Results 91 to 100 of about 341,593 (214)
Solutions to a phase-field model of sea ice growth
Boundary Value Problems, 2019 We shall apply the phase-field method to investigate the dynamics of sea ice growth. The model consists of two parabolic equations. The existence and uniqueness of weak solutions to an initial-boundary value problem of this model is proved.
Yangxin Tang
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Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
Bruno Pini Mathematical Analysis Seminar, 2011 We provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0.
Angelo Favini
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On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
Boundary Value Problems, 2009 We will use the concept of renormalized solution to initial boundary value problems with equivalued surface for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and give the relation between renormalized ...
Li Fengquan
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Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
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A note on abstract quasilinear parabolic evolution equations
Differential and Integral Equations, 2005 This note is concerned with a stability estimate for parabolic evolution operators and its application to abstract quasilinear Cauchy problems.
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Abstract approach of degenerate parabolic equations with dynamic boundary conditions
, 2017 An initial boundary value problem of the nonlinear diffusion equation with a dynamic boundary condition is treated. The existence problem of the initial-boundary value problem is discussed. The main idea of the proof is an abstract approach from the evolution equation governed by the subdifferential.
Fukao, Takeshi, Motoda, Taisih
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Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations
Boundary Value ProblemsWe consider second-order linear parabolic partial differential inequalities that include nonlocal zeroth-order quantities. For these, we establish minimum principles that highlight the interplay between the regularity of their coefficients, the growth ...
Nikolaos M. Ladas, John C. Meyer
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Қарағанды университетінің хабаршысы. Математика сериясыThis article is devoted to the study of source identification problems for reverse parabolic partial differential equations with nonlocal boundary conditions.
C. Ashyralyyev, M.A. Sadybekov
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Optimal regularity for a class of singular abstract parabolic equations
Journal of Differential Equations, 2007 A general class of singular abstract Cauchy problems is considered which naturally arises in applications to certain Free Boundary Problems. Existence of an associated evolution operator characterizing its solutions is established and is subsequently used to derive optimal regularity results. The latter are well known to be important basic tools needed
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On the existence of periodic solutions to nonlinear abstract parabolic equations
, 1988 H. Okochi
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