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[PDF] Top 20 A class of fourth order parabolic equation with logarithmic nonlinearity

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A class of fourth order parabolic equation with logarithmic nonlinearity

A class of fourth order parabolic equation with logarithmic nonlinearity

... a fourth-order parabolic equation with the logarithmic nonlin- ...second-order parabolic equation with the logarithmic nonlinearity is diffusely ... See full document

21

Global Existence, Exponential Decay and Blow-Up of Solutions for a Class of Fractional Pseudo-Parabolic Equations with Logarithmic Nonlinearity

Global Existence, Exponential Decay and Blow-Up of Solutions for a Class of Fractional Pseudo-Parabolic Equations with Logarithmic Nonlinearity

... the logarithmic Sobolev inequalities with higher fractional deriva- tives and the improved potential well theory to prove the invariant sets, the vacuum isolating be- havior, the global existence, decay and ... See full document

29

Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity

Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity

... nonlocal parabolic equation with logarithmic ...nonlocal parabolic equation with logarithmic nonlinearity does not admit the usual maximum principle and the comparison ... See full document

11

New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity

New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity

... in relaxation functions were either of exponential or polynomial type. In 2008, Messaoudi [36, 37] generalized the decay rates allowing an extended class of relaxation functions and gave general decay rates from ... See full document

21

A class of quasi variable mesh methods based on off step discretization for the numerical solution of fourth order quasi linear parabolic partial differential equations

A class of quasi variable mesh methods based on off step discretization for the numerical solution of fourth order quasi linear parabolic partial differential equations

... beam equation is a fourth-order PDE governing the undamped transverse vibrations of a homogenous beam, in which the support does not contribute to the strain energy of the system and is set up as ... See full document

29

Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient

Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient

... a class of time fractional parabolic equations with variable coefficient, where the time fractional derivative is defined in the sense of the Caputo ...spatial fourth-order ...convergence ... See full document

14

The local well-posedness for nonlinear fourth-order Schrödinger equation with mass-critical nonlinearity and derivative

The local well-posedness for nonlinear fourth-order Schrödinger equation with mass-critical nonlinearity and derivative

... mass-critical nonlinearity and nonlinearity with derivative appear at the same time, nonlinearity with second-order derivative plays more important ...Schrödinger equation which has ... See full document

11

Tension spline technique for the solution of fourth-order parabolic partial differential equation

Tension spline technique for the solution of fourth-order parabolic partial differential equation

... of fourth order parabolic partial differential equation that governs the behavior of a vibrating ...time. Class of methods and Stability analysis have been carried ... See full document

7

Existence of Solutions to a Viscous Thin Film Equation

Existence of Solutions to a Viscous Thin Film Equation

... film equation can analyze the motion of a very thin layer of viscous incompressible fluids along an inclined plane or model the fluid flows such as draining of foams and the movement of contact ...film ... See full document

8

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

... nonlinear parabolic equation with nonlocal source by Levine in [], many efforts have been made devoted to the study of blow-up properties for nonlocal semilinear parabolic ...semilinear ... See full document

9

A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient

A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient

... a class of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo ...sixth order and temporal 2 − α order accuracy, which is an ... See full document

7

A viscous thin-film equation with a singular diffusion

A viscous thin-film equation with a singular diffusion

... thin-film equation is usually used to describe the motion of a very thin layer of viscous incompressible fluids along an inclined plane such as the draining of foams and the movement of contact ...a class of ... See full document

13

Asymptotic speed of propagation for a viscous semilinear parabolic equation

Asymptotic speed of propagation for a viscous semilinear parabolic equation

... so that the limit speed is discontinuous with respect to the slope p. Such phenomenon is unusual in homoge- nization problems, and indicates that the effective limit of (1) as ε → 0 is governed by a differential operator ... See full document

9

Second order splitting for a class of fourth order equations

Second order splitting for a class of fourth order equations

... The advantage of such a splitting method is that the resulting system of equations is second order, it can thus be solved numerically using simpler finite elements than are required to directly solve (1.2). Of ... See full document

25

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

... potential V (x), which was firstly introduced in [] and is used to overcome the lack of compactness of embedding of the working space. In other words, under the weaker con- dition (V), the Sobolev embedding is not ... See full document

12

Higher Order Wave Equation with Logarithmic Source Term

Higher Order Wave Equation with Logarithmic Source Term

... ( )) = ‖ ‖ + ( ) (2.6) We can simple see that by using this Lemma (2.1) and with the combination of Galerkin method with it, we can see the proof of the theorem. Note = in equation 2.1 and using that = | | − , ... See full document

7

Controlling the dynamics of Burgers equation with a high order nonlinearity

Controlling the dynamics of Burgers equation with a high order nonlinearity

... We investigate analytically as well as numerically Burgers equation with a high-order nonlinearity (i.e., u t = νu xx −u n u x +mu+ h(x)). We show existence of an absorbing ball in L 2 [0, 1] and ... See full document

12

New Exact Solutions of the Modified Benjamin Bona Mahony Equation

New Exact Solutions of the Modified Benjamin Bona Mahony Equation

... a class of nonlinear fourth order variant of a generalized Camassa-Holm equation, ...a class of generalized kdv equation, ... See full document

6

To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity with Absorption at a Critical Parameter

To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity with Absorption at a Critical Parameter

... nonlinear parabolic equation with a double nonlinearity, describing the diffusion of heat with nonlinear heat absorption at the critical value of the parameter ... See full document

13

On a class of fourth order nonlinear difference equations

On a class of fourth order nonlinear difference equations

... In the last few years there has been an increasing interest in the study of oscillatory and asymptotic behavior of solutions of difference equations. Compared to second-order difference equations, the study of ... See full document

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