[PDF] Top 20 The global solution of a diffusion equation with nonlinear gradient term
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The global solution of a diffusion equation with nonlinear gradient term
... The most important characteristic of equation (.) or (.) is in that, generally, the uniqueness of the solutions is not true; one can refer to [–]. Thus, for the equation of the type (.), we should ... See full document
20
Global and blow up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
... and global solvability for nonlinear evolu- tion equations have been investigated extensively by many ...a gradient term, we refer to [–] ... See full document
10
Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term
... The work presented here was carried out in collaboration between all authors. RZ organised this paper and found the topic of this paper. He introduced this problem and suggested the methods and the outline of the proofs. ... See full document
13
L∞ estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L1 data
... L 1 (Ω) and give the L ∞ estimates for u(t) under the similar condition in [1]. More spe- cially, we will study the behavior of solution u(t) as t ® 0 + . Obviously, if m = 0 and g ≡ 0, problem (1.1) is reduced to ... See full document
17
Global solutions for a nonlinear hyperbolic equation with boundary memory source term
... theory of electromagnetic materials with memory which obey the Ohm’s law. It can also describe the temperature evolution in a rigid conductor with a memory. We refer to [8, 9] to see the details. In many works concerned ... See full document
16
Weighted Lorentz estimates for nonlinear elliptic obstacle problems with partially regular nonlinearities
... attained gradient estimates in weighted Lorentz spaces for quasilinear elliptic p-Laplacian and p(x)- Laplacian equations based on a rather different geometrical approach used in [8], respec- ...strong ... See full document
29
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... called nonlinear generalized Burger-Huxley equation which describe the relation of reaction, convection and diffusion ...Burger’s-Huxley equation using mixed collocation and finite difference ... See full document
15
Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms
... be nonlinear and it should have enough degrees of freedom to display torsional ...the nonlinear behavior of the suspension bridge is well established, see [1, 4, 11, 18, ... See full document
25
On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term
... and solution method for wave propagation in compressible two-phase flow problem were proposed by Zeidan et ...of nonlinear hyperbolic conservation laws ... See full document
33
The implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source term
... From Table 1, we can observe the second-order accuracy in both spatial and temporal directions with different α and λ, which is in line with our convergence analysis. The nu- merical solutions of Example 1 are shown in ... See full document
14
General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
... and global existence theorems and showed that the solution energy exponentially or polynomially ...a nonlinear viscoelastic equa- tion with the dispersive term u tt by modifying the perturbed ... See full document
22
Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid
... analytical solution, so these nonlinear equations should be solved using approximate ...for nonlinear problems, namely homotopy analysis method (HAM) and then modified it ...of nonlinear ... See full document
12
Solution of Stochastic Cubic and Quintic Nonlinear Diffusion Equation Using WHEP, Pickard and HPM Methods
... heat equation of Cauchy type can be solved using the stochastic integrals ...Navier-Stokes equation and discussed the mathematical problems associated with ...general solution for the heat conduction ... See full document
16
Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions
... a gradient term q = |∇u| , it seems that the methods of [–] are not applicable for problem ...a global solution, an upper estimate of the global solution, the existence ... See full document
12
Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... the diffusion term that plays a crucial role in a wide range of applications in diffusion ...The diffusion term D u appears in several forms such as power law and exponential ... See full document
7
A doubly degenerate diffusion equation not in divergence form with gradient term
... A natural question is in what way the additional gradient term in (.) affects the behavior of solutions. It will be shown that, depending on the complicated interaction among the multi-nonlinearity ... See full document
19
GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.
... of global existence of our nonlinear reaction diffusion of problem (P), this is done in four steps: the first step we show the positive ...the equation and shows that the problem obtained has ... See full document
14
Determination of a nonlinear source term in a diffusion equation with final observations
... The paper is arranged as follows. In Section 2, the direct initial boundary value prob- lem is considered so as to explore necessary compatibilities for the related inverse problem studied in Section 3. Section 3.1 gives ... See full document
13
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... for Equation (6), where stability and two error estimates are proved rigorously by energy ...transformed Equation (6) into an equivalent form of Caputo fractional derivative and then derived a compact ADI ... See full document
21
General decay for a viscoelastic wave equation with strong time-dependent delay
... In the absence of time delay, problems similar to (.) have been extensively studied and there are many results in the literature, most of which are mainly concerned with global well-posedness, asymptotic ... See full document
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