Early evolution of fully convective stars in scalar–tensor gravity
European Physical Journal C: Particles and Fields, 2023 In this work, the early evolution of low-mass fully convective stars is studied in the context of DHOST (degenerate higher order scalar-tensor) theories of gravity.
Débora Aguiar Gomes, Aneta Wojnar
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A Finite Difference Representation of Neutrino Radiation Hydrodynamics in Spherically Symmetric General Relativistic Space-Time [PDF]
, 2003 We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, Agile-Boltztran, solves the Boltzmann transport equation for the angular and spectral neutrino distribution ...
Anthony Mezzacappa +13 more
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Quasilinear degenerate evolution equations in Banach spaces [PDF]
Journal of Evolution Equations, 2004 The paper is concerned with the Cauchy problem for the quasilinear degenerate evolution equation of parabolic type in a Banach space \(X\): \[ {{dMv}\over{dt}} +L(Mv)v=F(Mv), \quad \;Mv(0)=u_0, \quad ...
FAVINI, ANGELO, A. Yagi
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Well-posedness for mean-field evolutions arising in superconductivity [PDF]
, 2016 We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in a joint work with Serfaty in certain regimes as the mean-field evolution of the supercurrent density in a (2D section of a) type-II ...
Duerinckx, Mitia
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Two-Scale Homogenization of Implicit Degenerate Evolution Equations
Journal of Mathematical Analysis and Applications, 1997 In the framework of two-scale convergence for homogenization of partial differential equations with periodic coefficients, the authors show how the two-scale method can also be applied to evolution equations, including degenerate and implicit equations, where the coefficients are \(\varepsilon\)-periodic in the space variable.
Clark, G.W., Packer, L.A.
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Stationary States and Asymptotic Behaviour of Aggregation Models with Nonlinear Local Repulsion [PDF]
, 2013 We consider a continuum aggregation model with nonlinear local repulsion given by a degenerate power-law diffusion with general exponent. The steady states and their properties in one dimension are studied both analytically and numerically, suggesting ...
Burger, Martin +2 more
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On the Generalized Kinetic Equation for Surface Gravity Waves, Blow-Up and Its Restraint
Fluids, 2018 This article is concerned with the non-linear interaction of homogeneous random ocean surface waves. Under this umbrella, numerous kinetic equations have been derived to study the evolution of the spectral action density, each employing slightly ...
David Andrade +2 more
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Regularity for degenerate evolution equations with strong absorption [PDF]
Journal of Differential Equations, 2018 In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of $p$-Laplacian type ($2 \leq p< \infty$) under a strong absorption condition: $ Δ_p u - \frac{\partial u}{\partial t} = λ_0 u_{+}^q \quad \mbox{in} \quad Ω_T \defeq Ω\times (0, T), $ where $0 \leq q < 1$ and $λ_0$ is a function bounded away from zero ...
João Vitor da Silva +2 more
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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
Mathematics, 2022 The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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