Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with a doubly degenerate parabolic system with special volumetric moisture content, which is called a Non-Newton polytropic filtration system. Under appropriate hypotheses,  prove that the solution either exists globally or blows up in finite time.
['Jun Zhou']
I am writing a research paper on a idea Global existence and blow-up of solutions for a Non-Newton polytropic filtration system with special volumetric moisture content
[{"from": "human", "value": "I am writing a research paper on a idea Global existence and blow-up of solutions for a Non-Newton polytropic filtration system with special volumetric moisture content"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with a doubly degenerate parabolic system with special volumetric moisture content, which is called a Non-Newton polytropic filtration system. Under appropriate hypotheses,  prove that the solution either exists globally or blows up in finite time."}]