Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]
, 2011 In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
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Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator [PDF]
, 2020 Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p-Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results ...
Bonanno G., Livrea R., D'Agui G.
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Extended general variational inequalities [PDF]
, 2009 In this work, we introduce and consider a new class of general variational inequalities involving three nonlinear operators, which is called the extended general variational inequalities. Noor [M.
Noor, Muhammad Aslam +1 more
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Iterative methods for solving variational inclusions in Banach spaces [PDF]
, 2007 In this paper, we consider a system of nonlinear variational inclusions involving H-accretive operators studied by Huang and Fang in q-uniformly smooth Banach spaces.
Xin-Feng He +5 more
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Energy-Minimizing Microstructures in Multiphase Elastic Solids [PDF]
, 2004 This thesis concerns problems of microstructure and its macroscopic consequences in multiphase elastic solids, both single crystals and polycrystals. The elastic energy of a two-phase solid is a function of its microstructure.
Chenchiah, Isaac Vikram
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Variational characterization for eigenvalues of Dirac operators [PDF]
, 2000 In this paper we give two different variational characterizations for the eigenvalues of H+V where H denotes the free Dirac operator and V is a scalar potential. The first one is a min-max involving a Rayleigh quotient.
Dolbeault, Jean +2 more
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Normalized Solutions for an Anisotropic Nonlinear Schrödinger Equation with Potentials
Fractal and FractionalIn this paper, we study the existence of normalized solutions for anisotropic nonlinear Schrödinger equation with potentials which are bounded and converge to positive constants at infinity.
Canlin Gan, Weiwei Wang
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Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces [PDF]
, 2011 We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another ...
Wang Yaqin +3 more
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Existence results for Robin problems involving p(x)-Laplacian-like operators with convection term
Demonstratio MathematicaThis paper studies the existence of solutions for Robin problems involving p(x)-Laplacian-like operators which arise from capillarity phenomena. When we only consider the convective term, due to the lack of a variational structure, the well-known ...
Zhang Zhenfeng +4 more
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