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Boundary and internal conditions for adjoint fluid-flow problems
(SPRINGER, 2009)
The ever-increasing robustness and reliability of flow-simulation methods have consolidated CFD as a major tool in virtually all branches of fluid mechanics. Traditionally, those methods have played a crucial role in the ...
Nonlinear self-adjointness of a 2D generalized second order evolution equation
(Pergamon-elsevier Science LtdOxfordInglaterra, 2012)
CONSTRUCTING QUANTUM OBSERVABLES AND SELF-ADJOINT EXTENSIONS OF SYMMETRIC OPERATORS. III. SELF-ADJOINT BOUNDARY CONDITIONS
(SPRINGER, 2008)
This paper completes the review of the theory of self-adjoint extensions of symmetric operators for physicists as a basis for constructing quantum-mechanical observables. It contains a comparative presentation of the ...
Nonlinear Self-Adjointness and Conservation Laws for the Hyperbolic Geometric Flow Equation
(Taylor & Francis LtdAbingdonInglaterra, 2013)
Self-adjoint extensions and spectral analysis in the Calogero problem
(IOP PUBLISHING LTD, 2010)
In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential alpha x(-2). Although the problem is quite old and well studied, we believe ...
Adjoint method for a tumor invasion PDE-constrained optimization problem in 2D using adaptive finite element method
(Elsevier Science Inc, 2015-11)
In this paper we present a method for estimating an unknown parameter that appears in a two dimensional non-linear reaction-diffusion model of cancer invasion. This model considers that tumor-induced alteration of ...