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Baroclinic Kelvin Waves in a Rotating Circular Basin

R. N. Ibragimov (2012)

Mathematical Modelling of Natural Phenomena

A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover,...

Bellman approach to some problems in harmonic analysis

Alexander Volberg (2001/2002)

Séminaire Équations aux dérivées partielles

The stochastic optimal control uses the differential equation of Bellman and its solution - the Bellman function. Recently the Bellman function proved to be an efficient tool for solving some (sometimes old) problems in harmonic analysis.

Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

Jian Zhang, Chiping Zhang, Yunan Cui (2017)

Open Mathematics

In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities....

Bilevel Approach of a Decomposed Topology Optimization Problem

A. Makrizi, B. Radi (2010)

Mathematical Modelling of Natural Phenomena

In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that the domain decomposition method occurs naturally. Consider a typical topology optimization problem, the minimum compliance problem of a linear isotropic elastic continuum structure, in which the constraints are the partial differential equations of linear elasticity. We subdivide the partial differential equations into two subproblems posed...

Bilinear estimates related to the KP equations

Nikolay Tzvetkov (2000)

Journées équations aux dérivées partielles

We survey some recent results for the KP-II equation. We also give an idea for treating the “bad frequency interactions” of the bilinear estimates in the Fourier transform restriction spaces related to the KP-I equation.

Bilinear virial identities and applications

Fabrice Planchon, Luis Vega (2009)

Annales scientifiques de l'École Normale Supérieure

We prove bilinear virial identities for the nonlinear Schrödinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.

Bipolar Barotropic Non-Newtonian Compressible Fluids

Šárka Matušu-Nečasová, Mária Medviďová-Lukáčová (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We are interested in a barotropic motion of the non-Newtonian bipolar fluids . We consider a special case where the stress tensor is expressed in the form of potentials depending on eii and ( ∂ e i j ∂ x k ) . We prove the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.

Bipolar barotropic nonnewtonian fluid

Šárka Matušů-Nečasová, Mária Medviďová (1994)

Commentationes Mathematicae Universitatis Carolinae

The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on e i j and ( ∂ e i j ∂ x k ) . For this case, we prove the existence and uniqueness of weak solution.

Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall

Yu. Vassilevski, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova (2011)

Mathematical Modelling of Natural Phenomena

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....

Currently displaying 481 – 500 of 3659