Differential Equations - New Differential Equations Data Have Been Reported by P. Colli and Co-Authors
2013 MAY 21 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- Researchers detail new data in Differential Equations. According to news reporting originating in Berlin, Germany, by VerticalNews journalists, research stated, "Existence and uniqueness are investigated for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions. This system aims to model two-species phase segregation on an atomic lattice (Podio-Guidugli, 2006 [191); in the balance equations of microforces and microenergy, the two unknowns are the order parameter rho and the chemical potential mu. ...read more
Differential Equations - Pontifical Catholic University Reports Findings in Differential Equations
2013 MAY 21 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- Investigators publish new report on Differential Equations. According to news reporting from Rio de Janeiro, Brazil, by VerticalNews journalists, research stated, "We study the solvability in the whole Euclidean space of coercive quasi-linear and fully nonlinear elliptic equations modeled on triangle u +/- g(vertical bar del u vertical bar) = f(u), u>= 0 where f and g are increasing continuous functions. ...read more
Differential Equations - New Findings from University of London Imperial College in Differential Equations Provides New Insights
2013 MAY 14 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- Data detailed on Differential Equations have been presented. According to news reporting originating in London, United Kingdom, by VerticalNews journalists, research stated, "We provide a criterion for a generalised flow solution of a non-autonomous ordinary differential equation to avoid a subset of the phase space."
The news reporters obtained a quote from the research from the University of London Imperial College, "This improves on that established by Aizenman for the autonomous case, where avoidance is guaranteed if the underlying vector field is sufficiently regular and the subset has sufficiently small box-counting dimension. We define the r-codimension print of a subset S subset of R-n x [0, T], which is a subset of (0, infinity](2) that encodes the dimension of S in a way that distinguishes spatial and temporal detail. ...read more
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