The generalized KdV-Burgers equation u t +(ฮดu xx +g(u)) x -ฮฝu xx +ฮณ u = f (x), ฮด, ฮฝ > 0, ฮณ โฅ 0, is considered in this paper. Using the parabolic regularization technique we prove local and global solvability in H 2 (R) of the Cauchy problem for this equation. Several regularity properties of the app
The generalized burgers equation in viscoanelastic media with memory
โ Scribed by Vincenzo Ciancio; Liliana Restuccia
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 394 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0378-4371
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๐ SIMILAR VOLUMES
The generalized Burgers equation @tu -@xxu + @xu k+1 = 0, with initial data u0 in homogeneous Sobolev spaces are investigated. The starting point of this work is the construction of solutions in . If in addition, the initial data belongs to Lp;s then the obtained solution is actually in L โ ([0; โ)
We obtain the global existence and uniqueness for a generalized Burger's equation with viscosity and the initial value being in L ยฐยฐ by successive method. Moreover, under certain condition on the initial value the solution tends to the solution of a linear heat equation in H 1.