations. For incompressible flows, the boundary conditions lead to a well-posed problem, convey properly the vortices without any reflections on the artificial limits and allow to compute turbulent flows at high Reynolds numbers. For compressible flows, the boundary conditions convey properly the vortices without any reflections on the artificial limits...
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting artery is not completely occluded, for which the worst-case in terms of recirculation effects is inferred to correspond to a strong orifice flow through near-complete occlusion.A worst-case optimal control approach is applied to the steady Navier-Stokes...
Boundary element method for internal axisymmetric flow.
Boundary integral equations and modified Green's functions
Boundary layer for Chaffee-Infante type equation
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
Boundary layer formation in the transition from the porous media equation to a Hele–Shaw flow
Boundary layer with suction on flat plate
Boundary layers and time oscillations in rotating fluids
Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits.
Boundary mathematical problems in viscous liquid three-dimensional flows.
Boundary partial regularity for the Navier-Stokes equations.
Boundary value problems for the ellipsoidal statistical equation.
Boundary value problems for the stationary Vlasov-Maxwell system.