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On necessary and sufficient conditions for strong hyperbolicity in systems with constraints
(IOP Publishing, 2020-09)
In this work, we study constant-coefficient first order systems of partial differential equations and give necessary and sufficient conditions for those systems to have a well-posed Cauchy problem. In many physical ...
MATRIX-BIPOLAR ASYMPTOTIC MODULES FOR SOLVING (2+1)-DIMENSIONAL NON-LINEAR EVOLUTION-EQUATIONS WITH CONSTRAINTS
(Iop Publishing Ltd, 1988-11-07)
MATRIX-BIPOLAR ASYMPTOTIC MODULES FOR SOLVING (2+1)-DIMENSIONAL NON-LINEAR EVOLUTION-EQUATIONS WITH CONSTRAINTS
(Iop Publishing Ltd, 1988-11-07)
A SOLVABLE HIERARCHY OF (N+1)-DIMENSIONAL NON-LINEAR EVOLUTION-EQUATIONS WITH CONSTRAINTS
(Iop Publishing Ltd, 1989-01-07)
A SOLVABLE HIERARCHY OF (N+1)-DIMENSIONAL NON-LINEAR EVOLUTION-EQUATIONS WITH CONSTRAINTS
(Iop Publishing Ltd, 1989-01-07)
Scalar-bipolar asymptotic modules for solving (2+1)-dimensional nonlinear evolution equations with constraints
(Elsevier B.V., 1988-10-24)
An infinite hierarchy of solvable systems of purely differential nonlinear equations is introduced within the framework of asymptotic modules. Eacy system consists of (2+1)-dimensional evolution equations for two complex ...
Constraints between equations of state and mass-radius relations in general clusters of stellar systems
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE FÍSICAICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2019)
Provamos três resultados de obstrução sobre a existência de equações de estado em aglomerados de sistemas estelares cumprindo relações massa-raio e algum limite adicional (na massa, no raio ou um limite causal). Os teoremas ...
A necessary condition ensuring the strong hyperbolicity of first-order systems
(World Scientific, 2018-11)
We study strong hyperbolicity of first order partial differential equationsfor systems with differential constraints. In these cases, the number ofequations is larger than the unknown fields, therefore, the standard ...