Communications in Partial Differential Equations, Volume 47, Issue 2 (2022)

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Communications in Partial Differential Equations, Volume 47, Issue 2 (2022)

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Articles

Article
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms
Patrik Knopf & Andrea Signori
Pages: 233-278
Published online: 03 Sep 2021
AbstractforExistence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms | Full Text | References | PDF (3.2 MB) | EPUB
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Article
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection
Yuanyuan Feng & Anna L. Mazzucato
Pages: 279-306
Published online: 08 Sep 2021
AbstractforGlobal existence for the two-dimensional Kuramoto-Sivashinsky equation with advection | Full Text | References | PDF (1.9 MB) | EPUB
  • 443 Views
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Article
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
J. Ignacio Tello
Pages: 307-345
Published online: 08 Sep 2021
AbstractforBlow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient | Full Text | References | PDF (2.6 MB) | EPUB
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Article
Randomized final-state problem for the Zakharov system in dimension three
Martin Spitz
Pages: 346-377
Published online: 13 Oct 2021
AbstractforRandomized final-state problem for the Zakharov system in dimension three | Full Text | References | PDF (2.2 MB) | EPUB
  • 242 Views
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Article
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion
Shuichi Kawashima, Yoshihiro Shibata & Jiang Xu
Pages: 378-400
Published online: 10 Oct 2021
AbstractforDissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion | Full Text | References | PDF (1.7 MB) | EPUB
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Article
L2-type Lyapunov functions for hyperbolic scalar conservation laws
Denis Serre
Pages: 401-416
Published online: 30 Sep 2021
AbstractforL2-type Lyapunov functions for hyperbolic scalar conservation laws | Full Text | References | PDF (1.1 MB) | EPUB
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Article
Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown
Hitoshi Ishii, Kaizhi Wang, Lin Wang & Jun Yan
Pages: 417-452
Published online: 18 Oct 2021
AbstractforHamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown | Full Text | References | PDF (2.3 MB) | EPUB
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