Nonlinear Degenerate Parabolic Equation
Rothe-Galerkin's method for a nonlinear integrodifferential equation
... doubly nonlinear evolution equations is rather ...elliptic-parabolic equation. Using Rothe method, the author in [2] studied a nonlinear degenerate parabolic equation with ...
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Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
... exists and we distinguish between fast and slow orbits according to whether Lλ 0 or not, respectively. The fast orbit will bring out a very singular solution of 1.1. The very singular solution has a stronger singularity ...
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Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... to degenerate parabolic equations with homogeneous Dirichlet boundary condition (see [1-4] and references ...the parabolic equation with nonlocal ...
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Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
... 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 ...
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Local Boundedness of Weak Solutions for Nonlinear Parabolic Problem with Growth
... the degenerate parabolic equation with p-growth conditions for p > 1, where p is a constant, then in 16 the authors established the H ¨older continuity of the equation for the singular case ...
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Existence of Solutions to a Viscous Thin Film Equation
... of nonlinear fourth-order degenerate parabolic equations has become an interesting ...Cahn-Hilliard equation and the thin film equation. The Cahn-Hilliard equation can describe ...
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A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme
... the degenerate cases, ...Richards’ equation) or b′(s) > 0 but discontinuous at one point 0 (such as Stefan problem or porous-medium ...two degenerate cases simultaneously and present the error ...
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The boundary degeneracy theory of a strongly degenerate parabolic equation
... been developed around . Besides the works in [–, ], Carrillo [] succeeded in proving the uniqueness and existence of entropy solutions under the homogeneous boundary condition, later Mascia et al. [] and ...
36
WENO schemes for multidimensional nonlinear degenerate parabolic PDEs
... heat equation with a known exact solution and is used for checking the accuracy and order of convergence ...medium equation [26]. In Example 3, a nonlinear problem is presented and suggested as test ...
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A doubly degenerate diffusion equation not in divergence form with gradient term
... Wang, J: Behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form. Winkler, M: Lager time behavior of solutions to degenerate parabolic equati[r] ...
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A new positive definite semi-discrete mixed finite element solution for parabolic equations
... p (1.1) where Ω is a bounded convex domain in R 2 with the smooth boundary of ∂ Ω , J = ( T 0 , ] . At first, the following assumptions were made for the parabolic equation. The positive constants K * and ...
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EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... Step4. Substituting Eq. (24) into the Eq. (28) yields an equation in powers of Y. We then collect all coefficients of powers of Y in the resulting equation where these coefficients have to vanish. This will ...
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Regularity properties of degenerate convolution-elliptic equations
... fore, by virtue of Theorem . and Result . we obtain the assertions. Remark . There are a lot of positive operators in concrete Banach spaces. Therefore, putting in (.) and (.) concrete Banach spaces instead of ...
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Global and blow up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
... compatibility conditions. Under these assumptions, the classical parabolic equation the- ory [, Section ] ensures that there exists a unique classical solution u(x, t) to problem (.)-(.) for some T ...
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The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
... Certainly, as we already know that a degenerate parabolic equation generally only has a weak solution, the above linearization is only formal. We only give some ideas of how to give the partial ...
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Existence and decay of solutions of some nonlinear parabolic variational inequalities
... On the existence of bounded solution for nonlinear evolution equation of parabolic type, Math.. Educ., Kyushu Univ.,.[r] ...
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Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent
... We now discuss the main plan of the paper. In Section , we review some preliminaries concerning the variable exponent Sobolev spaces and introduce a family of regularized problems for problem (.). We regularize the ...
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GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.
... Moreover, image processing is always a challenging problem, this topic has become “hot”, recently and a very active field of computer applications and research [18]. Image is restored to its original quality by inverting ...
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On weak solutions of semilinear hyperbolic parabolic equations
... Observe that on the set K x, t 0 the equation 1 7 degenerate into parabolic equation In this paper we study existence and uniqueness of weak solution of the mixed problem for the equatio[r] ...
8
Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation
... equation (.) is of hyperbolic-parabolic mixed type and might have a discontinuous so- lution. The posedness of the Cauchy problem of equation (.) has been deeply investi- gated (see [–] etc.). ...
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