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Generalized semiflows for a plate model with presumed nonuniqueness of solution
(2019-01-01)
We study a plate equation with presumed nonuniqueness for the associated Cauchy problem. We establish the existence of global weak solutions by the Faedo–Galerkin method, and our main result refers to the existence of a ...
Numerical evidence of nonuniqueness in the evolution of vortex sheets
(Edp Sciences S ALes Ulis Cedex AFrança, 2006)
Global attractor for the generalized double dispersion equation
(Pergamon-ElsevierOxford, 2015-03)
The paper studies the existence of global attractor for the generalized double dispersion equation arising in elastic waveguide model 'U IND.TT' −Δu−Δ'U IND.TT' +'Δ POT.2'u−Δ'U IND.T' − Δg(u) = f (x). The main result is ...
Existence And Multiplicity Of Self-similar Solutions For Heat Equations With Nonlinear Boundary Conditions
(SPRINGER HEIDELBERGHEIDELBERG, 2015)
Non-uniqueness of positive ground states of non-linear Schr¨odinger equations
(London Mathematical Society, 2013)
Existence of a positive, decaying radial solution to the problem
Δu − u + up + λuq = 0 in RN,
when λ > 0 and 1 < q < p < (N + 2)/(N − 2) has been known for a long time. For λ = 0, it
is well known that this solution is ...
Não unicidade para uma classe de operadores do tipo parabólico
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-01-18)
In this thesis we consider the non-uniqueness for a class of parabolic operators. We will
prove that for certain real analytic perturbation of the Heat Operator there is a non unique
solution for the Initial Value Problem.
Solutions of some simple boundary value problems within the context of a new class of elastic materials
(PERGAMON-ELSEVIER, 2011-03)
Some simple boundary value problems are studied, for a new class of elastic materials, wherein deformations are expressed as non-linear functions of the stresses. Problems involving 'homogeneous' stress distributions and ...
Simplification of the molecular dynamics that preserves thermodynamics
(2018)
A systematic algorithm to reduce the potential energy surface is presented, which is based on successive inversions of virial data, so that the molecular dynamics is capable of preserving the thermodynamics of the system. ...