On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents
DOI10.1016/j.camwa.2017.09.019zbMath1426.35074OpenAlexW2761279004MaRDI QIDQ2314288
Nemat Nyamoradi, V. N. Deiva Mani, L. Shangerganesh, Shanmugasundaram Karthikeyan
Publication date: 22 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.019
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Quasilinear parabolic equations (35K59)
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Cites Work
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- A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease
- Existence and uniqueness of solutions of degenerate chemotaxis system
- Lebesgue and Sobolev spaces with variable exponents
- Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions
- Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model
- A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
- Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
- A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
- Structural stability for variable exponent elliptic problems. II: The \(p(u)\)-Laplacian and coupled problems
- Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- Weak and classical solutions to predator-prey system with cross-diffusion
- A user's guide to PDE models for chemotaxis
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids
- Summability and existence results for nonlinear parabolic equations
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
- Preventing blow up in a chemotaxis model
- Evolution of a mathematical model of an aggressive-invasive cancer under chemotherapy
- Mathematical modelling, analysis and numerical simulations for the influence of heat shock proteins on tumour invasion
- Global existence and blow up of solutions of quasilinear chemotaxis system
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Global solution for a chemotactic–haptotactic model of cancer invasion
- Global Existence of Classical Solutions for a Haptotaxis Model
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness
- Mathematical Modelling of Tumour Invasion and Metastasis
- Cancer Modelling and Simulation
- Weak-renormalized solutions for predator–prey system
- Solvability of reaction–diffusion model with variable exponents
- Weak-renormalized solutions for three species competition model in ecology
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
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