Results 1 to 10 of about 6,399 (264)
Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation [PDF]
Journal of Applied Mathematics, 2014 We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′.
Ning Su, Li Zhang
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On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping [PDF]
Journal of Applied Mathematics, 2015 This paper deals essentially with a nonlinear degenerate evolution equation of the form Ku″-Δu+∑j=1nbj∂u′/∂xj+uσu=0 supplemented with nonlinear boundary conditions of Neumann type given by ∂u/∂ν+h·, u′=0.
A. T. Lourêdo +2 more
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A Class of Fractional Degenerate Evolution Equations with Delay [PDF]
Mathematics, 2020 We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We
Amar Debbouche, Vladimir E. Fedorov
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On Solvability of Degenerate Linear Evolution Equations with Memory Effects
Известия Иркутского государственного университета: Серия "Математика", 2014 By the methods of the operators semigroups theory a degenerate linear evolution equation with memory in a Banach space is reduced to a system of two equations.
V.E. Fedorov, L.V. Borel
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Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* [PDF]
ESAIM: Proceedings and Surveys, 2023 This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor).
Faccanoni Gloria, Galusinski Cédric
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Degenerate Evolution Equations in Hilbert Space [PDF]
Transactions of the American Mathematical Society, 1971 We consider the degenerate evolution equation c 1 ( t ) d u / d t + c 2 ( t ) A ( t ) u = f ( t
Friedman, Avner, Schuss, Zeev
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L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation
Boundary Value Problems, 2021 In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
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Results in Physics, 2022 An enthalpy function Hj∝1+ηj2is deduced from the density of states for degenerate relativistic charged particulate. Here ηj=pj/mjc2stands for the relativistic factor, pjmjis the Fermi momentum (mass) for the jth degenerate relativistic species and c ...
Muhammad Irfan +4 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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Известия Иркутского государственного университета: Серия "Математика", 2021 An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
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