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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 17
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 4, August 2010
  4. On the generalized Burgers equation
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 6, December 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 5, October 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 4, August 2010
Principal eigenvalue in an unbounded domain with indefinite potential
Homoclinic orbits for an unbounded superquadratic
On the generalized Burgers equation
Remarks on regularity and uniqueness of the Dirac–Klein–Gordon equations in one space dimension
Cocompactness and minimizers for inequalities of Hardy–Sobolev type involving N-Laplacian
Viability for nonlinear multi-valued reaction–diffusion systems
Parameter-dependent systems on the half-line and free convection boundary-layers in porous media
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 3, June 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 2, April 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 1, February 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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On the generalized Burgers equation

Content Provider SpringerLink
Author Tersev, Alkis S.
Copyright Year 2010
Abstract The present paper is concerned with the initial boundary value problem for the generalized Burgers equation u t + g(t, u)u x + f(t, u) = εu xx which arises in many applications. We formulate a condition guaranteeing the a priori estimate of max |u x | independent of ε and t and give an example demonstrating the optimality of this condition. Based on this estimate we prove the global existence of a unique classical solution of the problem and investigate the behavior of this solution for ε → 0 and t → + ∞. The Cauchy problem for this equation is considered as well.
Ending Page 452
Page Count 16
Starting Page 437
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 4
Volume Number 17
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-02-11
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Boundary value problems Initial value problems for nonlinear first-order equations A priori estimates Global solvability Nonlinear initial value problems for linear parabolic equations Analysis Semilinear parabolic equations Boundary value problems for nonlinear first-order equations Nonlinear parabolic equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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