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A parabolic free boundary problem modeling electrostatic MEMS
The evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is studied. The model describes the dynamics of... -
Dissipative interface coupling of conservation laws
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A phase-field approximation of the Willmore flow with volume and area constra...
The well-posedness of a phase-field approximation to the Willmore flow with area and volume constraints is established when the functional approximating the area has... -
Long-term stable acoustic absorbing boundary conditions for regular-shaped su...
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On finite and strong convergence of a proximal method for equilibrium problems
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Energy estimates for low regularity bilinear Schrödinger equations
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Well-posedness for a one-dimensional fluid-particle interaction model
The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503-3544] is the object of our study. This... -
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS
The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential... -
Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) ...
We prove that the Cauchy problem associated with the one dimensional quadratic (fractional) heat equation: $u_t=D_x^{2\alpha} u \mp u^2,\; t\in (0,T),\; x\in \R$ or $... -
Alzheimer's disease: analysis of a mathematical model incorporating the role ...
Correction of typo in the title (paper remains unchanged) -
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects
The dynamical and stationary behaviors of a fourth-order evolution equation with clamped boundary conditions and a singular nonlocal reaction term, which is coupled to... -
A free boundary problem modeling electrostatic MEMS: II. nonlinear bending ef...
Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into... -
Global Regularity for some Oldroyd-B type Models
We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension two. We use a transformation which exploits the Oldroyd-B structure to prove... -
Artificial boundaries and formulations for the incompressible Navier-Stokes e...
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Entropy conditions for scalar conservation laws with discontinuous flux revis...
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