The Blow-Up Behavior of the Heat Equation with Neumann Boundary Conditions
We establish the blow-up rate for the solution of the heat equation u t = u xx , 0 < x < 1, t > 0 subject to Neumann boundary conditions: u x (0, t) = 0, u x (1, t) = e u(1, t) with convex initial data.
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| Published in | Journal of mathematical analysis and applications Vol. 188; no. 2; pp. 641 - 650 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
San Diego, CA
Elsevier Inc
01.12.1994
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0022-247X 1096-0813 |
| DOI | 10.1006/jmaa.1994.1450 |
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| Abstract | We establish the blow-up rate for the solution of the heat equation
u
t
=
u
xx
, 0 <
x < 1,
t > 0 subject to Neumann boundary conditions:
u
x
(0,
t) = 0,
u
x
(1,
t) =
e
u(1,
t)
with convex initial data. |
|---|---|
| AbstractList | We establish the blow-up rate for the solution of the heat equation
u
t
=
u
xx
, 0 <
x < 1,
t > 0 subject to Neumann boundary conditions:
u
x
(0,
t) = 0,
u
x
(1,
t) =
e
u(1,
t)
with convex initial data. |
| Author | Deng, K. |
| Author_xml | – sequence: 1 givenname: K. surname: Deng fullname: Deng, K. organization: Univ SW Louisiana, Dept Math, Lafayette, LA 70504, USA |
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| Copyright | 1994 Academic Press 1995 INIST-CNRS |
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| Keywords | Solution blow up Neumann problem Heat equation Partial differential equation |
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| Snippet | We establish the blow-up rate for the solution of the heat equation
u
t
=
u
xx
, 0 <
x < 1,
t > 0 subject to Neumann boundary conditions:
u
x
(0,
t) = 0,
u
x... |
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| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 641 |
| SubjectTerms | Exact sciences and technology Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use |
| Title | The Blow-Up Behavior of the Heat Equation with Neumann Boundary Conditions |
| URI | https://dx.doi.org/10.1006/jmaa.1994.1450 |
| Volume | 188 |
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