Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity
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Publication:5094523
DOI10.1080/17476933.2021.1921749zbMath1495.35128OpenAlexW3167012007MaRDI QIDQ5094523
Publication date: 3 August 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2021.1921749
Initial-boundary value problems for second-order hyperbolic equations (35L20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems on manifolds (58J32) Hypoelliptic equations (35H10) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
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- On a viscoelastic equation with nonlinear boundary damping and source terms: global existence and decay of the solution
- Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities
- Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
- Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Streamline topologies near a fixed wall using normal forms
- Numerical-asymptotic expansion matching for computing a viscous flow around a sharp expansion corner
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
- Multiple solutions for semi-linear corner degenerate elliptic equations
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- On global solution of nonlinear hyperbolic equations
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term
- Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation
- Weighted spaces on corner manifolds
- Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Evolving eddy structures in oscillatory Stokes flows in domains with sharp corners
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
- Viscous and resistive eddies near a sharp corner
- Corner boundary value problems
- General decay of energy for a viscoelastic equation with nonlinear damping