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Displaying 641 – 660 of 3659

Consistent algorithms marching along characteristics for the numerical solution of the Boltzmann equation.

Roberty, Nilson C., Nunes, Rogerio C. (2011)

Journal of Applied Mathematics

Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis

Bohumír Bastl, Marek Brandner, Kristýna Slabá, Eva Turnerová (2022)

Applications of Mathematics

In this paper, we propose a new stabilization technique for numerical simulation of incompressible turbulent flow by solving Reynolds-averaged Navier-Stokes equations closed by the SST $k$ - $ω$ turbulence model. The stabilization scheme is constructed such that it is consistent in the sense used in the finite element method, artificial diffusion is added only in the direction of convection and it is based on a purely nonlinear approach. We present numerical results obtained by our in-house incompressible...

Constructing soliton and kink solutions of PDE models in transport and biology.

Vladimirov, Vsevolod A., Kutafina, Ekaterina V., Pudelko, Anna (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Construction BKW pour l'opérateur de Dirac. Cas d'un potentiel périodique

Abderemane Mohamed, Bernard Parisse (1999)

Annales de l'I.H.P. Physique théorique

Construction de solutions pour les équations de Korteweg-de Vries généralisées

Raphaël Côte (2006/2007)

Séminaire Équations aux dérivées partielles

Construction of Approximative and Almost Periodic Solutions of Perturbed Linear Schrödinger and Wave Equations.

J. Bourgain (1996)

Geometric and functional analysis

Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity

Jean Bourgain, W. Wang (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Continuity of the Darcy's law in the low-volume fraction limit

Grégoire Allaire (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Continuous dependence and stability for non linear dispersive and dissipative waves

Salvatore Rionero (1982)

Rendiconti del Seminario Matematico della Università di Padova

Continuous dependence for the Brinkman equations of flow in double-diffusive convection.

Tu, Hongliang, Lin, Changhao (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Continuous dependence in $L^{2}$ for discontinuous solutions of the viscous $p$ -system

David Hoff, Roger Zarnowski (1994)

Annales de l'I.H.P. Analyse non linéaire

Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

Yuanfei Li, Shengzhong Xiao (2022)

Applications of Mathematics

In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.

Contributo allo studio dei fenomeni di trasporto della carica minoritaria in regioni quasi neutre di semiconduttori fortemente e disuniformemente drogati. Riduzione del problema ad equazioni integrali

Ercole De Castro (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Transport phenomena of minority carriers in quasi neutral regions of heavily doped semiconductors are considered for the case of one-dimensional stationary flow and their study is reduced to a Fredholm integral equation of the second kind, the kernel and the known term of which are built from known functions of the doping arbitrarily distributed in space. The advantage of the method consists, among other things, in having all the coefficients of the differential equations and of the boundary conditions...

Control for Schrödinger operators on 2-tori: rough potentials

Jean Bourgain, Nicolas Burq, Maciej Zworski (2013)

Journal of the European Mathematical Society

For the Schrödinger equation, $(i \partial_{t} + \nabla) u = 0$ on a torus, an arbitrary non-empty open set $Ω$ provides control and observability of the solution: $∥u {|_{t = 0}∥}_{L^{2} (𝕋^{2})} \leq K_{T} {∥u∥}_{L^{2} ([0, T] \times Ω)}$ . We show that the same result remains true for $(i \partial_{t} + \nabla - V) u = 0$ where $V \in L^{2} (𝕋^{2})$ , and $𝕋^{2}$ is a (rational or irrational) torus. That extends the results of [1], and [8] where the observability was proved for $V \in C (𝕋^{2})$ and conjectured for $V \in L^{\infty} (𝕋^{2})$ . The higher dimensional generalization remains open for $V \in L^{\infty} (𝕋^{n})$ .