[PDF] Top 20 Una propuesta de situaciones problemáticas en la enseñanza del principio de conservación de la energía
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Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... the blow-up time if blow-up occurs, or else t ∗ = ∞. It is well known that the functions f and g may greatly affect the behavior of the solution u(x, t) with the development of time. From the ... See full document
38
Global and blow up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
... subject to the homogeneous Dirichlet boundary condition. By using the comparison prin- ciple and constructing a self-similar lower solution, they obtained sufficient conditions for global ... See full document
11
Global existence and nonexistence of solutions for quasilinear parabolic equation
... blows up in finite time. They also extended the results to the initial boundary value problem of the corresponding parabolic ...initial boundary value problem of the nonlinear ... See full document
16
Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition
... nonlocal parabolic equation with time-integral term does not seem to be so much investigated as nonlocal equations with space-integral ...the existence of non-global ...the nonlinear ... See full document
14
Asymptotic analysis for reaction-diffusion equations with absorption
... the global existence and nonexistence of solutions, and prove Theorems ...the blow-up rate and study the nonextinction phenomenon for the problem ... See full document
12
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... Local in time existence of positive classical solutions of (1.1) can be obtained by using fixed point theorem [21], the representation formula and the contraction map- ping principle as in [13]. By the ... See full document
29
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition
... and nonlinear index influenced global and non-global existence of ...the existence and nonexistence of global positive solutions are given and the uniform ... See full document
44
Global existence and blow up of solutions for a nonlinear wave equation with memory
... Dirichlet boundary conditions. We first prove a local existence theorem and show, for some appropriate assumption on g and the initial data, that this solution is global with energy which decays ... See full document
81
Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions
... the existence of global and blow-up ...a global solution, the upper bound of ‘blow-up time’ and the upper estimate of ‘blow-up rate’ were also ... See full document
12
A note on blow-up of solutions for the nonlocal quasilinear parabolic equation with positive initial energy
... Neumann boundary condition (.), and established a blow-up re- sult, when f ( | u | ) belongs to a large class of nonlinearities and the initial energy was non- positive by using the ... See full document
31
Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary
... the blow-up singularity of a semilinear parabolic equation with nonlinear memory both in the reaction term and the boundary ...semilinear parabolic equations with various ... See full document
8
Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms
... where h(u) ≈ [u + 1] + − 1. After that, equations like (1.4) with the Navier boundary condition have been considered in many papers, see [22, 41, 44, 46]. Recently, Ferrero and Gazzola [8] suggested that ... See full document
11
Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
... the blow-up result of solutions with nonpositive initial energy as well as pos- itive initial energy for both the linear and nonlinear damping ...the global existence of solution ... See full document
137
Global existence and blow up results for p Laplacian parabolic problems under nonlinear boundary conditions
... The blow-up problems for parabolic equations with nonlinear boundary conditions have been widely investigated in recent years (see, ... See full document
121
A class of fourth order parabolic equation with logarithmic nonlinearity
... the existence of the unique global weak solution of the problem ...the existence of the unique local weak solution of the problem ...the existence of the unique global weak solution of ... See full document
112
Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... with blow-up phenomena of solutions to parabolic partial differential ...the blow-up pheno- mena of the solution of the following parabolic ... See full document
23
Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation
... precise blow-up scenarios and blow-up criteria of strong ...the blow-up rate of strong ...two global existence results of strong ...Although blow-up ... See full document
117
On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms
... Remark . The assumptions (A) and (A) have been used in []. The condition (.) is the well-known Ambrosetti-Rabinowitz condition, widely used in elliptic problem. Also as remarked in [, ], the ... See full document
21
Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition
... the parabolic maximum principles [, ...the blow-up. In Section , we will find a lower bound for the blow-up time when blow- up ... See full document
9
Numerical Quenching for Heat Equations with Coupled Nonlinear Boundary Flux
... form of above problem quenches in a finite time only at first node of the mesh. We show that the time derivative of the solution blows up at quenching node. Some conditions under which the non-simultaneous or ... See full document
170
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