First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.
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Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.
A Beale-Kato-Majda Lipschitz control on density and velocity gradients with strong time integrability, combined with material acceleration estimates, yields a continuation criterion and weak-strong uniqueness for the compressible fluid-viscoelastic shell system.
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Weak and strong solutions for a class of quasilinear Allen--Cahn systems
First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.
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Stochastically forced Navier-Stokes equations interacting with an elastic structure
Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
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Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.
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Blow-Up Criteria and Weak--Strong Uniqueness for Compressible Fluid--Viscoelastic Shell Interactions
A Beale-Kato-Majda Lipschitz control on density and velocity gradients with strong time integrability, combined with material acceleration estimates, yields a continuation criterion and weak-strong uniqueness for the compressible fluid-viscoelastic shell system.