[PDF] Top 20 Reaction diffusion problems under non local boundary conditions with blow up solutions
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Reaction diffusion problems under non local boundary conditions with blow up solutions
... of reaction-diffusion problems with non-local source terms involving space integrals and investigate under what conditions the solutions blow up or exist ... See full document
11
Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)
... There is a vast literature on the question of blow-up of solutions to nonlinear parabolic equations and systems. Readers can refer to the books of Straughan [] and Quittner and Souple [], as well ... See full document
5
Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... world problems [–]. The diffusion and/or the boundary conditions have the ten- dency to decrease or increase the solution ...some reaction- diffusion equations, the blow-up of ... See full document
18
Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
... nonlocal boundary conditions in mathematical modeling such as thermoelas- ticity theory (see [, ], and ...boundary conditions. Friedman [] investigated the behavior of the solutions ... See full document
16
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary ...The blow-up and global existence ... See full document
14
Global existence and blow-up for a class of nonlinear reaction diffusion problems
... study reaction diffusion problem ...nonlinear reaction, nonlinear diffusion and nonlinear convection, respec- ...the conditions on the data to guarantee the blow-up of the solution at ... See full document
11
Blow up and global existence for nonlinear reaction diffusion equations under Neumann boundary conditions
... where D is a bounded domain of R N (N ≥ ) with smooth boundary ∂D. Sufficient con- ditions were given there for the existence of blow-up and global solutions. Meanwhile, an upper bound of the ... See full document
11
Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux
... parabolic reaction-diffusion system with a nonlinear absorption term, meanwhile the two equations of the system coupled via nonlinear boundary flux which obey different ...laws. Under the hypothesis ... See full document
11
Lower bound for the blow-up time for some nonlinear parabolic equations
... finite-time blow-up of solutions to parabolic problems under a homoge- neous Dirichlet boundary condition and Neumann condition has earned great attention (see ...the ... See full document
6
A condition for blow-up solutions to discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks
... Note that by the comparison principle, if f (0) = 0, then solutions u to equation (2) are nonnegative. On the other hand, it is natural that f is assumed to be positive on (0, +∞) when we deal with the ... See full document
21
Non-Newtonian polytropic filtration systems with nonlinear boundary conditions
... displacement under poly- tropic ...the non-Newtonian polytropic filtration equations which have been intensively studied (see [1-4] and the references ...the local existence of solutions in ... See full document
11
Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions
... In this paper, we study problem (.). Since the function f (x, u, q, t) contains a gradient term q = |∇u| , it seems that the methods of [–] are not applicable for problem (.). In this paper, by constructing ... See full document
12
Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient
... the non-local reaction diffusion problem with time dependent coefficient under the Dirichlet boundary condition are ...the conditions on the data of problem (1.1) sufficient to ... See full document
6
Boundary Blow Up Solutions to Laplacian Equations with Exponential Nonlinearities
... variational problems with nonstandard px-growth conditions is a new and interesting ...these problems. Many results have been obtained on this kind of problems, for example, 1–15 ... See full document
8
The Blow-up Time For Reaction-diffusion Equations With Dirichlet Boundary Conditions
... blows up in a finite time and estimate its semidiscrete blow-up ...semidiscrete blow-up time converges to the theoretical one when the mesh size goes to ...Dirichlet boundary ... See full document
11
Blow-up Phenomena for a Class of Degenerate Parabolic Problems with Multiple Nonlinearities
... Dirichlet boundary condition and homogeneous Neumann boundary ...the blow-up time under the above two boundary ...nonlinear boundary condition [9] or Robin condition ... See full document
10
Nontrivial solutions of second-order singular Dirichlet systems
... In this paper, we established the multiplicity of nontrivial solutions for a second-order Dirichlet system by a well-known fixed point theorem in cones and the Leray-Schauder alternative principle. Some recent ... See full document
14
Blow-up Phenomena for a Class of Degenerate Parabolic Problems under Robin Boundary Condition
... boundary condition. By constructing some appropriate auxiliary functions and using first order differential inequalities technique, we derive conditions which guarantee the blow-up of ... See full document
8
Global weak solutions for a generalized Dullin-Gottwald-Holm equation in the space H1(R)
... sign conditions on the initial value, and the uniqueness of the weak solution was then obtained under certain conditions on the solution ...weak solutions for the generalized hyperelastic rod ... See full document
19
Existence of solution for p-Laplacian boundary value problems with two singular and subcritical nonlinearities
... (or blow-up) solutions. More studies on blow-up boundary solutions of logistic type equation like ...Dirichlet boundary value problems for the ... See full document
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