The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities
DOI10.1017/S0017089522000027zbMath1495.35044OpenAlexW4213144132MaRDI QIDQ5095578
Nguyen Duong Toan, Le Thi Thuy
Publication date: 10 August 2022
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089522000027
Attractors (35B41) Integro-partial differential equations (45K05) Diffusion (76R50) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and long-time behavior of variational solutions to a class of nonclassical diffusion equations in noncylindrical domains
- Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
- Time-dependent attractor for the oscillon equation
- Attractors for the non-autonomous nonclassical diffusion equations with fading memory
- On the dynamics of a class of nonclassical parabolic equations
- Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term
- Pullback attractors for a class of non-autonomous nonclassical diffusion equations
- Attractors for the nonclassical diffusion equations with fading memory
- Compact sets in the space \(L^ p(0,T;B)\)
- On the problem of diffusion in solids
- Averaging of nonclassical diffusion equations with memory and singularly oscillating forces
- Attractors for a nonclassical diffusion equation
- Long-time dynamics of the parabolic \(p\)-Laplacian equation
- Nonclassical diffusion equations on \(\mathbb{R}^N\) with singularly oscillating external forces
- On the existence of regular global attractor for \(p\)-Laplacian evolution equation
- Attractors for processes on time-dependent spaces. Applications to wave equations
- Asymptotic structure of the attractor for processes on time-dependent spaces
- On a theory of heat conduction involving two temperature
- Asymptotic stability in viscoelasticity
- Global attractors for a nonclassical diffusion equation
- Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities
- A model of viscoelasticity with time-dependent memory kernels
- Viscoelasticity with time-dependent memory kernels, II: asymptotic behavior of solutions
- Existence and upper semicontinuity of uniform attractors in H1(RN) for nonautonomous nonclassical diffusion equations
- Nonclassical diffusion with memory
- Time-dependent global attractor for the nonclassical diffusion equations
- Pullback attractors in for non-autonomous nonclassical diffusion equations
This page was built for publication: The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities