Degenerate parabolic equation
Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent
... Equation (.) is a doubly degenerate parabolic equation with delay and nonlocal term, which models diffusive periodic phenomena in physics and mathematical biology. In bi- ology, it arises ...
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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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On a weak solution matching up with the double degenerate parabolic equation
... A (s) = a(s) ≥ 0, and A(s) is a strictly monotone increasing function with A(0) = 0. A weak solution matching up with the double degenerate parabolic equation is introduced. The existence of weak ...
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The asymptotic behavior of the solution of a doubly degenerate parabolic equation with the convection term
... At the end of this introduction section, we would like to point that the condition m (p - 1) >1 in Theorem 1.2, which means that the Equation (1.1) or (1.11) is a doubly degenerate parabolic ...
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The boundary degeneracy theory of a strongly degenerate parabolic equation
... the equation may be free from the limitation of the boundary value ...the parabolic regularization method, and the stability of the solutions is obtained by Kruzkov’s bi-variables method combined with an ...
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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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Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
... medium equation; see ...diffusion equation with convection on half line under the homogeneous Neumann boundary condition; see 14–17 and another important application aries in the problem about the evolution ...
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Blow-up profile for a degenerate parabolic equation with a weighted localized term
... medium equation, can be used to describe some phys- ical phenomena such as chemical reactions due to catalysis and an ignition model for a reaction gas (see ...
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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 ...reaction-diffusion equation is considered ...strongly degenerate parabolic ...
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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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Rothe-Galerkin's method for a nonlinear integrodifferential equation
... The literature on the subject of local in time doubly nonlinear evolution equations is rather wide. Among these contributions, we refer the reader to [1] where the authors studied the convergence of a finite volume ...
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On a parabolic equation related to the p-Laplacian
... with < γ < , and shown that the uniqueness of the solutions of equation (.) is not true. From the short comment, one can see that the degeneracy of the coefficient ρ α plays an important role in the ...
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Global existence and boundedness in a quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type
... boundary. Here χ ≥ , ξ ≥ , α > , β > , γ > , δ > , and τ = , are parameters. The unknown functions u(x, t), v(x, t), and w(x, t) denote the cell density, the concentration of an attractive signal, ...
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A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme
... a parabolic regularization of function b(u) or by perturbing the boundary and initial data such that the corresponding solutions do not take the degenerate ...singular parabolic problems; two-phase ...
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Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations
... It is well known that the components F i of a quasiregular mapping satisfy a second- order quasilinear di ff erential equation which is degenerate elliptic. Many results on quasiregular mappings are proved ...
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Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
... In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness ...
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DEGENERATE DAEHEE NUMBERS OF THE THIRD KIND
... the degenerate exponential function. By using this degenerate exponential function, he studied the degenerate Bernoulli numbers and polynomials which are given by the generating ...Carlitz’s ...
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The existence of a solution to a class of degenerate parabolic variational inequalities
... linear parabolic operator with constant coefficients can be replaced by a quasi-linear one with integro-differential ...to parabolic variational inequalities with integro- differential terms were proved by ...
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Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients
... quasilinear degenerate parabolic systems with skew-symmetric ...quasilinear degenerate parabolic systems constructed by Hörmander’s vector ...
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Degenerate multi-solitons in the sine-Gordon equation
... sine-Gordon equation this equation arise from the combination of four sets of B¨ acklund transformations where each of them relate two different solutions of ...
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